Paula is saving money to buy some records that will total $98. She has $23 so far, and she can save $5 per week. In how many weeks will she have enough money to buy the records?


Select an equation that could be used to answer the question above. Let w represent the number of weeks.


Group of answer choices


5 w minus 98 equals 23


98 w minus 5 equals 23


5 w plus 23 equals 98


23 w plus 5 equals 98
Explain pls

The differentiated form of 5 - 2x is -2.

Differentiation

Basically, it is a method of finding the derivative of a function.

Given,

Here we have the expression 5 - 2x.

Now, we have to differentiate operation on it.

In this given expression,

By the Sum Rule, the derivative of 5 − 2x with respect to x is written as,

=> d/dx [5] + d/dx [−2x].

Since 5 is constant with respect to x, the derivative of 5 with respect to x is 0.

So, it can be written as,

=> 0 + d/dx [−2x]

Since −2 is constant with respect to x, the derivative of −2x with respect to x is −2 d/dx [x].

Therefore,

=> 0 − 2 d/dx[x]

Differentiate using the Power Rule which states that 

d/dx [xⁿ] = nxⁿ⁻¹ where n=1.

So,

=> 0 − 2⋅1

Multiply −2 by 1.

=> 0 − 2

Therefore, the resulting value is -2.

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The pair of lines perpendicular to RS are EA and FG.

A flat surface on which a straight line joining any two points on it would wholly lie is known as a plane.

What is plane?

A plane is a point, a line, and three-dimensional space's equivalent in two dimensions.

Main Body:

Given

E,F and G are on plane X. R and S are in both planes X and Y. EA and FG are parallel. AE and FG are vertical lines and are present on plane X. RS is present at the intersection of the 2 planes.

Explanation:

The lines which together could be perpendicular to RS are EA and FG.

We have to first draw both the planes according to the given information in question.

X is a vertical plane so draw a plane vertical on the horizontal plane that is Y plane. Now plot A and F And G in X plane and R,S in such a way that they  are in both plane so they will be at the intersection of both the planes. Now draw lines from A and F to form lines EA and FG.

Hence we can observe that lines EA and FD are perpendicular on line RS.

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(8.1)(8.12 multply by4=263.080

Answer:

1  7/24

Step-by-step explanation:

2/3+ 5/8=  (2 × 8)(3 × 8)+ (5 × 3)(8 × 3) = 16/24+ 15/24=  16 + 15/24=  31/24 =  1 7/24

Answer:1 7/24

Step-by-step explanation:

Answer:

Step-by-step explanation:

The range is [-4, ∞)

Using a graphing calculator (desmos) we can obtain a graph of the following function.

Explanation:

In the graph, we can see that there is a point a -4 and nothing lower, making it our minimum y-value. However, we cannot see an ending for the function; therefore, it is indeterminable and thus, infinity. As for notation. we use the solid bracket because we know the definite point, though because infinity is not definite we just use a parentheses to enclose it.

Answer:

1

Step-by-step explanation:

4+1=5

5-4=1

Answer:

you have 1 friend

Step-by-step explanation:

you have 4 then you add another

that's 5

then you lose 4

5-4 is 1

percent change in enrollment from last year students  is

Work out the difference (reduction) between the two numbers you are comparing before calculating the percentage drop. Then, increase the result by 100 after dividing the decrease by the initial number. The outcome expresses the change as a percentage, or the change in percentage.

Last year students =320

This year students =352

We need to find the percent increase in enrollment.

The increase in no of students = 320 -352

= 32

Percentage = (increase/initial no of students) × 100

% =32/352*100

9%

Hence, the percent increase is 9%.

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Step-by-step explanation:

9.

we get the extreme values of y (a function) by finding the zeroes of the first derivative (that gives us the x-positions) and then using these x values in the original function.

a quadratic function has only one extreme value (1 less than the degree of the polynomial). but 2 zeroes (exactly the degree of the polynomial) - don't mix these two things up.

as the leading coefficient is positive (1), we know that the parabola is opening upwards, and the extreme value will be the vertex and therefore the minimum.

y = (x + 4)² + 6

y = x² + 8x + 16 + 6 = x² + 8x + 22

y' = 2x + 8

2x + 8 = 0

2x = -8

x = -4

(-4 + 4)² + 6 = 0² + 6 = 6

the smallest possible value of y = 6 (at x = -4).

10.

the intercept form of a parabola equation is

y = a(x - p)(x - q)

p and q are the x-intercept values.

in our case we see p = -3, q = 3.

also, we see the vertex being (0, 9), which we need to get "a".

y = a(x - -3)(x - 3) = a(x + 3)(x - 3)

using the vertex coordinates to get a :

9 = a(0 + 3)(0 - 3) = -9a

a = 9/-9 = -1

so, the quadratic equation is

y = -(x + 3)(x - 3) = -(x² - 9) = -x² + 9

11.

