Had three thfk DJ back finding

The particle's acceleration a increases at a constant rate, so that its average rate of change is equal to its instantaneous rate of change, which is equal to

(4 ft/s² - 1 ft/s²) / (1 s) = 3 ft/s³

The particles starts with acceleration a (0) = 1 ft/s², so we can determine its acceleration at time t by the fundamental theorem of calculus:

a(t) = a (0) + ∫₀ᵗ (3 ft/s³) du

a(t) = 1 ft/s² + (3 ft/s³) t

It also starts from rest, so with initial velocity v (0) = 0. Integrating again gives us the velocity function,

v(t) = v (0) + ∫₀ᵗ a(u) du

v(t) = ∫₀ᵗ (1 ft/s² + (3 ft/s³) u) du

v(t) = (1 ft/s²) t + 1/2 (3 ft/s³) t ²

Taking the particle's initial position to be x (0) = 0, compute the integral again to determine the distance it travels in 1 s:

x(t) = x (0) + ∫₀ᵗ v(u) du

x(t) = ∫₀ᵗ ((1 ft/s²) u + 1/2 (3 ft/s³) u ²) du

x(t) = 1/2 (1 ft/s²) t ² + 1/6 (3 ft/s³) t ³

→   x (1 s) = 1/2 (1 ft/s²) (1 s)² + 1/6 (3 ft/s³) (1 s)³ = 1 ft

Answer:

[tex]\huge\boxed{\boxed{x=-10}}[/tex]

Step-by-step explanation:

Hello.

The Distributive Property states that

a(b+c)=ab+ac

Simplify:

-1(4+x)=6

-4-x=6

Add 4 to both sides:

-4+4-x=6+4

-x=10

Divide both sides by -1 in order to get rid of the minus sign:

x=-10

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

Answer:

6 ONES

Step-by-step explanation:

Answer:

6 ones

Step-by-step explanation:

The standard error of the sampling distribution is given as follows:

B. 0.054.

By the Central Limit Theorem, for a proportion p in a sample of size n, the standard error of the sampling distribution of sample proportions is given as follows:

[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

The parameter values for this problem are given as follows:

p = 0.2, n = 55.

Hence the standard error is given as follows:

[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

[tex]s = \sqrt{\frac{0.2(0.8)}{55}}[/tex]

s = 0.054.

Meaning that the correct option is given by option B.

More can be learned about the Central Limit Theorem at https://brainly.com/question/25800303

#SPJ1

Answer:

A) 5+3p ≥ 30

Step-by-step explanation:

The 5+3p has to be greater than 30 to move on to the next round. The student scored 5 points in the first round and since the other 3 rounds he scored the same amount of points, your equation would be 5+3p ≥ 30 :)

If you were to solve this, you would subtract 5 from both sides to find that 3p≥ 25. Divide 25 by 3 to find out that Steward needed to score at least 9 points in each of rounds 2,3, and 4, so a possible solution could be that he earned 5 points in round 1, 9 in round 2, 9 in round 3, and 9 in round 4 for a total of 32, which is enough to qualify for the final round :)

Answer:

Option A: Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + x + 1

Step-by-step explanation:

1) The axis of symmetry of quadratic graph is the vertical line that divides the graph curve into two congruent halves. In this case, it is: x = -0.5

2) Vertex is the point at which the graph curve changes direction or simply coordinates of the crest or trough of the curve.

The graph given has a trough with the coordinates: x = -0.5, y = 0.75. This is (-0.5, 0.75)

3) The roots of a quadratic equation are the points where the curve crosses the x-axis. In this case, it doesn't cross and so we have imaginary roots.

Now, formula for line of symmetry is; x = -b/2a

Thus; -b/2a = -0.5 or -b/2a = -1/2

Thus, b = 1 and a = 1

Our first and second terms will now be;

x² + x

Looking at the options, the only one with x² + x as it's first 2 terms is option A.

