Use the equation to predict the number of students in a school with 120 staff members.

Answer:

344 visitors

Step-by-step explanation:

Given that the relationship between the number of visitors to a museum(y) and the daily rainfall in mm(x) is defined as

y=14.1x+62.0

when the daily rainfall is 20 mm, the number of visitors

y = 14.1(20) + 62

= 282 + 62

= 344

It means that the expected number of visitors is 344 persons (to the nearest integer).

Step-by-step explanation:

Given

sin³ø cos ø + cos³ø sinø

= sin ø cos ø ( sin²ø + cos²ø)

= sinø cosø * 1

= sinø cosø

Hope it will help :)

Answer:

D. 118°

Step-by-step explanation:

x = 118° { being corresponding angles }

Answer:

The answer is a(7x+9)

Step-by-step explanation:

Answer:

6x+4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of a rectangle is the product of its side lengths. In this case

[tex]A=(2x+6)(3x-2)\\ \\ A=2x(3x)+2x(-2)+6(3x)+6(-2)\\ \\ A=6x^2-4x+18x-12\\ \\ A=6x^2+14x-12[/tex]

Answer:

the answer will be -1/6

Step-by-step explanation:

firstly there will be a multiplication sign in between 6 and 1/4 and 2 and 5/6 which when, when we will calculate the answer is -1/6

Answer:

41/12

Step-by-step explanation:

Answer:

Quadrant 2 and Quadrant 3

Step-by-step explanation:

Given

Set of all negative numbers

Required

Determine the quadrant it falls

Domain implies that we list the possible x values.

There are 4 quadrants and the x values in each quadrant are:

First quadrant: x is positive

Second quadrant: x is negative

Third quadrant: x is negative

Fourth quadrant: x is positive

From the above lists, we can see that x is negative in the second and the third quadrants.

Answer:

it will help you

Answer:

The countertop is  8.37 square meters

Step-by-step explanation:

Let

L ----> the length of the countertop

W ----> the width of the countertop

we know that

The area of rectangle (countertop) is equal to

we have

Remember that

To convert feet to meters multiply by 0.305

so

Find the area in square meters

Answer:

8.37

Step-by-step explanation:

hope this helps!

have a good day :)

Answer:

x = 7

Step-by-step explanation:

You need to figure which sides correspond and set up the proportions

Labeling the vertices of the triangles would help you.

I did that and found that 5x - 15 ↔ 10 since both of those sides are opposite the 42° angles and 36 ↔ 18

So [tex]\frac{5x - 15}{10} = \frac{36}{18\\}[/tex]

18(5x - 15) = 10(36)

90x - 270 = 360

90x = 630

x = 7

Answer:

124,352.56

Step-by-step explanation:

Answer:

25 degrees

Step-by-step explanation:

So a triangles angels equal 180 degrees

So for angel ECD 180 - (15+90) = 75

Straight lines also always equal to 180 degrees so

180 - (80+75) = 25

Measure of ∠BCE = 25° .

A figure which is formed by two rays or lines that shares a common endpoint is called an angle. The word “angle” is derived from the Latin word “angulus”, which means “corner”.

Given, In figure,

∠CED = 15°

∠EDC = 90°

∠BCA = 80°.

In triangle ECD

Sum of all interior angles of a triangle is 180°

∠ECD +∠CED +∠EDC = 180°

∠ECD + 15° + 90° = 180°

∠ECD = 180° - 105°

∠ECD = 75°

Now,

∠BCA,∠BCE and∠ECD are at point C on line AD.

Sum of all angles made at one point of line is 180°.

∠BCA +∠BCE +∠ECD = 180°

80° + ∠BCE + 75° = 180°

∠BCE = 180° - 155°

∠BCE = 25°

Hence, 25° is measure of ∠BCE.