I assume the thinking here is : the flight curve of every falling object is a parabola.

the vertex of this parabola is (0, 36), as x represents the time in seconds, and y represents the height in ft.

the vertex form of a parabola is

y = a(x - h)² + k

with (h, k) being the vertex.

y = a(x - 0)² + 36 = ax² + 36

a must be negative, as the fall parabola opens downwards.

for typical fall situations on Earth a = -g/2 ≈ -16 (g being the gravity constant of 32.17405... ft/s²).

so, we have

y = -16x² + 36

for what x is y = 0 ?

0 = -16x² + 36

16x² = 36

x² = 36/16 = 9/4

x = 3/2 = 1.5

the coin hits the water after 1.5 seconds.

Answer:

the first, second and last option

Step-by-step explanation:

The expression is an arithmetic progression and the solution is

aₙ = a + ( n - 1 ) d

where a = 1

d = -1

n = 82

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the number of terms n = 82

Let the first term of the arithmetic progression be a = 1

Now , the common difference is d = -80 - ( -79 )

                                                         = -1

So , the expression for arithmetic progression is :

aₙ = a + ( n - 1 ) d

Substituting the values , we get

a₈₂ = 1 + ( 82 - 1 ) ( -1 )

a₈₂ = 1 + ( -81 )

a₈₂ = -80

And ,

a₈₁ = 1 + ( 81 -1 ) ( -1 )

a₈₁ = 1 + ( - 80 )

a₈₁ = -79

And so on ,

so , the expression is

aₙ = a + ( n - 1 ) d

where n = 82

d = -1

And the first term is a = 1

Hence , The expression is an arithmetic progression and the solution is

aₙ = a + ( n - 1 ) d

where a = 1

d = -1

n = 82

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The center of the circle is  (3,-3)   and the radius is 6  , the graph is drawn below .

In the question ,

the equation of the circle is given as

(x-3)²+(y+3)² = 36 ,

we know that the general equation of the circle is

(x - h)² + (y - k)² = r²

where , the center is (h,k) and the radius is r .

So , on comparing the given equation with general equation of the circle , we get

h = 3 and k = -3

and r² = 36

So, r = 6 .

the center is (h,k) = (3,-3)

and the radius is 6 .

the graph of the circle (x-3)²+(y+3)² = 36 is shown below .

Therefore , The center of the circle is  (3,-3)   and the radius is 6 .

The given question is incomplete , the complete question is

Graph the circle (x-3)²+(y+3)² = 36 and find the radius and center of the circle ?

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Shape of the distribution of the mean is appropriately normal.

The sampling distribution for a given population is the frequency distribution of the different outcomes that can occur for a population statistic.

In statistics, the population is the entire pool from which statistical samples are drawn. Population can refer to an entire group of people, things, events, visits, or measurements. Populations can therefore be described as aggregated observations from subjects grouped according to common characteristics.

From the given information

X:- impact force produced

X follows normal distribution with mean 30 and standard deviation of 3

n=3

As we know that when random sample is drawn from normal population then sample mean always follows normal distribution irrespective with sample size.

Shape of the distribution of the mean is appropriately normal.

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After doing proportional we will get:
i) Express y in terms of x : y = kx

ii) The value of y when x = 11 is 33

iii)  the value of x when y = 12 is 4

What is proportional?
If the corresponding elements of two sequences of numbers, frequently experimental data, have a constant ratio, known as the coefficient of proportionality as well as proportionality constant, then the two sequences of numbers are proportional as well as directly proportional. If corresponding elements in two sequences have a constant product, also known as the coefficient of proportionality, then the two sequences seem to be inversely proportional. This definition is frequently expanded to include connected variable quantities, also known as variables. Variable has a different meaning in mathematics than it does in everyday language (see variable (mathematics)); such two concepts share the same name due to a shared etymology.

i) y ∝ x

y = kx

when y = 6, x = 2

6 = 2k

k = 3

y = kx

ii) y = 3x

y = 3(11)

y = 33

iii) y = 3x

12 = 3x

x = 4

iv) For the graph:

x  0  1  2

y  0  3 6

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Answer:

∴ a = -4.61 or 2.61 (to 3sf)

Step-by-step explanation:

      (a + 3)(a - 1) = 3(2 + 1)

  a² + 3a - a - 3 = 3(3)

       a² + 2a - 3 = 9

  a² + 2a - 3 - 9 = 0

      a² + 2a - 12 = 0

[(a + 1)² - 1²] - 12 = 0

       (a + 1)² - 13 = 0

              (a + 1)² = 13

∴ a = -4.61 or 2.61 (to 3sf)

Answer:

Step-by-step explanation:

c

Answer:

D

Step-by-step explanation:

hope it helped:)

Answer:

39mm=6m52/39= 1 1/31 1/3 times 6 meters4/3 times 6/1 = 24/324/3=8The actual length of the living room is 8 meters

Using the standard z table, a 95% confidence interval for p is (0.5327,0.6173).

In the given question,

A poll is taken in which 302 out of 525 randomly selected voters indicated their preference for a certain candidate.

We have to find a 95% confidence interval for p.

From the question, x=302, n=525

So estimation point,

P=x/n

P=302/525

P=0.575

Now the z value of 95% confidence interval is 1.960 using the standard z table.

