<1 and <2 are complementary angles. the measure of <1 is 42°. The measure of <2 is 3x°. find the value of x.​

Answer:

B

Step-by-step explanation:

We are given that the position of a particle is modeled by the function:

[tex]s(t)=2t^3-24t^2+90t+7[/tex]

And we want to find the times for which the speed of our particle is increasing.

In other words, we want to find the times for which our acceleration is positive (a(t)>0).

So first, we will find our acceleration function. We can differentiate twice.

By taking the derivative of both sides with respect to t, we acquire:

[tex]\displaystyle s^\prime(t)=v(t)=\frac{d}{dt}\big[2t^3-24t^2+90t+7\big][/tex]

Differentiate:

[tex]v(t)=6t^2-48t+90[/tex]

This is our velocity function. We can differentiate once more to acquire the acceleration function. Therefore:

[tex]\displaystyle v^\prime(t)=a(t)=\frac{d}{dt}\big[6t^2-48t+90\big][/tex]

Differentiate:

[tex]a(t)=12t-48[/tex]

If our speed is increasing, our acceleration must be positive. So:

[tex]a(t)>0[/tex]

By substitution:

[tex]12t-48>0[/tex]

Now, we can solve for t:

[tex]12t>48\Rightarrow t>4[/tex]

Therefore, the only interval for which the speed of the particle is increasing (i.e. the acceleration is positive) is for all times t>4.

So, our answer is B.

Answer:

0.1039

Step-by-step explanation:

Obtain the place value of 9 in each value and choose the smallest :

1.95

9 is the first digit after the decimal point ; which is equal to 0.9 = tenth place

0.1039

9 is the 4th digit after the decimal point ; which is equal to 0.0009 = ten thousandth place

3.092

9 is the second digit after the decimal point ; which is equal to 0.09 = hundredth place

2.009​

9 is the third digit after the decimal point ; which is equal to 0.009 = thousandth place

Hence the smallest value of 9 among the options given resides in 0.1039 (ten thousandth place).

Answer:

1. 8 people

2. 2 people

3. the difference is 1

4. 4 people

5. skiing, snowboarding, ice skating, sledding

Step-by-step explanation:

1. it shows on the graph

2. you subtract the number of people ice skating by the number of people sledding

3. you add ice skating and sledding then subtract that total from the amount of people skiing

4. you have to subtract skiing from ice skating and then add one to ensure it is the most liked

you simply go from greatest to least

Answer:

Step-by-step explanation:

Para meter of rhombus is equals 40 m

So one side of rhombus is equal to 10 m

Now

Area of rhombus is equals to half into base into altitude

1/2*10*altitude=84

Altitude = 16.8m

Answer:

One hour

Step-by-step explanation:

Sixty minutes is one hour. Hope I helped you out.

Answer:

1 hour

Step-by-step explanation:

60 seconds = 1 minute

60 minutes = 1 hour

Lil Pump = Forever

Answer:

2

Step-by-step explanation:

2 x 2 = 4

4x2 is 8

8x2 = 16

16x2= 32

And then 32 x 2 = 64

Answer:

2

Step-by-step explanation:

multiply down

Answer:

t=6

Step-by-step explanation:

your welcome :)

Answer:

I believe that the answer is 6  

Step-by-step explanation:

Because I got it right

Answer:

2

Step-by-step explanation:

We have

n = 4 scores

SS = 48

For this question, we are required to find the estimated standard error

To get this, we first solve for the variance

S² = SS/n-1

= 48/4-1

= 48/3

= 16

Then S² = 16

S = √16

S = 4

Then the estimated standard error is given by:

S/√n

= 4/√4

= 4/2

= 2.

The estimated standard error is 2.

Answer:

28a

Step-by-step explanation:

add the 13 and the 15 but make sure you put the a back on the end

Answer:

28a

Step-by-step explanation:

13a + 15a = 28a

Just simply add the like terms.

Answer:

a=4

b=6

perimiter=38

Step-by-step explanation:

you take the side lengths by it and you can subtract and stuff then you add them all up to find the perimeter

Answer:

3-9=6 and 6-10=4

Step-by-step explanation

part of b is cut by 3 as u can see above and 9 is at the bottom on which the part is cut, as for the other one 10 is the main line and is cut by 6. so u just have minus the main line aka the long line by a parallel line next to it

Answer:

20

Step-by-step explanation:

Answer:

77,5

Step-by-step explanation:

13

. 75

_____

65

71

_____

77,5

Answer:

600,000,000

Step-by-step explanation:

Simplify the expression.

Scientific Notation:

6 ⋅ 10 ^8

Expanded Form:

600000000

3*10³/5*10-⁶

3*10⁹/5

600000000 or you can write 6*10⁸

Answer:

The surface area of the box in terms of l is [tex]2l^2 +116/l[/tex]

Step-by-step explanation:

The length of the box = [tex]l[/tex]

The height of the box = [tex]h[/tex]

The volume of the box can be obtained by multiplying the surface area of the base by the height of the box.

