Answers and step by step explanations please?(Just one example)​

-0.2

'0

-0.2 = - .2 = - 2/10 = - 1/5

so

answer is -1/5

Answer:

-0.2 = -1/5

Step-by-step explanation:

you have to turn the decimal to a fraction.

0.2/1

multiply 0.2/1 by 10/10 which is 2/10

Since the GCF is 2...

You want to divide 2/10 by 2/2

that is 1/5

Now add the negative number sign

BOOM

Now you got yourself -1/5

I hope I helped! :)

Answer:

Step-by-step explanation‎:

Answer: It would be the second one.

Step-by-step explanation:

Inverse means opposite.

Answer:

Option D

Step-by-step explanation:

This is an example of a two by two matrix. To determine if the inverse of R even exists, take the determinant of the matrix, as such -

( 0 * 3 ) - ( 0 * 4 ) = 0 * 0 = 0

As you can see, the determinant is 0, and if so, the inverse of R doesn't exist. Thus, \(R^-\) doesn't exist, as it is present as the inverse of R,

Solution = Option D

Sets of values that could be the intensities of Amber’s exercise during the fourth, fifth, and sixth visits are -

66%, 69%, 72%

63%, 65%, 67%

What is intensity?

In physics, the power transferred per unit area is known as the intensity or flux of radiant energy, where the area is measured on a plane perpendicular to the direction of the energy's propagation.

The program recommends a pattern of constant intensity for 3 visits, increasing intensity over 3 visits, and then decreasing intensity for 3 visits before restarting the pattern.

Let's call the starting intensity level "x".

Then the intensity levels for the first 3 visits are all equal to x, the intensity levels for the next 3 visits are increasing, and the intensity levels for the following 3 visits are decreasing.

To determine which sets of values could be the intensities of Amber's exercise during the fourth, fifth, and sixth visits, we need to follow the pattern.

If the intensity level for the first 3 visits is x, then the intensity levels for the next 3 visits are x plus some value y, and the intensity levels for the following 3 visits are x plus some value z, where y and z are positive.

If we assume that the initial intensity level x is some value between 60% and 70%, then we can eliminate the last option of 67%, 72%, and 77% because the initial intensity level is too high.

Now let's check the remaining options -

63%, 63%, 63%: This set of values corresponds to a pattern of constant intensity for all 9 visits, which is not consistent with the program's recommendation.

Therefore, this option is not valid.

66%, 69%, 72%: This set of values corresponds to a pattern of increasing intensity over 3 visits, which is consistent with the program's recommendation.

Therefore, this option is valid.

66%, 62%, 58%: This set of values corresponds to a pattern of decreasing intensity over 3 visits, which is not consistent with the program's recommendation.

Therefore, this option is not valid.

63%, 65%, 67%: This set of values corresponds to a pattern of increasing intensity followed by decreasing intensity, which is consistent with the program's recommendation.

Therefore, this option is valid.

Therefore, there are only two valid options -

66%, 69%, 72%

63%, 65%, 67%

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why are there two of these?
Answer:

53.9

Step-by-step explanation:

89% of all houses have garages and 48% have garages and pools. We try to find houses with a pool that have a garage. Let's assume that there are 100 houses in her neighborhood. then 89 of them have garages and 48 of them have garages and pools. 48 / 89 = about 0.5393. Conver this to percent and we get 53.9

x^2 + y^2 = 12.25

The above equation is the equation for a circle. The formula for the equation of a circle is (x - h)^2 + (y - k)^2 = r^2.

Looking at the given equation, x and y, otherwise known as the center, are not shifted at all. This mean that the center of our circle is at (0,0).

To find the radius, we take the square root of 12.25, which is 3.5. Therefore, go 3.5 units up, down, left, and right (to make a + sort of shape) from the center and then connect the points to make the circle.

Hope this helps!! :)

Answer:

Step-by-step explanation:

The graph of x^2 + y^2 = 12.25 will be a circle with centre at (0, 0) and radius will be √12.25 = 3.5.

