List what you are thankful for! (It's Thanksgiving! Answer if you bake! Or if you like cakes pies cookies and treats!!! )

Answer: -7/5

Step-by-step explanation:

-4(1/5)⋅(1/3)

Convert -4(1/5) to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

− (4 +1/5) ⋅(1/3)

 Add 4 and 1/5

-21/5  ⋅ 1/3

Cancel the common factor of 3.

Move the leading negative in − 21 /5 into the numerator.

−21/5 ⋅ 1/3

Factor 3 out of −21.

3 (−7)/5 ⋅ 3 /1

Cancel the common factor.

Rewrite the expression.

−7 /5

Answer:

- 1 2/5

Step-by-step explanation:

make -4 1/5 and improper fraction which would be -21/5x1/3 then u multiply across and ur answer is -21/15. Then you havw to change it to a mixed number and you would get 1 6/15. This number can be simplified by 3 so it would be - 1 2/5

Answer:

1unit scale on map is equal to 100.16 km in real life

Step-by-step explanation:

since in map 12.cm =1262km in real life

1cm=(1262/12.6) km

therefore it gives us 100.158km which is approximately 100.16 km .

Answer:

\(\displaystyle{x = \dfrac{\ln 5+6 \ln 10}{2\ln 10} }\)

Step-by-step explanation:

We are given the exponential equation of:

\(\displaystyle{10^{2x-6} = 5}\)

Take natural logarithm both sides:

\(\displaystyle{\ln \left(10^{2x-6}\right) = \ln 5}\)

Apply logarithm property where:

\(\displaystyle{\ln M^N = N\ln M}\)

Therefore:

\(\displaystyle{(2x-6)\ln 10 = \ln 5}\)

Divide both sides by \(\displaystyle{\ln 10}\):

\(\displaystyle{\dfrac{(2x-6)\ln 10}{\ln 10} = \dfrac{\ln 5}{\ln 10}}\\\\\displaystyle{2x-6 = \dfrac{\ln 5}{\ln 10}}\)

Add 6 both sides:

\(\displaystyle{2x-6+6 = \dfrac{\ln 5}{\ln 10}+6}\\\\\displaystyle{2x = \dfrac{\ln 5}{\ln 10}+6}\)

Then divide both sides by 2:

\(\displaystyle{\dfrac{2x}{2} = \dfrac{\dfrac{\ln 5}{\ln 10}+6}{2}}\\\\\displaystyle{x = \dfrac{\ln 5}{2\ln 10} + 3}\)

Multiply 3 by 2ln10 for both denominator (1) and numerator (3):

\(\displaystyle{x = \dfrac{\ln 5}{2\ln 10} + \dfrac{3 \cdot 2\ln 10}{1 \cdot 2\ln 10}}\\\\\displaystyle{x = \dfrac{\ln 5}{2\ln 10} + \dfrac{6\ln 10}{ 2\ln 10}}\)

Add in one denominator:

\(\displaystyle{x = \dfrac{\ln 5+6 \ln 10}{2\ln 10} }\)

Hence, the answer is first choice.

Step-by-step explanation:

10^(2x - 6) = 5

i would use immediately a log10 of both sides and get

2x - 6 = log10(5)

since the answers want to use ln, let's convert the log10 term to ln (rules of logarithm - change of base rule) :

log10(5) = ln(5)/ln(10)

so, we have

2x - 6 = ln(5)/ln(10)

then

2x = ln(5)/ln(10) + 6

x = ln(5)/(2ln(10)) + 6/2

and now to bring the whole right side into one fraction, we need to transform 6/2 into something like .../(2ln(10)).

so, we get

x = ln(5)/(2ln(10)) + (6ln(10))/(2ln(10)) =

= (ln(5) + 6ln(10))/(2ln(10))

that is the first answer option.

Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;

f(x) = 2x + 2         ⇒   (0, 2).

f(x) = 2x² - 2        ⇒   (-1, 0).

\(f(x) = 2\sqrt{x+1}\)   ⇒   (0, 2).

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;

For the ordered pair (0, 2), we have:

f(x) = 2x + 2

2 = 2(0) + 2

2 = 2 (True).

For the ordered pair (-1, 0), we have:

f(x) = 2x² - 2

0 = 2(-1)² - 2

0 = 2 - 2

0 = 0 (True).

For the ordered pair (0, 2), we have:

\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)

2 = 2 (True).

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The equation of the best fit of the table of values is y = 2.13x² + 0.13x + 6.39

Given the following dataset

X Values: -4, -3, -2, -1, 0, 1, 2, 3, 4

Y Values: 40, 28, 10, 8, 7, 10, 16, 26, 40

To determine the equation of the best fit, we enter the values in a graphing tool and we interpret the result

From the tool, we have the following summary:

a = 6.38502, b = 0.13333 and c = 2.12554

Approximate these values

So, we have

a = 6.39, b = 0.13 and c = 2.13

A quadratic equation is represented as

y = cx² + bx + a

By substitution, we have

y = 2.13x² + 0.13x + 6.39

Hence, the equation is y = 2.13x² + 0.13x + 6.39

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Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

The length of the zip wire is approximately 25.42 meters.

To calculate the length of the zip wire, we can use trigonometry and the given information about the angle and the distance between the two posts.

Given:

Distance between the two posts: 25m

Angle of the zip wire to the horizontal: 10°

We can use the trigonometric function cosine (cos) to find the length of the zip wire. Cosine relates the adjacent side to the hypotenuse of a right triangle.

In this case, the adjacent side is the distance between the two posts (25m) and the hypotenuse is the length of the zip wire that we want to calculate.

Using the cosine function:

cos(angle) = adjacent/hypotenuse

cos(10°) = 25m/hypotenuse

To find the hypotenuse (length of the zip wire), we can rearrange the equation:

hypotenuse = 25m / cos(10°)

Using a calculator or trigonometric tables, we can find the value of cos(10°) to be approximately 0.9848.

Therefore, the length of the zip wire is:

hypotenuse = 25m / 0.9848 ≈ 25.42m

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For the given percenatge of total cost, the total value of Gabe's health care coverage for the year is $9,984.

What is percentage?

Percentage is a way of expressing a fraction or a part of a whole as a portion out of 100. It is represented by the symbol "%".

We can start by using the information given to determine the total cost of the health care coverage. Let's call this cost "C". Since Gabe contributes 15% of this cost and pays $28.80 per week, we can write:

0.15C = 28.80

To solve for C, we can divide both sides by 0.15:

C = 28.80 / 0.15

= 192

So the total cost of the health care coverage is $192 per week. To find the total value of Gabe's health care coverage for the year, we need to multiply this weekly cost by the number of weeks in a year.

Assuming there are 52 weeks in a year, we have:

Total value of Gabe's health care coverage = 192 x 52

= 9984

Therefore, the total value of Gabe's health care coverage for the year is $9,984.

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The theoretical probability of spinning red is given as follows:

1/3.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For the spinner in this problem, 2 out of 6 regions are red, hence the theoretical probability is given as follows:

2/6 = 1/3.

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Given:

\(\Delta ABC\sim \Delta D EF\)

\(AB=15,BC=y,AC=18,DE=12,EF=9,DF=x\)

To find:

The values of x and y.

Solution:

We have,

\(\Delta ABC\sim \Delta D EF\)

Corresponding sides of similar triangles are proportional.

\(\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}\)

On substituting the values, we get

\(\dfrac{15}{12}=\dfrac{y}{9}=\dfrac{18}{x}\)

\(\dfrac{5}{4}=\dfrac{y}{9}=\dfrac{18}{x}\)

Now,

\(\dfrac{5}{4}=\dfrac{y}{9}\)

\(\dfrac{5}{4}\times 9=\dfrac{y}{9}\times 9\)

\(\dfrac{45}{4}=y\)

\(11.25=y\)

And

\(\dfrac{5}{4}=\dfrac{18}{x}\)

\(5\times x=18\times 4\)

\(x=\dfrac{72}{5}\)

\(x=14.4\)

Therefore, the value of x is 14.4 units and value of y is 11.25 units.

Answer: (3, -2.333) or (3, -7/3)

Step-by-step explanation:

We're given an x value (x=3) when looking at the coordinate, so we're trying to find what y is equal to given the equation. We can plug in x=3 into 5x+3y=8 and isolate for y.

\(5(3)+3y=8\\15 + 3y=8\\3y=-7\\y=-\frac{7}{3}\)

Answer:

y= -2 1/3

Step-by-step explanation:

Since you have x, you put x into the equation and work through the problem.

5(3)+3y=8

15+3y=8, then subtract 15 from both sides

3y=(-7), then divide both sides by 3

y=(-7)/3 or (-2 1/3)

Answer:

24 3/4 - 15 1/6

Step-by-step explanation:

1/6 x 4 = 4/24        3/4 x 6 = 18/24    

24-15 = 9

9 14/24 or 9 7/12

Answer:

Step-by-step explanation:

Angle C is ...

  C = 180° -A -B = 180° -60° -30° = 90°

This is a right triangle with hypotenuse length 14.

  a = c·sin(A) = 14·sin(60°) = 7√3

  b = c·sin(B) = 14·sin(30°) = 7

The remaining sides are b=7 and a=7√3.

Answer:

x = 9

Step-by-step explanation:

If ABCD is a parallelogram, then 6x = 7x - 9

as the point of intersection of the 2 diagonals is the midpoint of AC

6x = 7x - 9

Subtract 6x from both sides:

⇒ 0 = x - 9

Add 9 to both sides:

⇒ 9 = x

Solution:

We know that:

This means that:

Step-by step calculations:

Simplify the RHS:

Subtract 13x both sides:

Divide -1 both sides:

The perimeter of the composite figure that is given above would be = 96.6m.

To calculate the perimeter of the given shape, it has to be divided into two.

First shape is a rectangle. Therefore the perimeter of a rectangle is calculated with the formula = 2(l+w)

Where ;

length = 16m

width = 11m

perimeter = 2(16+11)

= 2×27

= 54m

The second shape:

Perimeter of triangle = l+w+h

where;

length = 18-11 = 7m

width = 16m

height = 19.5m

perimeter = 7+16+19.5 = 42.5m

Therefore, the perimeter of the shape = 54+42.5 = 96.6m

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Objects commonly found in a locality include residential buildings, commercial establishments, public facilities, transportation infrastructure, landmarks, natural features, utilities, street furniture, and vehicles.

The type of objects that can be found in a locality can vary greatly depending on the specific location and its surroundings. Here are some common types of objects that can be found in a locality:

Residential Buildings: Houses, apartments, condominiums, and other types of residential structures are commonly found in localities where people live.

Commercial Establishments: Localities often have various types of commercial establishments such as stores, shops, restaurants, cafes, banks, offices, and shopping centers.

Public Facilities: Localities typically have public facilities such as schools, libraries, hospitals, community centers, parks, playgrounds, and sports facilities.

Transportation Infrastructure: Localities usually have roads, sidewalks, bridges, and public transportation systems like bus stops or train stations.

Landmarks and Monuments: Some localities may have landmarks, historical sites, monuments, or cultural attractions that represent the area's heritage or significance.

Natural Features: Depending on the locality's geographical characteristics, natural features like parks, lakes, rivers, mountains, forests, or beaches can be present.

Utilities: Localities have infrastructure for utilities such as water supply systems, electrical grids, sewage systems, and telecommunications networks.

Street Furniture: Localities often have street furniture like benches, streetlights, waste bins, traffic signs, and public art installations.

Vehicles: Various types of vehicles can be found in a locality, including cars, bicycles, motorcycles, buses, trucks, and possibly other modes of transportation.

It's important to note that the objects present in a locality can significantly differ based on factors such as urban or rural setting, cultural context, economic development, and geographical location.

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The initial price of the computer was $X.

The current price is $0.36X

Thus, the current value is X-0.36X.

By taking the common factor, this can also be expressed as:

X(1-0.36).

Hence, the two(2) expressions that represent the value of the laptop today are options B and option D.

To find the slope of the curve at t=3, we first need to find the values of x and y at t=3 using the given equations.

x = (3)^5 + 3 = 246

y + 3(3)^5 = 3

y = -1347

Next, we can differentiate both equations with respect to t to get the following:

dx/dt = 5t^4 + 1

dy/dt = -15t^4

At t=3, we get

dx/dt = 5(3)^4 + 1 = 454

dy/dt = -15(3)^4 = -1215

Therefore, the slope of the curve at t=3 is given by dy/dx = (dy/dt)/(dx/dt) = (-1215/454) ≈ -2.68. This means that the curve is decreasing (sloping downwards) at t=3.

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Answer:

See below

Step-by-step explanation:

By switching to vertex form, you not only condense the function so it's easier to solve if it's an equation, but you get information about the function like the vertex and how stretched or compressed it is.

Answer:

The solution is -1,-1

Step-by-step explanation:

The solution of a graph is where the two lines intersects and the this graph intersects at -1,-1

The end behavior of the function is as x tends to infinity, f(x) tends to zero. It is power function.

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity.

The degree and the leading coefficient of a polynomial function given is determine the end behavior of the graph.

Given that function has a vertical asymptote at x = -5 and x = 3 , a point discontinuity at x = 2.

The end behavior of f(x) goes to 0 as x goes to negative infinity and f(x) goes to 0 as x goes to positive infinity.

The domain is (-inf, -5)U(-5, 2)U(2, 3) U (3,inf).

Hence, we can conclude that the end behavior of the function is as x tends to infinity, f(x) tends to zero.

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The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

From the figure, the area of triangles can be calculated using the:

Area = (1/2)height×base length

Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)

Area of three triangle = 1/2(24×3) = 36 square units

Area of the figure = area of three triangle + area of the rectangle

= 36 + 6×4

= 60 square units

Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.

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Step-by-step explanation:

=4(x)+4(-7)-2(x)-2(1) = -10

= 4x-28-2x-2= -10

therefore the third equation is equivalent to the given equation..all you need is to simplify.

Hope this Helps!!!