The position of the particle as a function of time is given by x(t) = e-(t - 3)2, where x is in meters and t is in seconds. What is the velocity of the particle, in meters per second, at t = 2.5 s?

Answer: -18 ==> C

Step-by-step explanation:

x = −3 and y = −6

3x + 4y + 15=

3(-3) + 4(-6) + 15=

-9 + (-24) + 15 =

-9-24+15=

-(9+24)+15=

-33+15=

-(33-15)=-18 ==> C

Answer:

c) -18

Step-by-step explanation:

Given that,

→ x = -3

→ y = -6

Let's solve the problem,

→ 3x + 4y + 15

→ (3 × -3) + (4 × -6) + 15

→ -9 - 24 + 15 = -18

Thus, the solution is -18.

Answer:

18 cm Is the Answer To your Question

According to the formula speed = distance / time The rate in miles per hour is 4.54

If you know how far something has traveled and how long it took to get there, you can calculate its average speed. Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed.

Rachel jogs 20 feet in 3 seconds

then by the formula

speed = distance/time

speed = 20 feet / 3 seconds

speed = 6.666667 feet per hour

but this speed is in feet per seconds to convert the speed from feet per seconds to miles per hour we need to multiply by 0.681818,

speed = 6.66667*0.681818

speed = 4.5454 miles per hour

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Answer: 97. -10<n<8

99. g>=7 or g<0

101. x<5 or x>=6

Step-by-step explanation:

97. -1<9+n<17

-1-9<9-9+n<17-9

-(1+9)<n<17-9

-10<n<8

99. g+5>=12

g+5-5>=12-5

g>=7

g/9 < 0

g<0

g>=7 or g<0

101.

2x<10

x<5

x/2 >=3

x>=6

x<5 or x>=6

Answer:

the answer is

Step-by-step explanation:

So 12 more than N would be 12 + N.

Answer:

b) 12 + n

Step-by-step explanation:

The statement is,

→ 12 more than a number.

Now equation will be,

→ 12 + n

≈ (or) n + 12

So, option (b) is correct.

Answer:

ano yan ang tanong mo

Step-by-step explanation:

ano yan

the answer is 60020 I am not sure if it is correct

Answer:

Distributive Property

Step-by-step explanation:

Example of distributive property is: 5 (4 + 7) = 5 × 4 + 5 × 7

Answer:

×7

Step-by-step explanation:

[tex]84 \div 12 = 7[/tex]

Answer:

y=x+3

Step-by-step explanation:

Answer:

1) [tex]|x-2| = 8[/tex]

2) [tex]|x+7.5|=2.5[/tex]

Step-by-step explanation:

Answer:

Interest = $63

Balance = $2,063

Step-by-step explanation:

Compound Interest Formula

[tex]\boxed{\sf I=P\left(1+\frac{r}{n}\right)^{nt} -P}[/tex]

where:

Given:

Substitute the given values into the formula and solve for I:

[tex]\implies \sf I=9000\left(1+\dfrac{0.014}{2}\right)^{2 \times 0.5}-9000[/tex]

[tex]\implies \sf I=9000\left(1+0.007\right)^{1}-9000[/tex]

[tex]\implies \sf I=9000\left(1.007\right)-9000[/tex]

[tex]\implies \sf I=9063-9000[/tex]

[tex]\implies \sf I=63[/tex]

Therefore, the account earns $63 interest in the first six months.

The balance after six months is $2,063.

Answer:

43xgfsstib dhibfdhbkfvh

Answer: U'=(8, 5)

V'=(7, 5)

W'=(6, 10)

Step-by-step explanation:

When rotated around the origin by 180 degrees, the triangle will have all its coordinates' x and y values negated.

U=(-8, -5) ==> U'=(8, 5)

V=(-7, -5) ==> V'=(7, 5)

U=(-6, -10) ==> W'=(6, 10)

Answer:

0=y

Step-by-step explanation:

Answer: -3

Step-by-step explanation:

The y-intercept is the place where the line crosses the y-axis, the vertical line in the middle of the graph.

The Integers which corresponds to the word phrase as given in the task content is; Choice B; The integers less than 28.

It follows from the task content that the word phrase which is as given in the task content is to be determined.

It is noteworthy to understand the meaning of various signs as follows;

Hence, since the word phrase; fewer than 28 people represents integers less than 28.

Ultimately, by virtue of the inequality signs and what they represent, fewer than 28 people represents integers less than 28.

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Answer: 48 red beads

Step-by-step explanation:

3 red beads: 1 bracelet

16 bracelets * 3 read beads/1 bracelet=

16*3/1=

16*3=48 red beads

The quadratic equation whose roots are -6 and -1 with leading coefficient 1 is [tex]x^{2} +7x+6=0[/tex].

Given that a Quadratic equation whose roots are -6 and -1 with leading coefficient is 1 and asked to find the equation of quadratic equation.

Quadratic equation:

The polynomial equations of degree two in one variable of form f(x) = a[tex]x^{2}[/tex] + bx + c = 0 and with a, b, c, ∈ R and a ≠0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" is for the absolute term of f(x).

For a quadratic equation if (a,b) are roots then,

(x-a)(x-b) is the quadratic equation having roots "a" and "b"

The equation with roots -6 and -1 is
⇒(x+6)(x+1)

⇒[tex]x^{2}[/tex]+7x+6

Threfore,The quadratic equation whose roots are -6 and -1 with leading coefficient 1 is [tex]x^{2} +7x+6=0[/tex].