Thus, the complete equation will be x² + x + 1

Step-by-step explanation:

provide more details, please

Answer:

I think it should be zero

Answer:

2

Step-by-step explanation:

Answer:

6 because the pattern on the 3 rows is remove 1 on each of the starting and end point of the pattern, therefore, 6 for the 4th row, 4 for the 5th row 2 for the last row

Step-by-step explanation:

yan na po yung answer .....................................

Answer:

is it a division or addition

Step-by-step explanation:

for me the answer is 786

Answer:

Sorry i don't know what's the actual answer, but you can use Desmos app for graphing, hope that helps

Answer:

there you go if you want mark brainlest if not its okay with me

Step-by-step explanation:

Answer:

[tex]\displaystyle \frac{118}{125}[/tex]

Step-by-step explanation:

Trigonometry

Calculate

[tex]\sin (3\sin^{-1}(2/5))[/tex]

We use the formula for the sine of triple angle:

[tex]\sin 3x=3\sin x-4\sin^3 x[/tex]

And recall:

[tex]\sin \sin^{-1}x=x[/tex]

For this problem, we set:

[tex]x=\sin^{-1}(2/5)[/tex]

Thus:

[tex]\sin 3x=3\sin (\sin^{-1}(2/5))-4\sin^3 (\sin^{-1}(2/5))[/tex]

[tex]\displaystyle \sin 3x=3*\frac{2}{5}-4\left(\frac{2}{5}\right)^3[/tex]

[tex]\displaystyle \sin 3x=\frac{6}{5}-4*\frac{8}{125}[/tex]

[tex]\displaystyle \sin 3x=\frac{6}{5}-\frac{32}{125}[/tex]

[tex]\displaystyle \sin 3x=\frac{6*25}{125}-\frac{32}{125}[/tex]

[tex]\displaystyle \sin 3x=\frac{150-32}{125}[/tex]

[tex]\mathbf{\displaystyle \sin 3x=\frac{118}{125}}[/tex]

Answer:

d

Step-by-step explanation:

Answer:

the answer is D i think.

Answer:

The slope of the first graph is [tex]\frac{2}{3}[/tex] and the slope of the second graph is [tex]\frac{4}{2} = 2[/tex]

Step-by-step explanation:

First Graph

1. use rise over run to find the slope

2. the line goes up 2 numbers before it touches again

3. the line goes ever 3 numbers before it touches again

Second Graph

1. use rise over run to find the slope

2. the line goes up 4 numbers before touching again

3. the line goes over 2 numbers before touching again

Answer:

4

Step-by-step explanation:

Answer:

Approximately [tex]101\; \rm ft[/tex] (assuming that the height of the base of the hill is the same as that of the observer.)

Step-by-step explanation:

Refer to the diagram attached.

Angles:

Let the length of segment [tex]\rm BR[/tex] (vertical distance between the base of the tree and the base of the hill) be [tex]x\; \rm ft[/tex].

The question is asking for the length of segment [tex]\rm AB[/tex]. Notice that the length of this segment is [tex]\mathrm{AB} = (x + 20)\; \rm ft[/tex].

The length of segment [tex]\rm OB[/tex] could be represented in two ways:

For example, in right triangle [tex]\rm \triangle OBR[/tex], the length of the side opposite to [tex]\angle \rm B\hat{O}R = 51^\circ[/tex] is segment [tex]\rm BR[/tex]. The length of that segment is [tex]x\; \rm ft[/tex].

[tex]\begin{aligned}\tan{\left(\angle\mathrm{B\hat{O}R}\right)} = \frac{\,\rm {BR}\,}{\,\rm {OB}\,} \; \genfrac{}{}{0em}{}{\leftarrow \text{opposite}}{\leftarrow \text{adjacent}}\end{aligned}[/tex].

Rearrange to find an expression for the length of [tex]\rm OB[/tex] (in [tex]\rm ft[/tex]) in terms of [tex]x[/tex]:

[tex]\begin{aligned}\mathrm{OB} &= \frac{\mathrm{BR}}{\tan{\left(\angle\mathrm{B\hat{O}R}\right)}} \\ &= \frac{x}{\tan\left(51^\circ\right)}\approx 0.810\, x\end{aligned}[/tex].

