Question 17 PLEASE HELP given the function: f(x) =3x+7. Find the value of y when x=-8

Answer:

d: 2.6179, e: 4.1887, f: 5.2359 all in rad

Step-by-step explanation:

(d): 150°degrees

150° × π / 180°

= 0.83333333333π rad

= 2.6179 rad

(e):240°degrees

240° × π / 180°

= 1.3333333333π rad

= 4.1887 rad

(f): 300°degrees

300° × π / 180°

= 1.6666666667π rad

= 5.2359 rad

If all my stuff is correct please give me an 5/5 and a thanks. :)

Answer:

Step-by-step explanation:

V=lwh=4*5*10=200 cubic inch or in^3

Answer:

Step-by-step explanation:

Answer:

45 degrees

Step-by-step explanation:

corresponding angles have are equal

Answer:

30°  and 150°

Step-by-step explanation:

Let the smaller side is x then other side is 5x,

x+5x=180°[interior property]

on solving we get

6x=180°

x=30°

therefore the other side is 5x=5*30°=150°

Answer:

30 degrees and 150 degrees

Step-by-step explanation:

x+5x=180

6x=180

180/6=30

x=30

5x=150

Hope this helps

Answer:

y=2x-3, x=23.5

Step-by-step explanation:

This is what i got.

The rectangular form of equation is y= x² /9 - 10x/9 - 34/9.

An equation made up of variables like x and y that can be plotted on a standard Cartesian plane is referred to as a rectangular equation or an equation in rectangular form.

Given:

x=3t+5.....(1)

y=t²-1.....(2)

From equation (1), we get

t= 1/3(x-5)

Now, put t in equation (2)

y= 1/9 (x- 5)² - 1

y = 1/9 x² - 25/9 -10x/ 9 - 1

y= x² /9 - 10x/9 - 34/9

Learn more about rectangular form here:

https://brainly.com/question/10345510

#SPJ2

Answer:

29/69 (= 0.42)

Step-by-step explanation:

there are several ways to do this, one way is to use fractions:

Expressing each decimal in improper fractions:

14.5 = 14 1/2 = 29/2

34.5 = 34 1/2 = 69/2

Hence,

14.5 ÷ 34.5

= 29/2 ÷ 69/2

= 29/2  x 2/69

= 29/69   (answer)

If you need the answer in decimal, you can use long division to do 29÷69 and you will get 0.42 (nearest hundredth)

Answer:

68

Step-by-step explanation:

Step 1: Convert fraction to improper

4 1/4 = 16/4 + 1/4 = 17/4

Step 2: Multiply 16 and 17/4

16(17/4) = 272/4 = 68

Answer:

7m(3m^6 - m^4 + 7)

Step-by-step explanation:

This is a factorization question

All we want to do here is to factor out 7m from each term of the polynomial

This becomes;

21m^7 -7m^5 + 49m = 7m (3m^6 - m^4 + 7)

*check attachment for options given

Answer:

Ariel (150 words per minute)

Step-by-step explanation:

We are given the different rate at which each student reads number of words against time.

To select which student reads the fastest (greatest number per minute), let's calculate for each student the number of words they can read per minute using the information given to us about the 3 students in the options.

==>Tamar:

Let "a" be the number of words Tamar reads per minute

500 words = 5 minutes

a = 1 minutes

Cross multiply

500*1 = 5*a

500 = 5a

500/5 = a

a = 100 words per minute.

==>Levi:

From the table given for Levi, he reads 280 words in 2 minutes

Let "b" be the number of words he would read per minute

280 = 2

b = 1

280*1 = 2*b

280 = 2b

280/2 = b

140 = b

b = 140 words per minute

==>Ariel:

From the graph given for Ariel, 300 words is read in 2 minutes.

Let c = words read per minute

300 = 2

c = 1

300*1 = 2*c

300 = 2c

300/2 = c

150 = c

c = 150 words per minute

The student that reads fastest is Ariel (150 words per minute)

Answer:

ariel

Step-by-step explanation:

Khanacademy

Trust

Answer:

Step-by-step explanation:

x +2y = 8  ----- (I)

 x = 8 - 2y

x - 3y = 6 -------(II)

Substitute x = 8 - 2y in equation (II)

8 - 2y - 3y = 6    {add like terms}

8 - 5y = 6

Subtract 8 form both sides

 -5y = 6- 8

 -5y = -2

Divide both sides by -5

 -5y/-5 = -2/-5

y = 2/5

Substitute y = 2/5 in equation (I)

[tex]x+2*\frac{2}{5}=8\\\\x+\frac{4}{5}=8\\\\x=8- \frac{4}{5}\\\\x=\frac{8*5}{1*5}-\frac{4}{5}\\\\x=\frac{40}{5}-\frac{4}{5}\\\\x=\frac{36}{5}[/tex]

x = 36/5

Answer:

The range is 8.