The surface area of the base of the box is a square, so it will be obtained by multiplying [tex]l \times l = l^2[/tex]

hence volume = [tex]l^2 \times h =29[/tex]

Notice that we are told to give our answer in terms of l, so we will make h the Subject of the formula in the above equation.

[tex]h =29/l^2[/tex]

In the next phase, we are to find the surface area of the box.

The box has a square base, hence it will be made up of

2 squares with 4 rectangles. This is assuming the top is closed.

This means the surface area will be

[tex]2(l^2) +4 (l\times h)[/tex]

recall [tex]h = 29/l^2[/tex]

Hence, surface area =

[tex]2(l^2) +4(l \times 29/l^2)\\2l^2 +116/l[/tex]

The surface area of the box in terms of l is [tex]2l^2 +116/l[/tex]

The surface area of the closed box in terms of l only, which has the square base is,

[tex]2l^2+\dfrac{116}{l}\;\rm ft^2\\[/tex]

Volume of cuboid or box is the amount of quantity, which is obtained by it in the 3 dimensional space.

The volume of cuboid or box can be given as,

[tex]V=l\times b\times h[/tex]

Here, (l) is the length, (b) is the width of the box and (h) is the height of the box.

A closed box has a square base with side length l feet and height h feet.  Therefore, the length and width will be the same.

The volume of the box is 29 cubic feet. Thus,

[tex]29=l\times (l)\times h\\h=\dfrac{29}{l^2}[/tex]

The surface area of the square base box is,

[tex]A=2l^2+4lh[/tex]

Put the value of height,

[tex]A=2l^2+4l\dfrac{29}{l^2}\\A=2l^2+\dfrac{116}{l}\\[/tex]

Hence, the surface area of the closed box in terms of l only, which has the square base is,

[tex]2l^2+\dfrac{116}{l}\;\rm ft^2\\[/tex]

Learn more about the volume of cylinder here;

https://brainly.com/question/12748872

Answer:

40000=10x4000

Step-by-step explanation:

Answer:

4,000

Step-by-step explanation:

Just divide 40,000 by 10 and you get 4,000!

I hope this helps and have a great day!

Final Answer: [tex]3x + 12[/tex]

Steps/Reasons/Explanation:

Question: Simplify the expression [tex]5x + 6(x - 2) - 8(x - 3)[/tex].

Step 1: Expand by distributing terms.

[tex]5x + 6x - 12 - 8(x - 3)[/tex]

Step 2: Expand by distributing terms.

[tex]5x + 6x - 12 - (8x - 24)[/tex]

Step 3: Remove parentheses.

[tex]5x + 6x - 12 - 8x + 24[/tex]

Step 4: Collect like terms.

[tex](5x + 6x - 8x) + (-12 + 24)[/tex]

Step 5: Simplify.

[tex]3x + 12[/tex]

~I hope I helped you :)~

I hate math

First thing's first, PEMDAS. There's nothing to solve in the parenthesis, and there are no exponents, so use multiplication next. 6 • (x-2) and -8 • (x-3)

Your equation after should be

5x + 6x - 12 - 8x + 24

Next would be addition, don't forget it's always left to right.

11x - 12 - 8x + 24

Subtract twelve from the total (or in this case just from 24, and then add the remaining values (that are possible).

11x - 8x + 12

Next, subtract the two remaining x values.

3x + 12

And there you have it. Easy peasy.

If the case is trying to find x, just solve it like this.

3x = -12

x = 4

Answer:

Most likely C

Step-by-step explanation:

where's is the other info. If no there info is provided then its most likely c because there's an obvious relationship. If I didn't help delete my answer thx.

Answer Below

30% of 160 is 48 dollars. Meaning you would take the 48 from 160. Leaving 112.So the 30% mark up would mean you would pay $112.Saving $48.

Take the 160 dollar,and have the 40% to work with. Taking this would be $64. So 160-64 is $96. They will spend $96 on the phone in-store

Purchase online- $112

Purchase in-store-$96

The better deal is in-store

Answer:

(A) $208   (B) 224   (C) the online one. it cost less

Step-by-step explanation:

(A) find 30% of $160 and add it to 160. put that answer in dollars.

(B) find 40% of $160 and add it to 160. put that answer in dollars.

(C) it is the one that costs less

Answer:

Erin made 5.5 dozen cookies.

Step-by-step explanation:

Total cookies made by Kim, Mary and Erin = 24 dozen cookies

Let Erin make cookies = x dozens

Mary made cookies = 2x dozens

Kim made cookies = x+2 dozens

Now, we need to find how many cookies did Erin made.

