Find the value of the variable (x) to the nearest tenth.

The required equation of a line perpendicular is y = x + 5

Given the equation y = -x + 2, the slope of the line is -1

Substitute the slope and the point into the point-slope form of the equation expressed as:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-3.5=1(x-(-1.5))\\y-3.5=x+1.5\\y=x+1.5+3.5\\y=x+5[/tex]

Hence the required equation of a line perpendicular is y = x + 5

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Answer:

if you find the age of bob the rest is easy

Step-by-step explanation:

Answer:

x=3

y=-2

Step-by-step explanation:

Just ask!

Hope this helps.

(✿◡‿◡)

Answer:

Step-by-step explanation:

Step-by-step explanation:

I guess the question is how many ounces are needed per paint. right ?

the colors are mixed in a ratio 3:5.

what that tells us is that there are 8 units of the whole paint (3+5), and yellow gets 3 out of these 8, and blue 5 out of these 8.

the total is 32 ounces.

so, each of the 8 units represents

32/8 = 4 ounces.

and now we know :

yellow has 3 units

3×4 = 12 ounces

blue has 5 units

5×4 = 20 ounces

Answer:

Step-by-step explanation:

1) "The length of a rectangle is three more than twice the width." This can be written in a math sentence as  

L = 2W + 3

 where "twice the width" is 2W and "three more" is just adding 3.

 2) "Perimeter is 36 inches". Recall the formula for the perimeter of a rectangle

 P = 2W + 2L

  set the formula to 36 and that gives us our second equation: 36 = 2W + L

then use substitution do solve

Answer:

1) 1600cm² 2 )4095cm² 3) 550cm²

Step-by-step explanation:

Because area is length times width, you can use that on these problems.

1) 40*40=1600

2)65*63=4095

3)25*22=550

Answer:

4.603/Lb

Step-by-step explanation:

$55.23 / 12 = 4.603/Lb

Es probable que el número de personas a las que si les gusta comer huevo al desayuno todos los días sea 90 personas.

Según principios estadísticos, es posible determinar una tendencia general utilizando una muestra de la población. En otras palabras, es posible tener una idea aproximada de las preferencias de una población si se logran determinar las preferencias de un pequeño grupo de dicha población.

En este caso sabemos que la población total equivale a 3120 habitantes, la muestra equivale a 620 personas y en la muestra 18 personas comen huevo al desayuno todos los días.

Usando una regla de tres podemos determinar la tendencia general:

Es decir que aproximadamente 90 personas tienen esta misma preferencia.

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[tex]a(n) = {n}^{2} + 3[/tex]

Answer:

nth term is equal to n²+3

Answer:

ASA

Step-by-step explanation:This is because the two triangles have two angles and a side that are equal to each other. pls brainlyest me

Adding this so you can give the other person a brainlyist

Answer:

  129

Step-by-step explanation:

When referring to the constant in a polynomial, we're generally referring to the term that has no variables in it. Here, that term is 129.

The constant is 129.

Answer:

x² - 4x + 4  

Step-by-step explanation:

(x -2)(x - 2)                

x² - 2x - 2x + 4          Expand using FOIL.

x² - 4x + 4                 Simplify.

Pay attention in school bud

Answer:

(5,11)

(0,1)

(-2,-3)

Step-by-step explanation:

y=2(5)+1

y=10+1

y=11

so... (5,11)

y=2(0)+1

y=0+1

y=1

so... (0,1)

y=2(-2)+1

y=-4+1

y=-3

so... (-2,-3)

Answer:

Table B

Step-by-step explanation:

In order for a set of data to represent a function, there must be a pattern. In Table B , you can see that when you add or subtract 3 from the original input -8 (to get -5 or -11), that the values for -5 and -11 are matching. That signals there is a function.

Answer:

Step-by-step explanation:

(4+3i)(12-2i)

48 - 8i + 36i - 6i^2

48 + 28i +6

54 + 28i

Answer:

D. The limiting value of the city population is 187,600 people.

Step-by-step explanation:

I'm honestly not sure, but it's based on the 187.6 on top of the equation. Correct on Edge 2021

The motion of the hour hand of a clock is a periodic motion that repeats every 12 hours.