Step-by-step explanation:

7, 1, 9, 3, 5

The range = Largest no. - Smallest no.

9 - 1 = 8

Answer:

[tex]8[/tex]

Step-by-step explanation:

[tex]7 \: \: \: 1 \: \: \: 9 \: \: \: 3 \: \: \: 5[/tex]

Largest value in this set = 9

smallest value in this set = 1

Range = largest value - smallest value

= 9 - 1

= 8

Image is missing, so i have attached it

Answer:

21.07 mm²

Step-by-step explanation:

We will use the Formulas:

Area of semicircle = πr²/2

Area_rectangle = Length x width = Lw

We are given:

Length of rectangle = 14 mm

From the attached image, the diameter of the semicircle is equal to the length of the rectangle.

Thus;

diameter of semicircle = length of rectangle

Therefore,

diameter of semicircle = 14 mm

Also, from the attached image, the radius of the semicircle is equal to the width of the rectangle.

Thus;

diameter of semicircle/2 = radius of semicircle

Hence;

radius of semicircle = 14/2 = 7mm = width of rectangle

Thus;

Area of rectangle = L*w = 14 × 7 = 98 mm²

Area of semicircle = πr²/2 = π×7²/2 = 76.93 mm²

To get the area of the shaded region, we will subtract area of the semi-circle from the area of the rectangle.

Area of shaded region = Area_rectangle - Area_semicircle = 98 - 76.93 = 21.07 mm²

Answer:

16

Step-by-step explanation:

61+3=64

16*4=64

64=64

Answer:

30° and 60°

Step-by-step explanation:

Step 1: Write out equation

x + (x + 30) = 90

Step 2: Solve for x

2x + 30 = 90

2x = 60

x = 30

Step 3: Find other angle

90 - 30 = 60

Answer:

30 and 60

Step-by-step explanation:

Let x be one  angle

x+30 is the other angle

Complementary angles add to 90

x+ x+30 = 90

2x+30 = 90

Subtract 30 from each side

2x=90-30

2x= 60

Divide by 2

2x/2 = 60/2

x = 30

The angles are 30 and 30+30 = 60

Answer:

-1.8,3

Step-by-step explanation:

This type of problem often results in two answers for X, and to get it, I often like to rearrange the formula to look like this: 5x^2-6x-27. There are various ways to answer this question, but since this is a quadratic equation, I commend using the quadratic formula! It may look scary, but it is actually really simple. I will attach a picture of this formula for reference when you need it.

looking at our modified formula, a= 5, b=-6, and c= -27. With these values in mind, you can go ahead and plug them in the formula. So it will look like (6±√(-6)²-4(5)(-27) )÷2(5).

Let’s break this down a bit, what this formula is saying is that you’ll have 2 operations to do now, the first one will look like this:

[tex](6+\sqrt{576})/10[/tex], this will result in 3, which is one of your values for x

the second operation will be exactly the same, but instead of adding 6 to the square root of 576 (pssst, it is 24 btw), you will be subtracting. This second operation once done will result in -1.8, which is rounded to the nearest tenth!

Hey there! :)

Answer:

[tex]n_{4} = 8\\ n_{5} = 16[/tex]

Formula: [tex]f(n) = 2^{n-1}[/tex]

Step-by-step explanation:

Derive a rule from the numbers in the sequence:

[tex]n_{1} = 1\\n_{2} = 2\\n_{3} = 4[/tex]

We can see that each number is double of the previous. We can write an explicit function describing this sequence:

[tex]f(n) = 2^{n-1}[/tex] where 'n' is the term number.

Substitute in to solve for the 4th and 5th terms:

[tex]f(4) = 2^{4-1} = 2^{3} =8[/tex]

[tex]f(5) = 2^{5-1} = 2^{4} =16[/tex]

Therefore:

[tex]n_{4} = 8\\ n_{5} = 16[/tex]

Answer:

[tex]\boxed{Area = 32.5 mm^2}[/tex]

Step-by-step explanation:

Area of Triangle = [tex]\frac{1}{2} (Base)(Height)[/tex]

Where base = 13 mm, Height = 5 mm

Area = 1/2 (13)(5)

=> Area = 1/2 (65)

=> Area = 32.5 mm^2

Answer:

c. 32.5 mm²

Step-by-step explanation:

The equation for the area of a triangle is a=1/2bh. In this equation you basically multiply the length of the base of the triangle times the height of the triangle and divide that by 2 to get the area. So, you would take 13, the base, and multiply it by 5, the height to get 65. Then, you would divide that by 2 to get 32.5 mm².

Answer:

IJ = 6

Step-by-step explanation:

This is a 30-60-90 triangle.

