What is the answer to this question?

The perimeter of the original square is 36 ft.

A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.

Let the side of square is x,

When one side is increased by 5 ft, the side = 5+x,

And other side is decreased by 3 ft, the side = x-3.

Also given that, the area of rectangle = 84 square ft

The area of rectangle = length×width

84  = (5+x)×(x-3)

By solving the equation, the value of x is 9,

Therefore, the side of the square is 9 ft

Perimeter of the square = 4x = 4×9 = 36 ft

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The possible fraction n is n = 5/8

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

The fraction is between 1/2 and 3/4.

This fraction is represented by n

So, we have

n is between 1/2 and 3/4.

The fractions 1/2 and 3/4 can be rewritten as

1/2 = 4/8

3/4 = 6/8

This means that

n is between 4/8 and 6/8

The number 5 is between 4 and 6

So, we have

5/8 is between 4/8 and 6/8

This means that

n = 5/8

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Answer:

[tex]\huge\boxed{\sf x = 5}[/tex]

Step-by-step explanation:

g(x) = -3x + 8

Given that, g(x) = -7

-7 = -3x + 8

Subtract 8 to both sides

-7 - 8 = -3x

-15 = -3x

Divide -3 to both sides

5 = x

OR

x = 5

[tex]\rule[225]{225}{2}[/tex]

The option that can be used to verify the trigonometric identity, [tex]tan\left(\dfrac{x}{2}\right)+cot\left(x \right) = csc\left(x \right)[/tex] is option C;

C. [tex]tan\left(\dfrac{x}{2} \right) + cot\left(x \right) = \dfrac{1-cos\left(x \right)}{sin\left( x \right)} +\dfrac{cos \left(x \right)}{sin\left(x \right)} =csc\left(x \right)[/tex]

A trigonometric identity is an equations that consists of trigonometric functions that remain true for all values of the argument of the functions

The specified identity is presented as follows;

[tex]tan\left(\dfrac{x}{2} \right)+cot(x)=csc(x)[/tex]

The half angle formula for tangent indicates that we get;

[tex]tan\left(\dfrac{1}{2} \cdot \left(\eta \pm \theta \right) \right) = \dfrac{tan\left(\dfrac{1}{2} \cdot \eta \right)\pm tan\left(\dfrac{1}{2} \cdot \theta \right)}{1 \mp tan\left(\dfrac{1}{2} \cdot \eta \right)\times tan\left(\dfrac{1}{2} \cdot \theta \right)}[/tex]

[tex]\dfrac{tan\left(\dfrac{1}{2} \cdot \eta \right)\pm tan\left(\dfrac{1}{2} \cdot \theta \right)}{1 \mp tan\left(\dfrac{1}{2} \cdot \eta \right)\times tan\left(\dfrac{1}{2} \cdot \theta \right)}=\dfrac{sin \left(\eta\right) \pm sin\left(\theta \right)}{cos \left(\eta \right) + cos \left(\theta \right)} = -\dfrac{cos \left(\eta\right) - cos\left(\theta \right)}{sin \left(\eta \right) \mp sin \left(\theta \right)}[/tex]

When η = 0, we get;

[tex]-\dfrac{cos \left(0\right) - cos\left(\theta \right)}{sin \left(0 \right) \mp sin \left(\theta \right)}=-\dfrac{1 - cos\left(\theta \right)}{0 \mp sin \left(\theta \right)}=\dfrac{1 - cos\left(\theta \right)}{sin \left(\theta \right)}[/tex]

Therefore;

[tex]tan\left(\dfrac{x}{2} \right)=\dfrac{1 - cos\left(x \right)}{sin \left(x \right)}[/tex]

[tex]cot\left(x \right) = \dfrac{cos(x)}{sin(x)}[/tex]

[tex]tan\left(\dfrac{x}{2} \right)+cot(x)= \dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}[/tex]

[tex]\dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}=\dfrac{1-cos(x)+cos(x)}{sin(x)} = \dfrac{1}{sin(x)}[/tex]

[tex]\dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)}=\dfrac{1}{sin(x)}=csc(x)[/tex]

Therefore;

[tex]tan\left(\dfrac{x}{2} \right)+cot(x)= \dfrac{1 - cos\left(x \right)}{sin \left(x \right)} +\dfrac{cos(x)}{sin(x)} = csc(x)[/tex]

The correct option that can be used to verify the identity is option C

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Answer:

  A. The number of pages in the assignment

Step-by-step explanation:

You want to know which of several possibilities the amount of time it takes to complete a reading assignment might be a function of: pages, cost, age of the book.

We expect that an assignment to read more pages will result in a longer completion time. While there might be different completion times for the same number of pages in different assignments (relation not a function), the relation might be a function for assignments in the same book.