Learn more about angle here:

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Answer:

The range of values of [tex](f + g)(x) \ge 3[/tex] is for all values of x [tex]-\infty[/tex] to [tex]+\infty[/tex]

Step-by-step explanation:

Given

[tex]f(x) = |x| + 9[/tex]

[tex]g(x) = -6[/tex]

Required

Describe the range of [tex](f+g)(x)[/tex]

First, calculate [tex](f+g)(x)[/tex]

[tex](f+g)(x) = f(x) + g(x)[/tex]

Substitute values for f(x) and g(x)

[tex](f+g)(x) = |x| + 9 -6[/tex]

Evaluate Like Terms

[tex](f+g)(x) = |x| + 3[/tex]

The above expression shows that [tex](f + g)(x) \ge 3[/tex]

Because [tex]|x| \ge 0[/tex]

Hence, the range of values of [tex](f + g)(x) \ge 3[/tex] is for all values of x [tex]-\infty[/tex] to [tex]+\infty[/tex]

Answer:

Figure B

Step-by-step explanation:

A translation does not "flip" the position of the pre-image. Figure C is a reflection of figure A.

A translation would "slide" the figure into a new position without mirroring nor rotating it.        

Figure B should be the translation of Figure A.

Hope this helps.

Figure B is the translation of figure A by 2 units up.

If a graph is translated and rotates by any amount either in x and y direction then it will be transfomation of the graph.

For example transformation of graph f(x) by 2 units down.

The new resultant graph could be only translated or rotated or both.

Given figure A

If we look at C then the face of this is towards the right but in figure A the face is towards the left.

So it means C will translate + rotation of graph A it will not be pure translation.

In figure B it is clear that it is a translation of figure A by 2 units upward.

Hence "Figure B is the translation of figure A by 2 units up".

To learn more about the transformation of the graph

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Answer:

10%

Step-by-step explanation:

10 out of 100 is 10%

Answer:

10

Step-by-step explanation:

number of students= 100

number of enrolled students = 10

percentage of enrolled students

100+ 10/100 %

= 10%

ANSWER:

dividing something into equal pieces, exchanging money, comparing prices, understanding time and making calculations during travel.

Answer:

a = 72° b = 88°

Step-by-step explanation:

We know in the cyclic quadrilateral opposite angles are supplementary so

a + 108° = 180° { being opposite angles of cyclic quadrilateral }

a = 180° - 108°

a = 72°

b + 92° = 180° { being opposite angles of cyclic quadrilateral }

b = 180° - 92°

b = 88°

Answer:

g(x) is horizontally stretched by a factor of 1/5

Step-by-step explanation:

Given

[tex]f(x) = x^2[/tex]

[tex]g(x) = (\frac{x}{5})^2[/tex]

Require

Determine the relationship between f(x) and g(x)

[tex]f(x) = x^2[/tex]

[tex]g(x) = (\frac{x}{5})^2[/tex]

Express g(x) in terms of f(x)

[tex]g(x)=f(\frac{x}{5})[/tex]

This can further be simplified as:

[tex]g(x)=f(\frac{1}{5}x)[/tex]

When a function is represented as:

[tex]g(x) = f(cx)[/tex]

Where c < 1,

Then the type of translation is a horizontal stretch (stretch in the x direction)

By comparison: [tex]g(x) = f(cx)[/tex] and [tex]g(x)=f(\frac{1}{5}x)[/tex]

[tex]c = \frac{1}{5}[/tex]

This means that: g(x) is horizontally stretched by a factor of 1/5

Answer:

x=3

Step-by-step explanation:

5(x+1)=20

5x+5=20

-5 -5

5x=15

now just divide 5 from 15 which is 3 so x=3

Answer:

arkadaşlar bu şeyler

Türkçeye nasıl cevriliyor

Answer:

-30

Step-by-step explanation:

-6-24

=-30

...........

Answer:

soy español y no hablo ingles

Answer:

wrong

Step-by-step explanation:

Answer:

your friend is right and you are too your both right