PLZ HELP ME WITH MY MATH HOMEWORK!!! SHOW WORK!!!

Answer: (a) identity

Step-by-step explanation:

Anything multiplied by 1 will be considered an equation that is identity property.

Step-by-step explanation:

The particle is at rest when the derivative of x(t), which is its velocity, is zero, i.e.,

[tex]\dfrac{d}{dt}[x(t)] = \dot{x}(t) = 0[/tex]

Since [tex]x(t) = 2t^3 - 21t^2 + 72t - 53,[/tex] its derivative is

[tex]\dot{x}(t) = 6t^2 - 42t + 72[/tex]

Equating this to zero, we get

[tex]6t^2 - 42t + 72 = 0 \Rightarrow t^2 - 7t + 12 = 0[/tex]

This is a familiar quadratic equation whose roots are

[tex]t = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]\;\;\;= \dfrac{7 \pm \sqrt{(7)^2 - 4(1)(12)}}{2}[/tex]

[tex]\;\;\;= \dfrac{7 \pm 1}{2}[/tex]

[tex]\;\;\;= 3\;\text{and}\;4[/tex]

This means that the particle will be at rest at t = 3 and t= 4.

Answer:

No solution

Step-by-step explanation:

25x-4=5(5x+4)

Distributive Property= 25x-4=25x+20

Solve for x

-4=20

Not possible so no solution.

Answer:

A

Step-by-step explanation:

6x + 19x -4 = 5(5x+4)

6x + 19x -4 = 25x+20

6x + 19x- 25x = 20+4

Combine Like terms

0 = 20 +4

0 = 24

0 = 24 = No solution

Answer:

78.75

Step-by-step explanation:

Answer:

y-4=4(x-1)

Step-by-step explanation:

y=4x

The slope of the equation = m = 4

when x=1

y=4(1)

y=4

we get point from the equation which is (1,4)

point-slope formula = y-y₁=m(x-x₁)

*plot the the point we get and the slope in the formula above

= y-4=4(x-1)

An equation in point-slope form to find the perimeter y of a square with side length x is y-4=4(x-1).

Given that, the perimeter of a square is four times the length of one side.

The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point.

The equation of the point slope form is: (y - y1) = m(x - x1)

where, (x, y) is a random point on the line and m is the slope of the line.

The equation is y=4x

If the side length of a square is 1 centimeter, then y=4

So, the coordinate point is (1, 4)

The slope of an equation y=4x is 4

Put (x1, y1)=(1, 4) and m=4 in slope intercept form

That is, slope intercept form is y-4=4(x-1)

Therefore, an equation in point-slope form to find the perimeter y of a square with side length x is y-4=4(x-1).

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Answer:

x = -3

Step-by-step explanation:

1. 5 - x = 8

2.   +x    +x

3. 5 = x + 8

4. -8       -8

5. x = -3

Answer:

1000

Step-by-step explanation:

Answer:

100000

Step-by-step explanation:

Answer:

P.E = mgh = 120N

Step-by-step explanation:

v² = u² - 2as

At the top, the velocity is = 0

0² = 4² - 2 x 10 x s

4² = 20s

s = 16/20

s = 0.8metres.

It rose only 0.8metres.

Therefore P.E = 15 x 10 x 0.8

:. P.E = 15 * 8

:. P.E = 120N

Answer:

p/12.5 = 70/100

Step-by-step explanation:

a percent is considered out of 100

since you know the total 12.5, that will fit as the whole

Check the picture below.

Answer:

86493225

Step-by-step explanation:

Hope it helps

Answer:

0.1 foot

Step-by-step explanation:

1 inch = 0.083 foot

Formula: divide the length value by 12

So, multiply 0.083 to [tex]\frac{6}{5}[/tex]

[tex]\frac{6}{5} = 1.2[/tex]

1.2 × 0.83 = 0.996

approximatlry, 0.996 = 0.1

Therefore, [tex]\bold{\frac{6}{5}}[/tex] inches are equal to 0.1 foot.

Answer:

answer B

Step-by-step explanation:

becuase b is bad for you

Explanation:

Start by calculating the first derivative of f(x) - use the quotient rule

ddx(f(x))=[ddx(x2)]⋅(x2+3)−x2⋅ddx(x2+3)(x2+3)2

f′=2x⋅(x2+3)−x2⋅2x(x2+3)2

f′=2x3+6x−2x3(x2+3)2=6x(x2+3)2❤

C

Step-by-step explanation:

This has a U like shape so it a parabola.

Parabola correlate with quadratic functions

[tex]y = {ax}^{2} + bx + c[/tex]

Since it Going down, the answer is C -x^2.