2x + y = 1  is a straight line

y = -2x + 1 so it will pass through the y axis at y = 1 and also through the point

(-1/2, 0).

Where the line passes through the circle will be the solutions to the system.

Answer:

\( \displaystyle{ {f}^{ - 1} (x) = {(x - 4)}^{3} + 1}\)

Step-by-step explanation:

Let y = f(x)

\( \displaystyle{y = \sqrt[3]{x - 1} + 4}\)

Finding an inverse, swap x and y

\( \displaystyle{x = \sqrt[3]{y- 1} + 4}\)

Then solve for y, first subtract 4 both sides

\( \displaystyle{ x - 4= \sqrt[3]{y- 1} + 4 - 4} \\ \\ \displaystyle{ x - 4= \sqrt[3]{y- 1} }\)

Cube both sides

\( \displaystyle{ {(x - 4)}^{3} = \left(\sqrt[3]{y- 1} \right)^{3} } \\ \\ \displaystyle{ {(x - 4)}^{3} = y - 1}\)

Add both sides by 1

\( \displaystyle{ {(x - 4)}^{3} + 1 = y - 1 + 1} \\ \\ \displaystyle{ {(x - 4)}^{3} + 1 = y}\)

The final y is the inverse. Hence:

\( \displaystyle{ {f}^{ - 1} (x) = {(x - 4)}^{3} + 1}\)

Answer:

2. C. 50.3 ft²

3. A. 75.4 ft²

Step-by-step explanation:

The lateral surface area of a cylinder is the area of the curved surface of the cylinder. It is calculated by multiplying the circumference of the base by the height of the cylinder. The formula for the lateral surface area of a cylinder is:

Lateral Surface Area = 2πrh

Where:

The total surface area of a cylinder is the area of the lateral surface plus the area of the two circular bases. The formula for the total surface area of a cylinder is:

Total Surface Area = 2πrh + 2πr^2

Where:

2.

r=2 ft

h=4 ft

Lateral Surface Area = 2πrh=2*22/7*2*4=50.3 ft²

3.

Total Surface Area = 2πrh + 2πr^2=2*22/7*2*4+2*22/7*2

=50.3+25.1=75.4 ft²

Answer:

30,000

Step-by-step explanation:

If she gets all 50 at 600 per month, 50x600 is 30,000.

I hope this helped!

Answer:

16.48%

Step-by-step explanation:

6 democrates

3 republicans

5 independents

Total number: 6+3+5=14

Probability of selecting an independent:

#of independents/ Total number

5/14= 0.3571

Probability of selecting a democrat:

# of democrats/ Total number-1

6/13= 0.4615

Probability of independent then democrat:

0.3571x0.4615=0.1648

0.1648x100= 16.48%

Answer: False

Step-by-step explanation: Changing the number does affect the relationship if you switch it you might get greater than 0 or less than 0 if yo u switch them.

Hopes this helps :)

Answer:

the sum of 17+36 =53

Step-by-step explanation:

cause, when we add 17+36 ,we should first add the numbers in the ones place ( 7+6=13).second add the numbers in the tens place(1+3=4).So lastly add every thing and you will have the sum.(13+40=53)

Answer:

x=-1/4 or -.25

Step-by-step explanation:

I took the test and double checked it

The equations of the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

From the question, we have the following equations that can be used in our computation:

h(x) = x² + 3

f(x) = 3/4x

From the above, we have

(h o h)(x) = h(h(x))

So, we have

(h o h)(x) = (x² + 3)² + 3

Also, we have

(f o f)(x) = 3/[4(3/4x)]

Evaluate

(f o f)(x) = x

Hence, the composite functions are (h o h)(x) = (x² + 3)² + 3 and (f o f)(x) = x

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Answer:

16

Step-by-step explanation:

5x / -6 = -40 / 3

Cross multiply

5x * 3 = -6 * -40

15x = 240

x = 16

Answer:

The value of x is 16.

Step-by-step explanation:

\(\star{\tt{\underline{\underline{\purple{CONCEPT : -}}}}}\)

Here, we will use the below following steps to find a solution using the transposition method:

\(\star{\tt{\underline{\underline{\pink{SOLUTION : -}}}}}\)

Solve for X.

\(\implies{\sf{\dfrac{5x}{ - 6} = \dfrac{ - 40}{3}}}\)

Enter your answer is the box.

\(\begin{gathered}\qquad{\dashrightarrow{\sf{\dfrac{5x}{ - 6} = \dfrac{ - 40}{3}}}}\\\\\qquad{\dashrightarrow{\sf{5x \times 3 = - 40 \times - 6}}}\\\\\qquad{\dashrightarrow{\sf{15x = 240}}}\\\\\qquad{\dashrightarrow{\sf{x = \dfrac{240}{15}}}}\\\\\qquad{\dashrightarrow{\sf{x = \cancel{\dfrac{240}{15}}}}}\\\\\qquad{\dashrightarrow{\sf{x = 16}}}\\\\\qquad\star{\underline{\boxed{\sf{\red{x = 16}}}}}\end{gathered}\)

Hence, the value of x is 16.

\(\rule{300}{2.5}\)

Answer:

d. 674,800

Step-by-step explanation:

1 dekagram is equal to 1,000 centigrams so I multiplied 674.8 by 1000

Hope this helps, have a great day:)

Answer:

The answer is 674800 centigrams

Step-by-step explanation:

How many dekagram in 1 centigram? The answer is 0.001.

I assume you are converting between dekagram and centigram.

You can view more details on each measurement unit:

dekagram or centigram

The SI base unit for mass is the kilogram.

1 kilogram is equal to 100 dekagram, or 100000 centigram.

Note that rounding errors may occur, so always check the results.

Use this page to learn how to convert between dekagrams and centigrams.

Type in your own numbers in the form to convert the units! Hope this helps!

Answer:

14.90 to 16.70 tons

Step-by-step explanation:

We are given;

Sample size; n = 49

Mean; x¯ = 15.8

Sample standard deviation; s = 3.85

At 90% Confidence interval, z = 1.645

Formula for confidence interval is;

CI = x¯ ± z(s/√n)

Thus;

CI = 15.8 ± 1.645(3.85/√49)

CI = 15.8 ± 0.90

CI = 14.90 to 16.70 tons

a) The rule that represents the height as a function of the number of bounces is described by H(n) = 1.5 · (71 / 100)ˣ⁻¹. (Correct choice: B)

b) The height at the top of the sixth path is equal to 0.27 meters. (Correct choice: B)

In this problem we need to derive the equation that represents maximum height as a function of the number of bounces:

H(n) = a · (r / 100)ˣ⁻¹

Where:

If we know that a = 1.5 m and r = 71, then the rule for the sequence is:

H(n) = 1.5 · (71 / 100)ˣ⁻¹

And the height at the top of the sixth path:

H(6) = 1.5 · (71 / 100)⁶⁻¹

H(6) = 0.27 m

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a. The areas of the square is 81m² and for rectangle is 72m²

b. The perimeter of the square is 40m

a. To determine the area of the shapes in which we have that have a perimeter of 36m, we can consider rectangle and square.

For a square;

Perimeter of square = 4L

36 = 4L

L = 9m

The area of the square will be L² = 9² = 81m²

For a rectangle;

The perimeter of rectangle is;

P = 2(L + W)

We can assume that two numbers which will represent the length and width are;

L = 12m, W = 6m or L = 6m, W = 12m

A = 12 * 6 = 72m²

b.

The area of the wire is 100m², the perimeter for this can be calculated when we consider square and rectangle;

Perimeter of square = 4L

Area of square = L² = 100m²

L = 10m

The perimeter of the wire is 4(10) = 40m

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Answer:

28 i think

Step-by-step explanation:

Answer:

1.9375.

Step-by-step explanation:

To solve this, we must use PEMDAS.

The first things we take care of are parentheses and exponents.

Since there are no parentheses, we do exponents.