Similarly, in right triangle [tex]\rm \triangle OBA[/tex]:

[tex]\begin{aligned}\mathrm{OB} &= \frac{\mathrm{AB}}{\tan{\left(\angle\mathrm{B\hat{O}A}\right)}} \\ &= \frac{x + 20}{\tan\left(57^\circ\right)}\approx 0.649\, (x + 20)\end{aligned}[/tex].

Equate the right-hand side of these two equations:

[tex]0.810\, x \approx 0.649\, (x + 20)[/tex].

Solve for [tex]x[/tex]:

[tex]x \approx 81\; \rm ft[/tex].

Hence, the height of the top of this tree relative to the base of the hill would be [tex](x + 20)\; {\rm ft}\approx 101\; \rm ft[/tex].

Answer:

We conclude that the average number of pages that Sarah reads per hour will be: 10.75 page per hour

Step-by-step explanation:

Given

The average number of pages per hour can be calculated by simply dividing the total number of pages i.e. 64.5 pages by the number of hours spent on reading i.e. 6 hours.

Thus,

Average number of pages per hour = 64.5 pages / 6 hours

                                                            = 10.75 page per hour

Therefore, we conclude that the average number of pages that Sarah reads per hour will be: 10.75 page per hour

Answer

a · b= the square root of b(5i + 4j - k) divided by b

Answer:

2,3,5,7,11,13

Step-by-step explanation:

the prime divisors of 10 are 2 and 5.

while the first six prime numbers are 2,3,5,7,11,13

Answer:

27:2

Step-by-step explanation:

Answer:

Step-by-step explanation:

question one: his mom will pay $2.1 in taxes

thats all i can answer

Answer:

The length of 'x' is 4

Step-by-step explanation:

We can use the pythagorean theorem to solve this.

The pythagorean theorem is:

[tex]a ^{2} + b^{2} = {c}^{2} [/tex]

[tex]a ^{2} + b^{2} = c^{2} \\ {3}^{2} + {b}^{2} = 5^{2} \\ 9 + {b}^{2} = 25 \\ \frac{ - 9 \: \: \: \: \: \: \: \: = - 9}{b ^{2} = \sqrt{16} } \\ b = 4[/tex]

Therefore x = 4

Answer:

The answer is 2/3

Step-by-step explanation:

2/3 = 0.6666666666... with it repeating forever

Answer:

2/3

Step-by-step explanation:

The answer you selected is correct.

The decimal form of 2/3 is 0.66666666 (it repeats forever), unlike the other three:

3/4 = 0.75

4/5= 0.80

7/8= 0.875

Answer: x + 16y

Step-by-step explanation:

multiply 4 to x+ 2y

4x + 8y - 3x + 8y (open the bracket)

x + 16y

Answer:

x+16y

Step-by-step explanation:

4(x+2y)-(3x-8y)

we open the brackets and the sign of the second bracket changes

4x+8y-3x+8y

we group x's and y's

x+16y

Answer:

It would be $ for 2 other planes of glass because if you take 7 divided by 7 to get 1 pane of glass you have to divide 16.45 by 7 to get how much it costs for 1 pane of glass. So for 1 pane of glass, it is $2.35 then lastly you can either add 2.35 and 2.35 to get $4.70 or take 2.35 times 2 to get your total. So it will cost $4.70 to get 2 panes of glass.

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

I believe the answer is 6.

Step-by-step explanation:

Answer:

Next plug the y into the second equation to solve for x

Now we know x and we can plug into the original equation (1)

Rate brainlist and drop a follow for future help

Answer:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    6*x-6*y-(18)=0  

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  6x - 6y - 18  =   6 • (x - y - 3)  

Equation at the end of step

1

:

STEP

2

:

Equations which are never true:

2.1      Solve :    6   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2     Solve   x-y-3  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

Step-by-step explanation:

x= 1 y= 1

hope am right if i am, pls brainliest