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Answer:

Step-by-step explanation:

[tex]m[/tex]∠[tex]CAD[/tex]≅[tex]m[/tex]∠[tex]BAD[/tex]

and

[tex]m[/tex]∠[tex]CAB[/tex]=[tex]m[/tex]∠[tex]CAD[/tex]+[tex]m[/tex]∠[tex]BAD[/tex]

so

[tex]m[/tex]∠[tex]CAB[/tex][tex]= 29[/tex]°+[tex]29[/tex]°

[tex]m[/tex]∠[tex]CAB=58[/tex]°


Hope this helps!

Step-by-step explanation:

the graphic shows that the angle at A is split in half by the line AD (because the angles at both sides of the line are marked as equal, so the whole angle must be 2 times of one of these parts).

so, as CAD = 29°, CAB = 2×CAD = 2×29 = 58°

Answer i dont get it

Step-by-step explanation:

The Sum of the given numbers is 30.80.

SUM:

Rounding off to nearest tenth = 7 + 1 = 30.80

Therefore, the Sum of the given numbers is 30.80.

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Answer:

angle 1 = 51

angle 2 = 39

Step-by-step explanation:

The sum of two angles is equal to 90° since they are complementary angles

angle 1 + angle 2 = 90° rewrite equation using given values

x + 38 + 3x = 90 add like terms

4x + 38 = 90 subtract 38 from both sides

4x = 52 divide both sides by 4

x = 13 now to find the measure of each angle replace x with 13

angle 1 = 51

angle 2 = 39

Answer:

x = 18

Step-by-step explanation:

x/6  - 7 = -4

x/6 = -4 + 7

x/6 = 3

x = 6*3

x = 18

Check:

18/6  - 7 = -4

3 - 7 = -4

Answer:

Hello,

Step-by-step explanation:

[tex]1) \ 4,7,10,13,16,....\\u_n=4+(n-1)*3=1+3n\\\\2)\ -10,-6,-2,2,6....\\u_n=-10+(n-1)*4=-14+4n\\\\3)\ \frac{6}{3} ,\frac{7}{3} ,\frac{8}{3} ,\frac{9}{3} ,\frac{10}{3} ...\\\\u_n=\frac{6}{3} +(n-1)*\frac{1}{3} =\frac{5}{3} +\frac{n}{3} \\[/tex]

The equivalent expression of  the expression given as: -5 × 1/4 × 3 is -15/4

The expression is given as:

-5 × 1/4 × 3

Multiply -5 and 1/4

So, we have:

-5 × 1/4 × 3 = -5/4 × 3

Multiply -5/4 and 3

So, we have:

-5 × 1/4 × 3 = -15/4

Hence, the equivalent expression of  the expression given as: -5 × 1/4 × 3 is -15/4

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Step-by-step explanation:

that means that there is one scale factor for all sides of the triangles.

so,

2 × f = 14

f = 14/2 = 7

and to control, this has to work also for the other given side :

3 × 7 = 21

correct.

so, the scaling factor to get from E to F is 7.

The weekly gross pay will be $2732.80.

Based on the information, the extra hours that was spent will be:

= 48 - 40 = 8 hours

Therefore, the gross pay will be;

= ($17.08 × 40) + (8 × $17.08 × 1.5)

= $683.20 + $2049.6

= $2732.80

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Answer:

$92.35

Step-by-step explanation:

Subtract 46,453 from 51,255 to get 4,802.  Now divide that result by 52 to get 92.346.  Round that to the nearest cent to get 92.35.

Answer:

1 < x < 7

Step-by-step explanation:

Hello!

There are two cases for this equation:

Solve for x in each case.

The solution set is 1 < x < 7.

The equation shows that the slope of the line is 3 and the y-intercept is 4 that is the line will pass through the point (0, 4)

The standard linear equation is expressed as y = mx + b where;

m is the slope

b is the y-intercept

Given the linear equation (y-1) = 3(x+3)

Expand

y-1 = 3x + 3

y-3x = 3 + 1

y-3x = 4

y = 3x + 4

The equation shows that the slope of the line is 3 and the y-intercept is 4 that is the line will pass through the point (0, 4)

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The polynomial of 3rd degree whose zeros and degree are given as for zero of (-2), multiplicity 1 and for zero of (3), multiplicity 2 is [tex]f(x)=(x^{3}-10x^{2} -15x+18)[/tex]

As per the question statement, a 3rd degree polynomial has a zero of (-2), multiplicity 1 and another zero of (3), multiplicity 2.

We are required to determine the polynomial.

Since, (-2) is a zero of the polynomial, then [tex][x-(-2)]=(x+2)[/tex] will be a factor of the polynomial. And since for zero of (-2), multiplicity is 1, this means that the factor of (x + 2) is only multiplied once.

Similarly, as (3) is another zero of the polynomial, then [tex](x-3)[/tex] will be a factor of the polynomial. And since for zero of (3), multiplicity is 2, this means that the factor of (x - 3) will be multiplied twice, i.e., [tex](x-3)^{2}[/tex].

Therefore, our function, say, f(x) will be [tex](x+2)(x-3)^2[/tex]

[tex]or, f(x) = (x+2)(x-3)^2\\or, f(x) = (x + 2)(x^{2} +9-12x)\\or,f(x) =x^{3}+9x-12x^{2} +2x^{2} +18-24x\\ or, f(x)=x^{3}+(2x^{2}-12x^{2})+(9x-24x)+18\\or, f(x)=(x^{3}-10x^{2} -15x+18)[/tex]

Hence, our required polynomial is [tex]f(x)=(x^{3}-10x^{2} -15x+18)[/tex]

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