The function whose graph is given is g(x) = -x²

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given that a graph, we need to find its function,

Since, the graph is a curve opened downwards, so it is a parabola, opened downwards,

The equation of the parabola is given by y = ax²+bx+c

Therefore, out of the given options we can say that the function is y = x²

Hence the function whose graph is given is g(x) = -x²

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[tex] \sf= \frac{100}{100 + 25} \times 4000 \\ = \frac{100}{125} \times 4000 \\ = \frac{4}{5} \times 4000 \\ = 4 \times 800 \\ = 3200[/tex]

[tex] \huge \sf \: Answer[/tex]

The cost price is 3200.

Hope you could get an idea from here

Doubt clarification- use comment section.

Answer:

C

Step-by-step explanation:

multiply through by 10

10{4.8(x-4)} = 10(-0.2x) + 10(15.8)

48(x-4) = -2x + 158

48x - 192 = -2x +158

48x + 2x = 158 + 192

50x = 350

divide through by 50

x=350/50

x=7

therefore, answer = C

Answer:

0.50

Step-by-step explanation:

Answer:

The perimeter of a circle is calculated with 2πr

The r stands for radius. The radius is half of the diameter.

So r=2.25

Plug it in 2π(2.25)

It was simplify to 4.5π

Which would simplify down to 14.14 miles rounding to the nearest hundredth.

Answer:

69 years

Step-by-step explanation:

Sum of Alex's and Ben's current age

= 14 +17

= 31 years

For every year, Alex and Ben will each be one year older. Thus, 2 years would be added to the sum of their ages with each passing year.

Difference in the sum of their ages

= 169 -31

= 138 years

Number of sets of 2 years

= 138 ÷2

= 69

Thus, the sum of their ages will be 169 in 69 years.

The survey was intended for Bill's middle school during the summer. The

survey was administered to students of other schools on a Saturday.

Reasons:

The type of error made is a non sampling error, given that the target of the

study is the number of times in a week students at his middle school

attend the beach during the summer.

The errors are; Selection bias error.

The selection bias error is a type error that is due to the researcher

chooses what to study, such that the participant have common

characteristics rather than being random.

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The number of surveyed nurses that were health club members or were smokers is 316.

If 245 of the health club members were smokers, then n(HnS) = 245 members.

The number of surveyed nurses that were health club members or were smokers = 600 - [(427 - 325) + (427-245)].

The number of surveyed nurses that were health club members or were smokers = 600 - (102+182) = 600 - 284.

The number of surveyed nurses that were health club members or were smokers is 316.

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Answer:

1.5 ft^2

Step-by-step explanation:

Since the length is divided into 4 parts,

Length of a small square = 2/4

= 0.5 ft

Hence,

Area of 1 small square = (0.5)(0.5)

= 0.25 ft^2

Area of shaded portion = Area of 6 small squares

= 6(0.25)

= 1.5 ft^2

Step-by-step explanation:

The area of the shaded cubes is 3 square feet.

A square is a two-dimensional figure that has four sides and all four sides are equal.

The area of a square is given side²

We have,

Since the 2 ft-by-2 ft square is divided into 16 smaller squares, each smaller square has an area of:

(2/4)ft = 0.5ft.

Now,

Out of the 16 smaller squares, 6 smaller cubes are shaded.

Since each smaller cube occupies the space of one of the smaller squares, the total area of the shaded cubes is 6 times the area of one of the smaller squares.

The area of the shaded cubes is:

6 x 0.5ft² = 3ft²

Thus,

The area of the shaded cubes is 3 square feet.

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It would cost an employee $443.52 to purchase one of these laptops at the sale.

The selling price of the laptops is $720 each. The cost price is 20 percent more than the cost price.

Cost price = Selling price - 20% of cost price

Cost price = 720 - 20% * 720 = $576

At the release, the laptops are at 23% off the store's cost. Hence:

Price of laptop at release = 576 - 23% of 576

Price of laptop at release = $443.52

It would cost an employee $443.52 to purchase one of these laptops at the sale.

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Answer:3x⁵

Step-by-step explanation: is equivalent to 3x⁵

Answer:

18

Step-by-step explanation:

1/2 bh

1/2 (6)(6) multiply

1/2 (36) divide

18

Answer:

Step-by-step explanation:

The problem statement is not clear regarding which money is invested. We will assume it is the 80% of $8750 that is set aside for future education. That amount is

... 0.80 × $8750 = $7000

If x represents the amount invested at 7%, then the total interest earned is

... (7000 -x)×4% + (x)×7% = 420

... 280 +0.03x = 420

... x = 140/0.03 ≈ 4666.67

$4666.67 was invested at 7%.

$2333.33 was invested at 4%.

Answer:

more info??? bc that doesn't make sense i guess

Answer:

(-6,-4)

Step-by-step explanation:

Rule for reflection over the y axis (x,y) -----> (-x,y)

Explanation of rule : change the sign of the x value and keep the y value the same.

Applying rule to given coordinate

(6,-4) -----> change the sign of 6 to get -6 and keep -4 as it is -----> (-6,-4)

Refer to the attached image for more validation. Note that x=0 is the y axis