Margin of Error (E)=z×√{P(1−P)}/n

Now putting the value

E=1.960×√{0.575(1−0.575)}/525

E=1.960×√(0.575×0.425)/525

E=1.960×√0.244/525

E=1.960×√0.000465

E=1.960×0.0216

E=0.0423

At 95% confidence interval for p is

P−E ≤ p ≤ P+E

Now putting the value

0.575−0.0423≤ p ≤0.575+0.0423

0.5327≤ p ≤0.6173

Hence, a 95% confidence interval for p is (0.5327,0.6173).

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7x - 3 > 24 can be described as an inequality.

An algebraic expression consists of unknown variables, numbers and arithmetic operators.  It does not contain any equality or inequality symbols.

Variables are number represented with a letter in an expression. Numbers includes 1, 2, 3 etc. Basic operators are addition, subtraction, multiplication and division.

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.

For example x > y.

Therefore, we can denote 15x -10 as an expression and 7x - 3 > 24 is denoted as an inequality.

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Answer:

B )  x = 2 + √2 or x = 2-√2

Step-by-step explanation:

See attachment...

Hope this helps! :)

Answer:  The standard deviation is 443.6  (rounded up to one decimal place)

Step-by-step explanation:

σ2 = (Σ(xi - μ)^2)/N

= ((3940 - 3682.5)^2 + ... + (4040 - 3682.5)^2)/8

= 1574150/8

= 196768.75

σ = [tex]\sqrt{196768.75}[/tex]  

= 443.58623738795

Frequency Table

Value Frequency

2990 1 (12.5%)

3200 2 (25%)

3810 1 (12.5%)

3940 1 (12.5%)

4040 1 (12.5%)

4140 2 (25%)

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Answer:

-2<x<3

Step-by-step explanation:

I have attached the work required to solve this problem as well as a pretty good explanation to each step.

========================================================

Explanation

Use the pythagorean theorem to find b

a^2+b^2 = c^2

b = sqrt(c^2 - a^2)

b = sqrt(20^2 - 16^2)

b = sqrt(400 - 256)

b = sqrt(144)

b = 12

The missing leg of this right triangle is 12 feet long. This isn't the final answer, but it does lead to the answer. Choice B is a trick answer, so be careful.

We have a right triangle with sides 12, 16 and 20. The perimeter is therefore 12+16+20 = 28+20 = 48 feet which is the amount of fencing needed. The answer is choice D.

Side note: Your teacher mentions the shortest side is 16 feet, but that's clearly not the case since it should be 12 feet instead. This seems like a typo.

(7x-30) is the expression which you can use that is equivalent to 5x -2(15-x).

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

Given: [tex]5x-2(15-x)[/tex]

On solving the above equation we get ,

⇒ 5x - 2 (15) + 2 (x)

⇒ 5x - 30 + 2x

⇒ (5x + 2x) - 30

⇒(7x - 30)

Hence, we can say that (7x-30) is the expression which we can use and that is equivalent to 5x -2(15-x).

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Answer:

P=34in

Step-by-step explanation:

just want to help <33333

Answer:34

Step-by-step explanation:34

The solution of the fractions six and five eighths times negative one and two fifths is  negative 371 over 40

Fractions are numbers written as a quotient, in which a numerator is divided by a denominator

Given: six and five eighths times negative one and two fifths

6 5/8  x -1 2/5

First, convert each fraction to improper fractions:

6 5/8 = (6 x 8)+4/ 8  = 53/8

-1 2/5 = - ( (1 x 5)+2/ 5 ) = - 7/5

Thus,

6 5/8  x -1 2/5  = 53/8  x - 7/5

                       = - (53 x 7) /(8x5)

                       = - 371/40

Therefore, six and five eighths times negative one and two fifths is negative 371 over 40. The 1st option is the answer

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Step-by-step explanation:

The unit rate per carton is 2

A pound of banana has its cost to be (c) $0.59

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

Amount spent on bananas = $3.54 degrees

Number of pounds = 6 pounds

From the above parameter, we can calculate the cost of one pound using the unit rate formula

The unit rate is calculated as

Unit rate = Amount spent on bananas/Number of pounds

Substitute the known values in the above equation

So, we have the following equation

Unit rate = 3.54/6

Evaluate the quotient

Unit rate = 0.59

Hence, the cost of one pound is $0.59

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Answer:

6 cats

Step-by-step explanation:

first we can find 2/3 of 18

2/3*18

36/3

12 cats are brown so now since there are 18 cats in total we subtract that from 12 to see how many are not brown

18-12

6 cats are not brown

Hopes this helps please mark brainliest

Answer:

1.) For the first question, the answer is 12

2.) For the second answer, you are correct, the answer is 55

3.) The third answer is 3/2

Step-by-step explanation:

1.) 18x2/3 = 12

2.) 6x8+7 = 55

3.) 1/2 + 1/2 + 1/2 = 3/2 add the numerators (top part of fraction) ONLY and leave the denominators (bottom part of fraction) ALONE.

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