There are many factors affecting the cost of a book, including the materials it is made of, the number of printed copies, the difficulty of providing the necessary typesetting and illustrations. These factors may also affect the time it takes to read an assignment. In general, we don't expect that a given number of pages in a book costing $20 will take longer to read than in a book costing $10 or $50. That is, we don't expect completion time to be a function of the cost of the book.

As with book cost, the year of publication may also have a relationship with readability. Older books may use different language, unfamiliar terminology, more (or less) complex illustrations, different typography. These may have a bearing on the time it takes to complete a reading assignment. However, if the same material is presented in the same way in a book published in 1900 versus 2000, we don't expect the assignment completion time to change.

The time it takes to complete a reading assignment is most likely to be a function of the number of pages in the assignment (other factors being equal).

Answer:

£52 was the original price

Step-by-step explanation:

Answer:

5 and two ninths

Step-by-step explanation:

Answer:

4/3=4*3+3*3=12/9+7/9=19/9

Step-by-step explanation:

En fait il faut le mettre au même dénonminateur puis additionner les numérateur.

Answer:

[tex]y=2x+3[/tex]

Step-by-step explanation:

We know that [tex]m=\frac{5-3}{1-0}=2[/tex] and that the [tex]y[/tex] intercept is 3.

The number of people surveyed in the bar graph is 34

The visual display of data (often grouped) in the shape of vertical or horizontal rectangular bars, with the length of the bars corresponding to the measure of the data, is called a bar graph.

The number of people surveyed is calculated by adding up the frequencies of each bar

The frequency shows the number of people using cell phones starting from zero cell phone user which is 1 to 6 cell phone users which is 5

The calculation

1 + 5 + 6 + 8 + 9 + 5 = 34

Hence the number people surveyed is gotten to be 34

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For the first 3 images.

a) The linear equation is the  one in option A:

y = x

b) The linear equation is the one in option B:

y = (1/2)*x + 3

c) The correct option is C, the slope of scenario 1 is 60

A general linear equation is:

y = a*x + b

So we have a polynomial of degree 1, this means that there can be at most two terms, one that depends of x, and other that is a constant.

From the first list the only linear equation is y = x.

none of the others depend linearly with x.

From the second list the only option that is a linear equation is B.

y = (1/2)*x + 3

Where you can see two terms, the first one depends linearly of x and the second one is a constant.

For the third image.

If you evaluate the equation for scenario 2 in x = 1, you get:

y = 50*1 = 50

So in one hour, you travel 50 miles.

While on scenario 1, on one hour you travel 60 miles.

Then the speed is greater on scenario 1, where the slope is 60, so the correct option is C.

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The average amount of time spent studying among graduate students at this​ student's school is between 17.3 and 22.5 hours per week. which is the correct interpretation would be option (A).

The arithmetic mean is defined as the ratio of the sum of observations to the total number of observations.

A graduate student wanted to determine the average time spent studying between many graduate students at her school. She took a random sample of graduate students from her school and obtained an hour per week.

In the context of the problem,

We are​ 99% sure that the average amount of time spent studying among graduate students at this​ student's school is between 17.3 and 22.5 hours per week.

Therefore, the correct interpretation would be option (A).

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The interest rate is 6%.

What is an interest rate?

The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate. The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.

Here,

It is given the initial amount was $1100 and after 51  days, it was worth $1110.44.

The interest can be calculated as follows:

Interest = $1110.44 - $1100

= $ 10.44

Now, we find the simple interest

I = PRT

I =  10.44

P =  $1100

T = 51 days

R =?

We put the given value in the formula and get

10.44 = (1100 ×51 ×R)/360

R = 0.066 × 100%

R = 6%

Hence, the interest rate is 6%.

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Answer:

1/6

Step-by-step explanation:

Let x = number.

3/4 x = 1/8

Multiply both sides by 8.

8 × 3/4 x = 8 × 1/8

6x = 1

x = 1/6

Answer: 1/6

Answer:

[tex]62[/tex]

Step-by-step explanation:

based on the given:

(Note: of ⟹ multiplication, percentage ⟹ ÷100, the number of marks he got in math more than English ⟹ the value he got in math minus the value he got in English)

Moving on, for math test:

80 × 92.5/100 = 74

For English test:

64 × 18.75/100 = 12

Now, the number of marks he got in math more than English ⟹ 74 - 12 = 62

Therefore, final answer is 62

Answer: Protein receptors - B)

Step-by-step explanation:

Once hormones find a target cell, they bind with specific protein receptors inside or on the surface of the cell and specifically change the cell's activities.

Answer:

≈ 404.6666667

Step-by-step explanation:

70 - 8 ÷ 6 + 8 x 42

70 - 1.33333333 + 8 x 42

70 - 1.33333333 + 336

68.6666667 + 336

404.6666667

Step-by-step explanation:

ok hope it will help you thanks for watching hope it will happen

Answer:

y=-2

Step-by-step explanation:

[tex]y^2+4y+4=0\\y^2+2y+2y+4=0\\(y^2+2y)+(2y+4)=0\\y(y+2)+2(y+2)=0\\(y+2)=0\\and \\(y+2)=0\\y=-2[/tex]

[tex]Proof:\\(-2)^2+4(-2)+4=0\\4+(-8)+4=0\\8-8=0\\0=0[/tex]

Expressing 675dam is 675000cm

A centimeter (American spelling centimeter, symbol cm) is a unit of length that is equal to one hundredth of a meter, the current SI base unit of length. A centimeter is part of a metric system.

A decameter (American spelling: dekameter, symbol: dam) is a measurement of distance equal to ten meters. This measure is included mostly for completeness

0.001. dam in 1 cm

Formula:

dam x 1,000 = cm

675 dam x 1,000 = 675,000 cm

Therefore, 675 dam is equal to 675000cm

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The following gives the variations:

m= -4p -----------> direct variation

r=9/t----------->indirect variation

n=(1/2)f----------->direct variation

u=2/z----------->indirect variation

The value of y when x=2 is -14

What are direct and indirect variations ?

One quantity directly changes in response to a change in another quantity, which is referred to as direct variation. This suggests that if one quantity increases, the other will follow suit and rise in proportion. In a similar manner, if one quantity declines, the other amount also declines.

When one parameter declines while the other rises or vice versa, this is known as inverse variation. This means that the magnitude or absolute value of one item decreases as the other quantity rises, resulting in a constant value for their product. This item is also referred to as the proportionality constant.

m= -4p -----------> direct variation

r=9/t----------->indirect variation

n=(1/2)f----------->direct variation

u=2/z----------->indirect variation

General equation for an indirect variation:

y = k/x

substitute y=7 and x= -4

7=k/-4

k=7*-4 = -28

To find y when x=2:

Substitute x=2 and k=-28 into the equation

y=-28/2 = -14

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The continuous rate of growth is 50 %,the initial population is 940 and at time t = 5 11451 bacteria will be there.

a)

A exponential function is represented as:

n(t) = n(0) e^kt

where k is the continuous rate of growth.

Given problem:

The number of bacteria in a culture is given by:

n(t) = 940 e^0.5t

on comparing k = 0.5

= 0.5*100%

= 50 %

b)

On comparing with exponential function with given function.

n(0) = 940

which is the initial population.

c)

At t = 5

n(5) = 940*e^0.5*5

= 940*e^2.5

= 940*12.1824

≈ 11451

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Answer:

c = 15

Step-by-step explanation:

P = 36; a = 11; b = 10

P = a + b + c

36 = 11 + 10 + c

36 = 21 + c

Subtract 21 from both sides.

15 = c

c = 15

Answer:

X=-36

Y=-7

Step-by-step explanation:

If 5y-1=x

then you can substitute x into the first equation

x-4y=-8

as we know x=5y-1 then

(5y-1)-4y=-8 is true

5y-4y is just y

so we are left with y-1=-8

add 1 to both sides

y=-7

substitute this into other equation

5(-7)-1=X

-35-1=X

X=-36

Answer:

Below

Step-by-step explanation:

A parbola with zeroes at 0 and 598 would look like this:

  f(x) = a ( x-0)(x-598)      at the midpoint 299   the value is 625

   625 = a (299) (299-598)      shows a = - 625/89401

-625/89401 (x)(x-598)   <======expand as necessary

Miguel has a higher unit rate of change than Donna because 53mph is greater than 48mph.

The unit rate is used to show the relationship between the variables illustrated. Since Miguel drove for 8 hours at a constant rate and drove a total of 424 miles. The rate will be:

= 424 / 8

= 53 miles per hour.

The unit rate for Donna will be:

Miles / Time

= 144 / 3

= 48 miles per hour.

Therefore, Miguel has a higher rate.

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The correct way to model the equation -x + 8 = 7x + (-8) is given by the option shown as follows:

1 negative x-tile and 8 positive unit tiles on the left side; 7 positive x-tiles and 8 negative unit tiles on the right side.

The equation is modeled according to the signals of each coefficient, with:

The equation in this problem is given as follows:

-x + 8 = 7x + (-8).

Then the tiles of each term are:

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Answer:

Step-by-step explanation:

the consecutive are 39,40,41 and the smallest here is 39

Hope this helped

where is the example? What are the binomials?- or do we use any three?