Reasons:

The given parameters are;

The variation of the height of the tip of the hour hand = 9 feet to 10 feet

At t = 0, the time = 12.00 a.m.

Required: The equation that can be used to model the height as a function of time.

Solution:

The general form of the cosine function is presented as follows;

y = a·cos(b·x - c) + d

The amplitude = a

[tex]\displaystyle a = \mathbf{ \frac{Maximum \ value -Minimum \ value}{2}}[/tex]

Therefore;

[tex]\displaystyle a = \frac{10 -9}{2} = 0.5[/tex]

b = The cycle speed

The period, T, is given as follows;

[tex]\displaystyle T = \mathbf{ \frac{2 \cdot \pi}{b}}[/tex]

The period of a block, T = 12 hours

Therefore;

[tex]\displaystyle b = \frac{2 \cdot \pi}{T}[/tex]

[tex]\displaystyle b = \frac{2 \cdot \pi}{12} = \mathbf{ \frac{ \pi}{6}}[/tex]

[tex]\displaystyle d = \mathbf{ \frac{Maximum \ value +Minimum \ value}{2} = \frac{10 + 9 }{2}} = 9.5[/tex]

At t = 0, H = The highest point = 10 ft.

Which gives;

[tex]\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \times 0 -c\right) + 9.5} = 10[/tex]

[tex]\displaystyle cos \left( -c\right) = \frac{0.5}{0.5} = 1[/tex]

-c = arcos(1) = 0

-c = 0

c = 0

The equation is therefore;

[tex]\displaystyle H = \mathbf{0.5 \cdot cos \left(\frac{\pi}{6} \cdot t \right) + 9.5}[/tex]

The above equation is the same as; H = 0.5cosine (StartFraction pi Over 6 EndFraction t) + 9.5

Learn more about the cosine function here:

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Step-by-step explanation:

cars : trucks = 3 : 5

there are 3 + 5 = 8 parts of the whole that is shared between cars and trucks.

these 8 parts (or the whole) are in total 360.

therefore, 1 part = 360/8 = 45

cars get 3 parts of the whole parking lot, that is

45 × 3 = 135 cars

trucks get 5 parts of the whole parking lot, that is

45 × 5 = 225 trucks

Answer:

19/15 is the answer

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

Explanation:

The reference angle is 24 degrees. Opposite that angle is the side 8 units long. The horizontal portion is unknown and it's the adjacent side.

Also unknown is the value of x which is the hypotenuse.

To summarize:

The hypotenuse is always opposite the 90 degree angle.

To tie together the opposite and hypotenuse, we'll use the sine ratio

sin(angle) = opposite/hypotenuse

sin(24) = 8/x

x*sin(24) = 8

x = 8/sin(24)

x = 19.6687 approximately

x = 19.7 after rounding to the nearest tenth.

Side note: your calculator needs to be in degree mode

[tex] \frac{1}{2} [/tex]

Answer:

the correct answere is 1:2

Step-by-step explanation:

my sister is working on the same thing and I helped her and she got it right.

The 17th term of the arithmetic series would exceed the 16th term by the common difference

17th term = 16th term + 4

Hence the 16th term is 30 - 4 = 26

Answer:

Petra would need to save for 12 weeks to get 126

126+34.75=160.75

Petra need to save $10.50 to have enough money to buy the electronic reader in 12 weeks.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Petra wants to buy an electronic reader that costs $160.75 including tax. She has saved $34.75.

Here, So far and plans to save an additional $10.50 each week.

Let number of weeks to save $10.50 to have enough money to buy the electronic reader = x

So, We can formulate;

⇒ 10.50x + 34.75 = 160.75

Solve for x;

⇒ 10.50x = 160.75 - 34.75

⇒ 10.50x = 126

⇒ x = 126/10.50

⇒ x = 12

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Answer: The two companies never charge the same amount to rent a bicycle for the same number of hours.

Answer:

B. (-4-2)

Step-by-step explanation:

since the numerator is one you can divide -8 by the denominator of each fraction. -8/2 = -4, -8/4 = -2

(-4-2)

You have to make sure you distribute the -8 to all parts inside the parenthesis for it to be right.

i hope this helps :)

Answer:

she would need to sell 88.6

Step-by-step explanation: