A truck that can carry no more than 5600 pounds is being used to transport refrigerators an upright pianos it refrigerator weighs 300 pounds in each piano weights 425 pounds write and graph an inequality to show how many refrigerators and how many pianos the truck carry. will nine refrigerators and eight pianos overload the truck?explain.

Answers

Answer 1

Since 6100 is greater than 5600, nine refrigerators and eight pianos would overload the truck.

What is linear inequality?

A linear inequality is an equation that represents a linear relationship between two variables and is used to describe a region of the coordinate plane that satisfies a given set of conditions.

Let "x" be the number of refrigerators and "y" be the number of pianos. The total weight of the refrigerators is 300 pounds per refrigerator, so the total weight of the refrigerators is 300x pounds. The total weight of the pianos is 425 pounds per piano, so the total weight of the pianos is 425y pounds. The total weight of the load must be less than or equal to 5600 pounds, so we can write an inequality as follows:

300x + 425y ≤ 5600

To graph this inequality, we can use the coordinates of points that satisfy the inequality and shade the region that represents the solutions.

To determine if nine refrigerators and eight pianos would overload the truck, we can substitute these values into the inequality and see if it still holds:

300 × 9 + 425 × 8 = 2700 + 3400 = 6100

Since 6100 is greater than 5600, nine refrigerators and eight pianos would overload the truck.

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Related Questions

the high level of airline ticket sales that travel agencies experience during summer is an example of what component of a time series? a. long-term trend b. cyclical variation in. seasonal variation d. random variation

Answers

The high level of airline ticket sales that travel agencies experience during summer is an example of (option C.)Seasonal component of a time series.

A time series is a set of observations collected over a period of time, and it can be decomposed into various components, including trend, cyclical, seasonal, and random variation.

The trend component represents the overall pattern of the time series, such as an upward or downward trend. The cyclical component represents the repeating patterns that are not related to the regular seasons or calendar years. The seasonal component represents the regular variations that occur at specific times of the year, such as the summer months in this example. The random variation represents the unpredictable fluctuations in the time series.

Since the high level of airline ticket sales during summer is a regular variation that occurs every year at the same time, it is an example of the Seasonal component of a time series.

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Complete question:

The high level of airline ticket sales that travel agencies experience during summer is an example ofwhich component of a time series?

A.Trend.

B.Cyclical.

C.Seasonal.

D.Random variation

An ancient Chinese problem: "A pool of water is 10 feet across, and in the middle of it stood a reed which
projected one foot above the water. When the wind blows the reed over, the top just reached to the edge of
the pool. How deep is the water?" Illustrate and solve. Show all work!

Answers

According to the question, the depth of the water is 11 feet.

What is the depth ?

The depth of something refers to how deep or far down it goes. It can refer to physical measurements such as the depth of a lake or ocean or the depth of a hole, or to metaphorical measurements such as the depth of knowledge or the depth of emotions. In terms of physical measurements, depth is usually referred to in terms of length or distance.

Let x be the depth of the water

The reed is 11 feet tall (10 feet in the water + 1 foot above the water)

The circumference of the pool is 10π feet

The volume of water in the pool = (circumference x depth) = 10πx

The volume of the reed = (area of base x height) = π(5²) x 11 = 275π

The total volume of the pool and reed = 10πx + 275π

10πx + 275π = 10π(11)

10πx = 110π

x = 11

Therefore, the depth of the water is 11 feet.

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The function f(x) = 500(1 − 0.19 )x2 models the price of a share of stock over time. Part A The price of the stock models exponential Choose... . What is the rate of exponential growth or exponential decay? % Part B Which expression is equivalent to the function f(x) = 500(1 − 0.19 )x2 ? A. f(x) = 202.5x B. f(x) = 20.1246x C. f(x) = 500(0.9)x D. f(x) = 500(1.0909)x

Answers

The function f(x) = 500(1 - 0.19)^x² is an exponentially decaying function.

The rate of decay is 0.19 or 19% and an equivalent expression to it is

f(x) = 500(0.9)^x.

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function f(x) = 500(1 - 0.19)^x² for the price of a share of stock.

This would be an exponentially decaying function because (1 - 0.19) is less than 1.