We can write:

[tex]x+2x+x+2=24[/tex]

Solving the equation we get:

[tex]x+2x+x+2=24\\4x+2=24\\4x=24-2\\4x=22\\x=22/4\\x=5.5[/tex]

So, Erin made cookies = x = 5.5 dozens

Mary made cookies = 2x =2(5.5) = 11 dozens

Kim made cookies = x+2 =5.5+2 = 7 dozens

Therefore, Erin made 5.5 dozen cookies.

Answer:

The expression is: [tex]-30n + 70 = -80[/tex]

Step-by-step explanation:

Given

[tex]n = 5[/tex]

Multiply both sides by 3

[tex]3 * n = 5 * 3[/tex]

[tex]3n = 15[/tex]

Subtract both sides by 7

[tex]3n - 7 = 15 - 7[/tex]

[tex]3n - 7 = 8[/tex]

Multiply both sides by -10

[tex]-10(3n - 7) = -10*8[/tex]

[tex]-30n + 70 = -80[/tex]

To verify: Substitute 5 for n

[tex]-30 * 5 + 70 = -80[/tex]

[tex]-150 + 70 = -80[/tex]

[tex]-80 =-80[/tex] ---- Verified

Answer:

Perimeter is 60.4 + 4x

Step-by-step explanation:

12.2 + 12.2 + 4(x+9)

= 24.4 + 4x + 36

= 60.4 + 4x

Answer:

2/5 • (151 + 10x )

Step-by-step explanation:

(This is going to be a long one so i apologize in advance)

First, you need to simplify the equation you're given for this particular shape by collecting terms and calculating the sums:

12.2 + x + 9 + x + 9 + 12.2 + x + 9 + x + 9

61/5 + x + 9 + x + 9 + 61/5 + x + 9 + x + 9

122/5 + 4x + 36

2/5 • (61 + 5 • 2x + 5 • 18)

2/5 • (61 + 10x + 90)

2/5 • (151 + 10x )

Answer:

lol i cant sry

Step-by-step explanation:

Answer:

M is 126, hl and jk are both 54

Step-by-step explanation:

the opposite sides are the same angles.

126+126=252.

260-252=108.

108/2=54

Answer:

y = 0.8x – 10

This is the correct answer.

Step-by-step explanation:

Answer:

the 3rd one

Step-by-step explanation:

I had this question on edgunity

Answer:

Derrick mistakenly combined the numbers adding it together but the numbers are not the same value to be combined. You cannot add yards and ft together.

Width = 55ft

Area = 4950 sq ft

Cost = $9900

Step-by-step explanation:

Derrick mistakenly combined the numbers adding it together but the numbers are not the same value to be combined. You cannot add yards and ft together.

You have to convert the yards to ft to add it to the other ft.

1 Yard = 3 ft

So the width is  18 yards 1 ft = 54ft + 1ft = 55ft

To calculate the  area is L x W

The length is 30 yards. Convert that to ft = 90ft

So 90 x 55 = 4950 sq ft

At $2 per sq ft, you multiply the 4950 sq ft by $2

2 x 4950 = $9900

Answer:

Undetermined x=x

Step-by-step explanation:

First, you need to simplify each side by combining like terms:

(5x - 7x)(+3-4) = (2x - 4x) +1

-2x - 1 = -2x + 1 is your simplified expression.

After adding 1 to both sides, you're left with: -2x = -2x

You can divide both sides by -2, you'd get: x = x

Therefore, it's undetermined. Meaning, there are no possible solutions or there's infinite solutions. In this case, there's infinite solutions.

Answer:

y=x+2

Step-by-step explanation:

y=mx+b, m=1, x=-6, y=-4

-4=(1)(-6)+b

-4=-6+b

2=b

y=x+2

Answer: False. One counter example is when x = 10.

When x = 10, we have

7x^2 = 7*10^2 = 7*100 = 700

2^x = 2^100 = 1.27 * 10^30

The result of 2^x is much larger than 700. The result is so large that we must use scientific notation to be able to fit it on the page. We could write out all the digits, but we would need 30 or more digits.

As a visual to see that 2^x will be larger at some point, I recommend graphing y = 7x^2 and y = 2^x together on the same xy grid. See the graph below. The two curves intersect at point A, which is roughly when x = 9.22; anything beyond this x value will have 2^x be larger than 7x^2.

Answer:

$4.65

Step-by-step explanation:

To figure this out you would divide 144.15 by 31

When you divide it it gives you 4.65 which is how much each student will pay.

one student will have to pay 4.65

you have divided

31/144.15=4.65

Answer: The answer is y=2x-2

Step-by-step explanation: Slope intercept form is y=mx+b. m= the slope and b=the y-intercept (the point on the y axis that the line crosses). The slope using rise/run is -2/1 making m=2 and the point on the y axis where the line intercepts is -2.