Question 5
Given the sequence, 35, 32, 29, 26, 23, ...
Find the following:
a1 =

Step-by-step explanation:

As per figure, we can see that they are supplementary angles.

What are Supplementary Angles?

The angles whose sum equals 180°.

So, according to Question, we can write that:-

[tex]3x + 2 + 112 = 180[/tex]

[tex]3x + 114 = 180[/tex]

[tex]3x = 180 - 114[/tex]

[tex]3x = 66[/tex]

[tex]x = \dfrac{66}{3} [/tex]

[tex]x = 22[/tex]

is the answer.

Hope it helps :)

Answer:

Step-by-step explanation:

180-120=60

4*18-12=60

x=60

Answer:

hope it helps you to understand

Answer:

wouldnt it be 3?

Step-by-step explanation:

Answer:

3 hectoliters

Step-by-step explanation:

Divide the volume value by 100

Answer: 0.91

Step-by-step explanation: im hungry

Answer:

a. Please find attached the required scatter plot

b. The minimum temperature in the data set is 67°F

c. The maximum temperature in the data set is 106°F

d. The vertical shift for the data set is 67°F

e. The amplitude 19.5 °F

f. The period is 12 months, the frequency = 1/12 months

h. The sine function equation that models the data set is 19.5·sin(π·t/6 - π/2) + 86.5

i. After the second and before the third month or after the ninth and before the 10th month

Step-by-step explanation:

The equation for the sinusoidal variation of temperature with time can be presented as follows;

y = A·sin(Bt + C) + D

Where;

A = The amplitude = (The Maximum value - The minimum value)/2

The amplitude = (106 - 67)/2 = 19.5°F

B = 2·π/(The period) = 2·π/12 = π/6

t = The time in months

C = The phase shift = -π/2

D = The midline = (The Maximum value + The minimum value)/2 = (106 + 67)/2 = 86.5 °F

The equation that models the data = 19.5·sin(π·t/6 - π/2) + 86.5

When the temperature is 82°, we have;

82 = 19.5·sin(π·t/6 - π/2) + 86.5

82 - 86.5 = 19.5·sin(π·t/6 - π/2)

-4.5°F = 19.5·sin(π·t/6 - π/2)

sin⁻¹(-4.5/12) = π·t/6 - π/2

-0.3844  = π·t/6 - π/2  

-0.2329 = π·t/6 - π/2  

t = 2.55 or 12 - 2.55 = 9.44

Which is either after the second and before the third month or after the ninth and before the 10th month.

In this exercise we have to use the function knowledge to calculate the temperature that is requested in each alternative, so we have to:

a. The answer is in the scatter plot  

b. The minimum is 67°F

c. The maximum is 106°F

d. The vertical shift is 67°F

e. The amplitude 19.5 °F

f. The frequency is 1/12 months and the period is 12.

h. The sine function equation that models the data set is [tex]19.5sin(\pi t/6 - \pi /2) + 86.5[/tex]

i. After the second and before the third month or after the ninth and before the 10th month

The equation for the sinusoidal variation of temperature with time can be presented as follows;

[tex]y = Asin(Bt + C) + D[/tex]

Where;

The equation that models the data is given by:

[tex]19.5sin(\pi t/6 - \pi/2) + 86.5[/tex]

When the temperature is 82°, we have;

[tex]82 = 19.5sin(\pi t/6 - \pi/2) + 86.5\\82 - 86.5 = 19.5sin(\pi t/6 - \pi/2)\\-4.5\°F = 19.5sin(\pi t/6 - \pi/2)\\sin^{-1}(-4.5/12) = \pi t/6 - \pi /2\\-0.3844 = \pi t/6 - \pi /2 \\-0.2329 = \pi t/6 - \pi /2\\t = 2.55 \ or \ 9.44[/tex]

Which is either after the second and before the third month or after the ninth and before the 10th month.

See more about temperature at brainly.com/question/15267055

Answer:

It’s D, X>-5

I’m sure I had that question and I got it right

Answer:

d

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

50*1.5=75  75*2=150. Hope your day gets better =)

i sadly can not see it

Step-by-step explanation:

Answer:

1 way -1 in each group

2 way- 3 in each group

3 way-2 in one group and 1 in another grop

Answer:

Step-by-step explanation:

I can give you the key points to look for without the graph. You'll have to do that.