4^-1+8^-1÷1/2/3^3​

= \(\frac{1}{4} +\frac{1}{8} / 1/ 2/ 27\)

= 1/4 + (1/8) / 1 * (27 / 2)

= 1/4 + (27 / 8) / 2

= 1/4 + (27 / 8) * (1 / 2)

= 1/4 + (27 / 16)

= 4 / 16 + 27 / 16

= 31 / 16

= 1.9375.

Hope this helps!

Answer:

1.4 g/cm³

Step-by-step explanation:

Formula for density:

\(\boxed{\rho=\dfrac{m}{v}}\)

where:

Given:

Substitute the given values into the formula:

\(\implies \rho=\dfrac{770}{550}\)

\(\implies \rho=1.4\;\sf g/cm^3\)

Answer:

32π or 100.53 cm^3  to the nearest hundredth.

Step-by-step explanation:

dr/dt = 0.5

V = (4/3)π r^3

So dV/dr = (4/3)* 3 π r^(3-1)

= 4πr^2

Rate of increase in volume:  

dV/dt = dV/dr * dr/dt

At r = 4:

Rate of increase in Volume

dV/dt = 4π(4)^2 * 0.5

= 64π * 0.5

= 32π.

The equation in vertex for the parabola for y in terms of x is y = -0.009(x - 75)² + 55

From the question, we have the following parameters that can be used in our computation:

Vertex = (75, 55)

Point = (100, 49.375)

The equation in vertex form for a parabola is represented as

y = a(x - h)² + k

Where

Vertex (h, k) = (75, 55)

Point (x, y) = (100, 49.375)

So, we have

y = a(x - 75)² + 55

Substitute (x, y) = (100, 49.375) in y = a(x - 75)² + 55

49.375 = a(100 - 75)² + 55

So, we have

625a = -5.625

Divide by 625

a = -0.009

Substitute a = -0.009 in y = a(x - 75)² + 55

y = -0.009(x - 75)² + 55

Hence, the equation is y = -0.009(x - 75)² + 55

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Answer:

The possible values are a = -2.5 or a = 4.5.

Step-by-step explanation:

Composite function:

The composite function of f(x) and g(x) is given by:

\((f \circ g)(x) = f(g(x))\)

In this case:

\(f(x) = 4x^2 - 8x - 20\)

\(g(x) = 2x + a\)

So

\((f \circ g)(x) = f(g(x)) = f(2x + a) = 4(2x + a)^2 - 8(2x + a) - 20 = 4(4x^2 + 4ax + a^2) - 16x - 8a - 20 = 16x^2 + 16ax + 4a^2 - 16x - 8a - 20 = 16x^2 +(16a-16)x + 4a^2 - 8a - 20\)

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).

This means that when \(x = 0, f(g(x)) = 25\). So

\(4a^2 - 8a - 20 = 25\)

\(4a^2 - 8a - 45 = 0\)

Solving a quadratic equation, by Bhaskara:

\(\Delta = (-8)^2 - 4(4)(-45) = 784\)

\(x_{1} = \frac{-(-8) + \sqrt{784}}{2*(4)} = \frac{36}{8} = 4.5\)

\(x_{2} = \frac{-(-8) - \sqrt{784}}{2*(4)} = -\frac{20}{8} = -2.5\)

The possible values are a = -2.5 or a = 4.5.

Answer:

1843.2

Step-by-step explanation:

area=width*length

38.4=width

48=length

38.4*48=1843.2

The taxi ride was 7 miles

Mia took a taxi from her house to the airport

The taxi charged a pick up fee of $1.30

They also charged $4.25 per mile

The total fare was $31.05

The number of miles can be calculated as follows

31.05 - 1.30 = 4.25x

29.75= 4.25x

Divide both sides by the coefficient of x which is 4.25

29.75/4.25= 4.25x/4.25

x= 7

Hence the taxi ride was 7 miles

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Answer:

Y=2x+5

Step-by-step explanation:

Hope this helps

Answer:

120 miles

Step-by-step explanation:

9:am is time

12:00 pm is time

Distance, speed, and time are the hints to solving the problem

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