The ratio of the lengths of the sides is:

1 : sqrt(3) : 2

The short leg is the length of the long leg divided by sqrt(3).

The hypotenuse is twice the length of the short leg.

IK = JK/sqrt(3) = 3sqrt(3)/sqrt(3) = 3

IJ = 2IK = 2(3) = 6

Answer:

[tex] \frac{1}{6} [/tex]

Step-by-step explanation:

Total possible outcomes when you rolled the dices= 6*6=36

Outcome with sum as 7:

(1,6) (6,1)

(2,5) (5,2)

(3,4) (4,3)

N( outcomes with sum as 7)= 6

P(sum as 7):

[tex] \frac{n(outcomes \: with \: \: sum \: as \: 7)}{total \: outcome} \\ = \frac{6}{36} \\ = \frac{1}{6} [/tex]

Hope this helps...

Good luck on your assignment..

Answer:

B. x > 0

Step-by-step explanation:

Domain is all x-values that can be plugged in to get an output of y. When we graph out equation, we should see that we have an asymptote when we approach negative infinity and that we approach infinity when we approach positive infinity (looking at x-values). Therefore, we have to have x > 0 as our answer.

Answer:

X > 0

Step-by-step explanation:

Answer:

A slope is a surface of which one end or side is at a higher level than another; a rising or falling surface

Step-by-step explanation:

Answer:

9 ft

Step-by-step explanation:

Here, we have a square wall with a value of 84 square feet for the area and we are told to find the approximate height of the walls

Mathematically, the area of a square is L^2

The height of the walls is just as one of its side

Thus;

L^2 = 84

L = √(84)

L = 9.165

which to the nearest foot is 9 ft

Answer:  1) C. Reflexive Property of Congruence

               2) A. MD ≅ SG

               3) C. 5.3

               4) D. LK || MJ & JK ≡ LM

Step-by-step explanation:

1) An angle or side is congruent to itself by the Reflexive Property

2) TM ≡ LG       Sides are congruent (given)

   ∠M ≡ ∠G       Angles are congruent (given)

   MD ≡ SG       Sides are congruent                  

ΔTMD ≡ ΔLGS  Side-Angle-Side (SAS) Theorem

Note: The angle must connect the two sides

3) Use similarity proportion

[tex]\dfrac{6}{x}=\dfrac{9}{8}\\\\\\48=9x\\\\\\\dfrac{48}{9}=x\\\\\\5.3=x[/tex]

4) In order to prove a polygon is a parallelogram, you must show

Answer:

4.98

Step-by-step explanation:

Answer:

4.98

Step-by-step explanation:

Answer:

The correct answer is:

L'(5,15), M'(12,-36), and N'(-21,-11)

Step-by-step explanation:

We are given the following points:

L(-5,15)

M(-12,-36) and

N(21,-11)

To find:

Reflection of the points across the y axis.

Solution:

To find the reflection of any point across y axis, we need to consider the y axis as the mirror and we need to find the location of the image in this manner.

Property of the image:

The image of point and actual point will be equidistant from the y axis.

If we find mirror image across y axis, there is change in only x coordinate value. There is no change in y axis value.

Let us take the first point:

L(-5,15)

x coordinate value -5 is on the left side of y axis.

The reflection will be 5 units on the right side of x axis

[tex]\therefore[/tex] L' (5, 15)

Let us take the second point:

M(-12,-36)

x coordinate value -12 is on the left side of y axis.

The reflection will be 12 units on the right side of x axis

[tex]\therefore[/tex] M'(12,-36)

Let us take the third point:

N(21,-11)

x coordinate value 21 is on the right side of y axis.

The reflection will be 21 units on the left side of x axis

[tex]\therefore[/tex] N'(-21,-11)

Please have a look at the attached figure for the points and their reflection.

Reflection triangles is shown as dotted line.

The correct answer is:

L'(5,15), M'(12,-36), and N'(-21,-11)

Answer:

Total mass =  105.8 gram (Approx)

Step-by-step explanation:

Given:

Atoms of Cl = 6.3 × 10²³

Find:

grams of AuCl₃

Computation:

Molecules of AuCl₃ = 6.3 × 10²³ / 3 = 2.1 × 10²³

1 mol of AuCl₃ = 6.022 × 10²³ molecules

Number of mol = 2.1 × 10²³ /  6.022 × 10²³

Number of mol  = 0.348 mol

So,

Molar mass of AuCl₃ = 303.33 g/mol

Total mass = 0.348 mol × 303.33 g/mol

Total mass =  105.8 gram (Approx)

Answer:

Step-by-step explanation:

If the kilowatt-hours stay proportional to the total bill, then you are using more electricity. If the bill goes up a lot more than the kilowatt-hours, then you are on some sort of "rate plan" that punishes peak usage