New y intercept

The intercept increases by 2. Currently it is 2. The new y intercept is 2 + 2 = 4

The new Slope

The slope is multiplied by - 9. Currently it is (y2-y1)/(x2 - x1) = (2-0)/(0-6) = 2/-6= - 1/3

This is multiplied by - 9

-9*(-1/3) = 3

New equation

y = 3x + 4

x intercept.

The x intercept occurs when y = 0.

0 = 3x + 4

-4 = 3x

-4/3 = x

Discussion

What you are looking for is a line that goes through two points

(0,4)   and

(-4/3,0)

Answer:

I believe its

D. Y

Step-by-step explanation:

hope this is correct

please give me brainiest if correct

I just checked that the answer is correct

So this is the right answer by the ways!

Answer:

m∠EBC = 62°

m∠EBA = 124°

m∠CBA = 62°

Step-by-step explanation:

It's given in the question that a line BC bisects angle EBA.

And m∠EBC = 62°

Since, BC is an angle bisector of ∠EBC,

Therefore, m∠EBC = m∠CBA = 62°

Since, m∠EBA = 2(m∠EBC)

Therefore, m∠EBA = 2 × 62° = 124°

Answer:

oh uh part A is 30 yd cubed I only know that

Answer:

37 1/3

Step-by-step explanation:

10 2/3 * 3.5=37 1/3

Answer:

the answer is 16/7/76

Step-by-step explanation:

ucjss

Answer:

i just know you can have 12 gallons of gas

Step-by-step explanation:

because it is 3x2=6

3x10=30 which means 10+2=12

Answer:

Y= -2x+3

Step-by-step explanation:

the point (0,3) is where the y intercept is (since x is 0 and y is 3) and the -2 is the slope (or -2/1, it's still the same thing though).

Hoped this helped!

Answer:

2:10; 3:15; 4:20; etc

Step-by-step explanation:

The equivalent rations can be found by finding a common factor for 1:5. Examples include 2:10, 3:15, 4:20, etc. All of these have a common factor and thus are the equivalent ratios to 1:5.

The equivalent ratio to 1:5 is 2:10,3:15,4:20, etc.

Given that,

Here the equivalent ratio could be determined by measuring the common factor.

Like 2:10 = 1:5

3:15 = 1:5

4:20 = 1:5

Therefore we can conclude that the equivalent ratio to 1:5 is 2:10,3:15,4:20, etc.

Learn more: brainly.com/question/25326254

Y = mx + c

7= (-5)(-2)+ c

7= 10 +c

7-10=c

-3=c

Equation of the line: y = -5x-3

Sub in (a, 2)

2= - 5(a)-3

2+3= -5a

5= - 5a

1= - a

A = -1

Answer:

-7

Step-by-step explanation:

Answer:

he can buy 7 pairs of socks

Step-by-step explanation:

4 times 7 = 28

28 - 5 (coupon) = $23

Answer:

The Equation is 4p-5≤25 and the inequality for  p is p  ≤ 7.5

Step-by-step explanation: I got It right on my quiz Trust me Now Mark me Brainliest

Answer:

Step-by-step explanation:

$2.50+.30=2.80       2 miles

$1.00+1.80=2.80         9 miles

Answer:

Step-by-step explanation:

The burger was 3 dollars and 50 cents . The two order of fries were 3 dollars

Answer:

$3.50

Step-by-step explanation:

first you take the amounts you do know, which is the total amount and the cost of one order of fries.

you know he got 2 fries, so thats 1.50 times 2.

1.50 x 2 = 3.00

then you subtract that from the total

6.50 - 3.00 and you're left with 3.50

Answer:

4 packs of medium cups and 6 packs of large cups

Step-by-step explanation:

1.80x + 2.40y = 21.60

1.80(4) + 2.40(6) = 21.60

7.2 + 14.4 = 21.60

21.60 = 21.60

Answer:

Ivy bought 4 packs of medium cups, and 6 packs of large cups.

Step-by-step explanation:

To solve this problem, we will have to use a system of equations. Our first equation will represent the cups, and our second equation the costs.

Let [tex]m[/tex] equal medium cups.

Let [tex]l[/tex] equal large cups.

[tex]m+l=10[/tex]

[tex]1.80m+2.40l=21.60[/tex]

Let's use substitution to solve this system.