The rate of exponential decay is 0.19 or 19%.

An equivalent expression to the function f(x) = 500(1 - 0.19)^x² is,

f(x) = 500(0.9)^x.

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Two types of memberships are available for a water park
an unlimited use membership for $70 per month, or
a monthly $10 fee plus $5. 00 per visit
enter an equation that can be used to find the number of visits (v) per month needed for the two membership types to cost the same amount ​

Answers

Answer:

10+5v=70

Step-by-step explanation:

this is because you need to consider the outright monthly cost of $10 first. then you don't know how many visits you'll need so you have to fill in v and multiply it by the cost per visit. and it must equal 70 so that it is equal to the other membership.

Final answer:

The equation 70 = 10 + 5v is used to determine the number of visits per month needed for two membership types to cost the same. Solving the equation would provide that 12 visits a month will make both memberships cost the same.

Explanation:

The subject of this question is Mathematics, and it is related to the topic of linear equations. Given the problem, we know that there are two types of membership options:

An unlimited use membership for $70 per month. This can be represented as: Y = 70, A membership that costs a monthly $10 fee plus $5 per visit. This can be represented as: Y = 10 + 5v.

Here, Y represents the total cost of the membership each month and v represents the number of visits to the water park per month. You can set these two equations equal to each other in order to find the number of visits (v) needed for the two membership types to cost the same amount:

70 = 10 + 5v

You solve the equation for v to get: v = (70 - 10) / 5 = 12

Therefore, it would take 12 visits per month for both memberships to cost the same.

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Use the equation below to find A, if b=4 and h = 6.
A=bh

Answers

Answer: A = 24

Step-by-step explanation:

Hi, I think you may be looking for the Area of a square, or rectangle.

Step 1. A = bh

Step 2. A = (4 * 6)

Step 3. A = 24

Answer:

24

Step-by-step explanation:

plug in the values of b and h into the equation

Since b=4 we would put:

A=4*h

Now plug in h, which is equal to 6

A = 4*6

So, 4 multiplied by 6 equals 24. This means A is equal to 24

if 3x-9=6 whats the value of x

Answers

Answer:

the value of x is 5

Step-by-step explanation:

3x=6+9

3x=15

x=5

The value of the equation is X=5

Shalu cycles to her school at an average speed of 12 km/hr. It takes her 20 minutes to reach the school. If she wants to reach her schoo n 15 minutes, what should be her average speed?​

Answers

Answer:

She should walk at a rate of 16 km/hr

Step-by-step explanation:

At a rate of 12 km/hr, she would have traveled 4 km in 20 minutes. This can be calculated by finding the ratio of 20 minutes to 1 hour which is 1/3. We then multiply this ratio by the rate to find the distance Shalu needs to walk to school.

We then need to find the necessary km/hr in order for Shalu to travel 4 km in 15 minutes. 15 minutes is a quarter of 1 hr. Therefore a rate of 4 km/15 minutes is equal to a rate of 16 km/hr. This means that the average speed Shalu would have to walk is 16 km/hr.

how many lists of three elements can we make using the numbers 1, 2, 3, 4, and 5, if repetition is allowed? choose all that apply.

Answers

The solution is, 35, lists of three elements can we make using the numbers 1, 2, 3, 4, and 5, if repetition is allowed.

What is combination?

In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.

here, we have,

Given data:

{1 ,2, 3 ,4, 5}

Formula for combinations is used since the order does not matter and repetition is allowed.

nCr = (n + r -1) /(r! * (n-1)!)

where n is the total number of items and r is the items to be picked

now, we get,

5C3 = (5 + 3 - 1)! /(3! * (5 -1)!

5C3 = 7!/(3! *4!) Simplifying the factorials)

5C3 = 5040/(6*24)

5C3 =5040/144

5C3 = 35

Hence, The solution is, 35, lists of three elements can we make using the numbers 1, 2, 3, 4, and 5, if repetition is allowed.

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Can someone help me with this and find the amount budgeted

Answers

Answer:

Step-by-step explanation:

ok so it is 100 amount budgeted i calculated all of them dont be mad if i did it wrong i am really bad at math and here is a calmng photo to calm you and elp you think

[tex]\sqrt{x}[/tex]

Find the area of a rhombus whose altitude is 4 cm and perimeter is 36 cm.​

Answers

Answer:

36 cm²

-------------------------

Rhombus has four equal sides. Since perimeter is 36 cm, each side is:

36/4 = 9 cm

Area of rhombus is the product of base and altitude:

A = bh = 9*4 = 36 cm²

Answer: 36cm

Step-by-step explanation:

Which of the following is equal to the rational expression when x ≠ -2 or 3?

Answers

The simplification of the given rational expression when x is not equal to 2 or negative 3 is determined as (x + 1)/(x + 3).

What is Simplification of expression?Expressions can be made simpler by expanding any brackets, multiplying or dividing any terms, using the laws of indices if necessary, grouping like terms together by adding or subtracting, and finally rewriting the expression. The BODMAS rule states that when an expression has brackets ((),, []), we must first solve or simplify the bracket before moving on to "order" (which refers to powers and roots, etc.), followed by division, multiplication, addition, and subtraction from left to right.

The simplification of the given expression when x is not equal to 2 or negative 3 is determined as follows;

[tex]$=\frac{(x+1)(x-2)}{(x-2)(x+3)}$[/tex]

cancel "[tex]$\mathrm{x}$-2[/tex]" since it is common to numerator and denominator

[tex]$$=\frac{(x+1)}{(x+3)}$$[/tex]

Thus, the simplification of the given rational expression when [tex]$\mathrm{x}$[/tex]is not equal to 2 or negative 3 is determined as [tex]$(x+1) /(x+3)$[/tex].

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Trevor pet goat weighed 6 3/8 pounds when it was born. By age 3, the goat weighed 8 times as much. Fill each box with a number or symbol from the list to show how to find the weight of Trevor goat at age 3. 8 3/8 8 3 6 3/8 + x are the symbols

Answers

The weight of Trevor's goat will be 51 pounds at age 3.

We can use the following equation to calculate the weight of Trevor's goat at age 3,

Weight at age 3 = 6 3/8 × 8

First, we require to convert 6 3/8 to an improper fraction, so we multiply 6 by 8 to get 48 and then add the numerator 3 to get 51. So, 6 3/8 can be composed as 51/8.

Next, we multiply 51/8 by 8 to calculate the weight at age 3,

51/8 × 8 = 408/8 = 51

Therefore, the weight of Trevor's goat will be 51 pounds at age 3.

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--The given question is incomplete; the complete question is

"Trevor's pet goat weighed 6 3/8 pounds when it was born. By age 3, the goat weighed 8 times as much. Fill each box with a number or symbol from the list to show how to find the weight of Trevor's goat at age 3."--

The perimeter of rectangle ABCD is 105 inches. Use this information to solve for x.

D

c

7x + 1

Round your answer to the nearest tenths place if needed.

Answers

For rectangle ABCD, the value of x is 6.44 inches

Consider the following diagram.

From this figure we can observe that the dimansions of the rectangle: length is given by expression (7x + 1) and width is given by expression 'x'

We know that tha formula for the perimeter of the rectangle,

P = 2 × (length + width)

Here, the perimeter of rectangle ABCD is 105 inches.

Using above formula of perimeter we get an expression,

P = 2 × ((7x + 1)+ x)

105 = 2 × (8x + 1)

We solve above equation for x.

105/2 = 8x + 1

52.5 - 1 = 8x

8x = 51.5

x = (51.5)/8

x = 6.44 inches

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exponents and powers
find n
(2²n)4x(2^n)2=2^16-1

Answers

The value of "n" is approximately 2.6666667.

What is exponent ?

Exponent is a mathematical operation that represents repeated multiplication of the same number.

We can start by simplifying the left side of the equation:

(2^(2n))^4 * (2^n)^2 = 2^16 - 1

Using the exponent rules:

a^m * a^n = a^(m + n)

We can simplify the left side of the equation further:

2^(4n + 2n) = 2^16 - 1

Combining the exponents:

2^(6n) = 2^16 - 1

Now we can use the fact that if a^m = a^n, then m = n to solve for "n":

6n = 16

Dividing both sides by 6:

n = 16/6 = 8/3

Therefore, The value of "n" is approximately 2.6666667.

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solve the inequality 5x<-28 show your work

Answers

Answer:

x < -28

Step-by-step explanation:

5x < -28

x < -28/5

Lesley's fruit salad contains 40% grapes. Which figure represents 40%?
A. A hundred grid with five columns of ten squares shaded
B. A hundred grid with four columns of seven squares shaded
C. A hundred grid with three columns of ten squares shaded
D. A hundred grid with four columns of ten squares shaded

Answers

Answer:

The answer is D

Step-by-step explanation:

Percentages can be represented in Hundred Grid. It is a 10*10 grid that helps solves problems like yours.

In your case, it says 'Which figure represents 40% ?'

This means that you must shade 4 whole columns.

Because number 1, Each row or column contains 10 squares which can  also represent 10%. And if you were to shade 2 rows or columns that would mean it is 20%.

So to sum it up:4 whole columns = 40% out of 100

So a hundred grid with 4 columns of ten square shaded should be your answer.

I'm always happy to help!

Need help please thank you

Answers

The numeric values of the graphed function at x = 1 and x = 3 are given as follows:

f(1) = 0.7.f(3) = 0.4.

How to obtain the numeric values?

Tracing a vertical line through the coordinate x = 1, we have that the line would cross the graph at approximately y = 0.7, hence the numeric value is estimated as follows:

f(1) = 0.7.

Following the same procedure through x = 3, the line would cross the graph at approximately y = 0.4, hence the numeric value is estimated as follows:

f(3) = 0.4.

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A Six Sigma program has how many defects per million? 27006 times the standard deviation3410003.4

Answers

By standard deviation, 3.4 defects per million that a six sigma program has. Whereas the remaining ones are not appropriate in this context.

What does standard deviation mean ?

The term "standard deviation" (or "") refers to the degree of dispersion of the data from the mean.

                               Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

Describe standard deviation using an example?

The dispersion of the data around the mean value is measured by the standard deviation. It might be helpful when comparing data sets that may have the same mean but a different range.

                         The means of the two numbers 15, 15, 15, 14, 16, and 2, 7, 14, 22, 30 are the same, for instance. The second is, however, obviously more dispersed.

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What percent is 14 out of 26

Answers

Answer:

53.85 %

Step-by-step explanation:

use ratio to solve.

14/26 = x/100

1400/26 = x

x = ~53.85%

A composite figure is shown.
Which of the following represents the total area of the figure?

Answers

Answer:

16.425 in²

Step-by-step explanation:

Surface area of composite figure:

    Area of upper triangle:

          b = 2.5 in  ;  h = 2.3 in

           [tex]\sf \boxed{\bf Area \ of \ triangle = \dfrac{1}{2}bh}[/tex]

                                          [tex]\sf =\dfrac{1}{2}*2.5 * 2.3\\\\ =\dfrac{5.75}{2}\\\\=2.875 \ in^2[/tex]

     Area of bottom triangle:

                h = 5.2 - 2.3

                   = 2.9 in

                  [tex]\sf Area \ of \ bottom \ triangle = \dfrac{1}{2}*3*2.9[/tex]

                                                      =  4.35   in²  

Area of rectangle:

     Area of rectangle = l * w

                                   = 4 * 2.3

                                   = 9.2 in²

Area of composite figure = area of upper triangle + area of bottom triangle + area of rectangle

                                           = 2.875 + 4.35 + 9.2

                                          = 16.425   in²

In quadrilateral PQRS, the exterior angle at Q when ⎯⎯⎯⎯⎯⎯
is extended measures 155 and PS = QR. What measure of ∠PSR would confirm that PQRS is a parallelogram?

Answers

The measure of the angle ∠PSR will be equal to 25 degrees.


What is geometry?

One of the earliest areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

Given that In quadrilateral PQRS, the exterior angle at Q when PQ is extended measures 155 and PS = QR.

The measure of the angle PSR will be calculated as:-

∠Q exterior  = 155

∠PQR = 180 - 155

∠PQR = 25

∠PQR = ∠PSR = 25°

Therefore, the value of the angle ∠PSR is 25°.

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Caleb is comparing the growth of plants using two different fertilizers Use the measurement of the center from the box plots to make an inference about the data

Answers

Part A:

Based on the medians, the plants in Group A grew less on average, as compared to the plants in Group B.

Part B:

The range and IQR are greater in Group B as compared to Group A, so there is less variability in the growth of plants in Group B.

What is the box-and-whisker plot?

A box and whisker plot displays a "box" with its left edge at Q₁, right edge at Q₃, "center" at Q₂ (the median), and "whiskers" at the maximum and minimum.

Given:

Caleb is comparing the growth of plants using two different fertilizers.

The box-and-whisker plot is given.

From the diagram, we can clearly see that the median of A is less than the median of B.

Part A:

Based on the medians, the plants in Group A grew less on average, as compared to the plants in Group B.

Part B:

The range and IQR are greater in Group B as compared to Group A, so there is less variability in the growth of plants in Group B.

Therefore, the blanked words are given above.

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4. Are the triangles similar?
If yes, which angles are congruent?

Answers

By AA similarity Triangle PQR and TQS are similar.

What is Similarity?

Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.

Given:

As, PR || TS then

<RPQ = <TSQ (Alternate Interior Angle)

< <QTS = <QRP (Alternate Interior Angle)

So, Triangle PQR and TQS are similar by AA similarity criteria.

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3. A bumblebee of mass 0.015 kg is traveling at 21.0 m/sec when it collides with a windshield. How much kinetic energy does the bee have as it hits the windshield? Show work thanks for the help

Answers

Answer:

Step-by-step explanation:

KE = (1/2) * m * v^2

where KE is the kinetic energy, m is the mass of the object, and v is the velocity of the object.

We are given the mass of the bumblebee as 0.015 kg and its velocity as 21.0 m/sec. We can plug these values into the formula to calculate its kinetic energy:

KE = (1/2) * m * v^2

= (1/2) * 0.015 kg * (21.0 m/sec)^2

= (1/2) * 0.015 kg * 441.0 m^2/sec^2

= 2.92625 J

Therefore, the bumblebee has 2.92625 Joules of kinetic energy as it hits the windshield.

Answer:

The kinetic energy of the bumblebee as it hits the windshield is given by the equation KE = 0.5 x 0.015 kg x (21.0 m/s) squared. This gives us a total of 945 J of kinetic energy.

2. Lin and Andre biked home from school at a steady pace. Lin biked 1.5 km and it took her 5 minutes. Andre biked 2 km and it took him 8 minutes.

a. draw a graph with two lines that represents the bike rides of Lin and Andre
b. for each line, highlight the point with coordinates (l, k) and find k.
c who was biking faster?

please help me . -.

Answers

Answer: a. To create the graph, we need to find the speed (in km/min) of Lin and Andre. The speed is calculated as distance divided by time.

For Lin: speed = 1.5 km / 5 min = 0.3 km/min

For Andre: speed = 2 km / 8 min = 0.25 km/min

We can plot these speeds as points on a graph with time on the x-axis and speed on the y-axis.

b. The point for Lin is (5, 0.3) and for Andre is (8, 0.25).

c. From the graph, we can see that Lin was biking faster, with a speed of 0.3 km/min compared to Andre's speed of 0.25 km/min.

Step-by-step explanation:

Lin ran 2 3/4 miles in 2/5 of an hour.
2
Noah ran 8 2/3 miles in 4/3
of an hour.
c) How far would Noah run in 1 hour?

Answers

Answer:The distance cover by Noah in 1 hour to cover distance is 6.5 miles

Step-by-step explanation:

geometry, please help.

Answers

Answer:

MN ≈ 92.1

Step-by-step explanation:

given the figures are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{MN}{IJ}[/tex] = [tex]\frac{KL}{GH}[/tex] ( substitute values )

[tex]\frac{MN}{21}[/tex] = [tex]\frac{57}{13}[/tex] ( cross- multiply )

13 MN = 21 × 57 = 1197 ( divide both sides by 13 )

MN ≈ 92.1 ( to the nearest tenth )

Find the HCF :
2x^3+x^2-3x and x^3-x​

Answers

Answer: To find the highest common factor (HCF) of two polynomials, we can use the Euclidean algorithm for polynomials. The Euclidean algorithm involves dividing the larger polynomial by the smaller polynomial and continuing the division process until the remainder is zero. The last non-zero remainder is the HCF of the two polynomials.

In this case, we have:

2x^3 + x^2 - 3x = (2x^3 - x^3) + x^2 - 3x

= x^3 + x^2 - 3x

Now, we divide x^3 + x^2 - 3x by x^3 - x

x^3 + x^2 - 3x = x^3 - x * (1 + x - 3)

= x^3 - x * (x^2 - 2x + 3)

We cannot simplify this expression further, so the HCF of 2x^3 + x^2 - 3x and x^3 - x is x^3 - x.

Step-by-step explanation:

Please helpppp

graph 0.2 and its opposite


graph 9 and its opposite

Answers

Answer:

I need the answer tooo

Consider APQR in the figure below.
The perpendicular bisectors of its sides are SV, TV, and UV. They meet at a single point V.
(In other words, V is the circumcenter of APQR.)
Suppose UV=30, PS= 64, and RV=78.
Find PU, PR, and QV.
Note that the figure is not drawn to scale.

Answers

The given values are below:

PU = 72PR = 128QV = 78

How to get the values

Note that point V is the intersection of the three perpendicular bisectors of a triangle which is also the center of the subtriangle circumference

So QV = RV = PV = 78

Point S is the midpoint of PR

So PR = 2,
PS = 2 x 64 = 128.

Because triangle QUV is a right triangle,

QV = 78.

UV= 30

QV^2 + UV^2 = QV^2

Therefore, PU = 72

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which type of reproductive barrier separates two species of sea cucumbers whose sperm and eggs often bump into each other but do not cross-fertilize because of incompatible proteins on their surfaces? temporal isolation habitat isolation mechanical isolation gametic isolation En dnde compras larimar? Which sentence from paragraph 15 best describes the priest's point of view regarding the raccoon dog? T50 cm 8 S120 cm100%100% 21%150 cm100%21%21%Calculate #2x Each new rectangle is 21% longer than the original.Complete the table with the length of each newrectangle.Original Rectangle Length(cm)12050150Length After 21% Increase(cm) new trade theory stresses that countries should have favorable factor endowments to excel in the production of a good. True/False? fat mobilization is the breakdown of fats in adipose tissue into metabolic products that enter the bloodstream. place the steps of fat mobilization in order. you will not use all of the steps, as some steps have incorrect information. Lauren has a coin collection. She keeps 3 of the coins in her box, which is 4% of the collection. How many total coins are in her collection? in each part, determine the fundamental group up to isomorphism by showing it is homotopy equivalent to a space whose fundamental group is already known. which of the spaces are contractible? Which character did betty white portray in the television series the golden girls? whats the expression (2x+3)(2x-4) an aqueous kno3 solution is made using 70.8 g of kno3 diluted to a total solution volume of 1.87 l . (assume a density of 1.05 g/ml for the solution.) please answer the screenshot question the is defined as the payments to the owner plus the change in a security's value expressed as a fraction of the security's purchase price. how did radio change the nature of political communication in the 1930s? how did people come to see the president with the use of radio broadcasts? A 2.2 103 kg car accelerates from rest under the action of two forces. One is a forward force of 1143 N provided by traction between the wheels and the road. The other is a 909 N. Calculate the kinetic energy K of the mass as it reaches 7 m. Answer in units of J. 2. In an ideal situation, we have access to all the food options we desire. However, this is often not thecase in real-world situations. For each of your proposed steps in answer 1, provide an alternativedietary strategy that will also achieve your target, but in a different way. Explain your thinking. Put the equation inslope-intercept form.y - 4x = 17y = 4x + [?]Enter Consider the following mechanismsD) What is the rate law for this mechanism?I have already solved A), which was 2NH3+OCl=N2H4+H2O+Cl HELP ME PLEASE I WILL GIVE BRAINLIEST QUICK write a paragraph about winter seasons using six transitional devices ASAP.....................................!!!!!