Subtract [tex]l[/tex] from both sides of the first equation:

[tex]m=10-l[/tex]

Let's substitute [tex]10-l[/tex] into the second equation for [tex]m[/tex]:

[tex]1.80(10-l)+2.40l=21.60[/tex]

Distribute [tex]1.80[/tex] into [tex](10-l)[/tex]:

[tex]18-1.80l+2.40l=21.60[/tex]

Combine like terms:

[tex]18+0.6l=21.60[/tex]

Subtract [tex]18[/tex] from both sides of the equation:

[tex]-0.6l=3.60[/tex]

Divide by the coefficient of [tex]l[/tex], which is [tex]0.6[/tex]:

[tex]l=6[/tex]

Ivy bought 6 packs of large cups.

_

Let's substitute [tex]6[/tex] into the first equation to find the number of medium cup packs:

[tex]m+6=10[/tex]

Subtract [tex]6[/tex] from both sides of the equation:

[tex]m=4[/tex]

Ivy bought 4 packs of medium cups.

_

We can check our work 2 ways; by substituting our solved values into the initial equations.

1st Equation Check:

[tex](4)+(6)=10[/tex]

[tex]10=10[/tex]

2nd Equation Check:

[tex]1.80(4)+2.40(6)=21.60[/tex]

[tex]7.2+14.4=21.60[/tex]

[tex]21.60=21.60[/tex]

Our answers are correct!

Answer:

1/2

Step-by-step explanation:

see attached picture.

Answer:

Add -3+8

Step-by-step explanation:

You would do this first because it is in the brackets. Usually you would do (*) first but those are just there because the 4 is negative and if they were not there it would get confusing and look like this::[-3+8]--4. So the next step would be the [*].

HOPE THIS HELPS!!!

Answer:

Use PEMDAS

Step-by-step explanation:

Parenthesis, If there are none move on to exponents if there are no exponents move to multiplication. No multiplication? use division. If you dont see division use addition and lastly if there is no addition use subtraction. In the equation, it looks like you have to make the -3 and 8 positive. So, since the -4 is in the parenthesis(P) multiply(M) 4 by 3 and 8 once the three is positive. So your final answer would be either C or D

Its the best i could do but good luck. I tried...

Answer:

that question is written wrong. you cant age the equation. speak to a teacher before answering.

Step-by-step explanation:

Answer:

y = 4x - 2

Step-by-step explanation:

First, let's find the slope of the equation. If you take a look at the table of values, as x goes up by 1, y goes up by 4. This means the slope is 4. To find the y-intercept, look where x = 0. When x = 0, y = -2.

In conclusion, the equation is:

y = 4x - 2

Answer:

i think you would treat the other side of the equation like a zero so it would be 4x-6=0 then solve 4x=6 x=1.5

Step-by-step explanation:

We want to graph a line with a slope of -5 that contains the point (-3, -4), the graph can be seen at the end.

We first need to get the equation of the line that we must graph.

The general line equation is:

y = a*x + b

Where a is the slope and b is the y-intercept.

Here we know that the slope must be -5, so we have:

y = -5*x + b

And we know that it must contain the point (-3, -4), then we can replace these values for x and y in the equation and solve it for b:

-4 = -5*-3 + b

-4 = 15 + b

-4 - 15 = b

-19 = b

Then the linear equation is:

y = -5*x - 19

To graph this you just need to find two points on the line and then connect them with a line, we already know one (-3, -4). To get another we can evaluate the equation in any value of x, for example with x = 0 we get:

y = -5*0 - 19

y = -19

Then the other point is (0, -19)

With these two points you will get the graph below:

If you want to learn more about linear equations, you can read:

https://brainly.com/question/4074386

Answer:

[tex]\displaystyle 5x + y = -19\:or\:y = -5x - 19[/tex]

Step-by-step explanation:

Plug the information into the Slope-Intercept Formula:

[tex]\displaystyle y = mx + b \\ \\ -4 = -5[-3] + b \hookrightarrow -4 = 15 + b; -19 = b \\ \\ y = -5x - 19[/tex]

Suppose you need to write this equation in standard form. You would follow these procedures:

y = −5x - 19

+ 5x + 5x

__________

[tex]\displaystyle 5x + y = -19[/tex]

I am joyous to assist you at any time.

Answer:

6(x+4)=30

6x+24=30

6x+24-24=30-24

x=6/6

x=1

Step-by-step explanation:

Hope this helps you

Mark me as brainliest

Answer:

Step-by-step explanation:

6(x+4) = 30

6x + 24 = 30

6x = 30 - 24

x = 6/6

x = 1

Answer:

Step-by-step explanation:

g(x) = (x + 4)4(x − 9)

At x = −4, the graph touches the x–axis.

At x = 9, the graph crosses the x–axis

Answer:

B and A

Step-by-step explanation: