the formula for exponential decay is y=a(1-r)^t, where a is the initial amount, r is the rate of decay and t is the number of intervals. use the formula to determine the answer to the following problem.

on wednesday your science teacher gives you a list of twenty five terms to be memorized. you memorize all of them wednesday night and do not look at the list again. if you forget 5% of the list each day, how many terms will you remember seven days later for the chapter test?

Answer: The price for the product is R$5.

Step-by-step explanation: Suppose the unit price of the product is X.

T is all the money I have.

In the first option, 20 units spend all my money, so:

T = 20x

In the second option, if I buy 14 of it, I have a remaining of R$30, so:

T = 14.x + 30

To determine the unit valor:

20x = 14x + 30

20x - 14x = 30

x = [tex]\frac{30}{6}[/tex]

x = 5

The product costs R$5.

Answer:

O valor unitário deste produto é de R$ 5.

Step-by-step explanation:

Ao comprar 14 unidades do produto, restam 30 Reais, ao comprar 20 unidades, não resta dinheiro, podemos afirmar que para comprar 6 unidades são necessários 30 Reais.

Portanto, para determinar o valor unitário do produto, devemos dividir os 30 Reais da troco pelas 6 unidades que não foram compradas.

Portanto, como 30/6 resulta em 5, esse é o valor unitário do produto. Cada produto vale 5 Reais.

Answer:

6/9

Step-by-step explanation:

The probability of drawing a marble that is not green from a jar with 4 red, 3 green, and 2 blue marbles is 2/3 or 66.67%.

To find the probability of drawing a non-green marble from a jar containing red, green, and blue marbles, calculate the ratio of non-green marbles to the total marbles

Calculate the total number of marbles: 4 (red) + 3 (green) + 2 (blue) = 9 marbles in total.

The probability of drawing a non-green marble = [tex]\frac{(4~ red ~marbles + 2 ~blue ~marbles) }{9~ total ~marbles.}\\\frac{6}{9}[/tex]

Therefore, the probability of drawing a non-green marble is 6/9 or 2/3 (or approximately 0.67).

Answer:

86

Step-by-step explanation:

Given that there are 30 students in class 10R and the mean marks for the entire class was 70%. Therefore, total mark of class = 70 x 30 = 2100

Given that there are 20 boys in the class and the mean marks for the boys was 62 %. Therefore, total mark of boys = 62 x 20 = 1240

To calculate the mean mark for the girls we need to find the total number of girl and total mark of girls. total number of girl = 30 - 20 (boys) = 10 total mark of girls = total mark of class -  total mark of boys = 2100 - 1240 = 860 mean mark for girls = 860 / 10 = 86

Answer:

[tex]\frac{x+5}{x+3}[/tex]

Step-by-step explanation:

hope this helps!

Answer:

C - 5/y+5

Step-by-step explanation:

edge 2020

The Answer is B 21.5%

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

if the term to term rule is to divide by two and the third term in the sequence is 3, you work backwards by multiplying by 2

So 3x2=6

6x2= 12

Thus the first number is 12.

working forward again, you can check your answer. Divide 12 by 2, then divide 6 by 2 and you get 3, the third term if the sequence

The first term of the sequence will be 12.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The term to term rule is divide by 2 the third term of the sequence is 3.

Now,

Since, The term to term rule is divide by 2 the third term of the sequence is 3.

So, We get the second number by multiply the 2 in the third number 3.

Second number = 2 x 3

                         = 6

And, We get the first number by multiply the 2 in the second number 3.

So, First number = 6 x 2

                          = 12

Thus, The first term of the sequence will be 12.

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Answer: y=3/4x+5/4

Step-by-step explanation: First you simplify, so you divide 4 by everything and you get y=3/4x+5/4

Answer:

4y=3x-1

y=3/4x-5/4

Step-by-step explanation:

If a line is parallel to another, the gradient remains the same. So (if you have multiple choice answers), you can rule out the ones without a gradient of 3.

From there, you can either draw or visualise the y-intercept. Do this until you have found the line which is parallel to 4y=3x+1. Hope that made sense :)

Answer: [tex](2x+5)(x+3)[/tex]

Step-by-step explanation:

[tex](2x^2+6x)+(5x+15)\\2x(x+3)+5(x+3)\\(2x+5)(x+3)[/tex]

Answer:

EDG 2021

Step-by-step explanation:

Step 2: C. 2x

Step 3: B. 5

Step 4: C. x + 3

Step 5: A. (x + 3) (2x + 5)

Answer:

$30 in total.

Step-by-step explanation:

Since he owes 3 people 10 dollars each, you simply need to multiply:

10×3= $30 dollars in total.

Answer:

L = 17 m W = 12 m

Step-by-step explanation:

Here is the answer.

The width of the rectangle is 12 meters, and the length is 17 meters, obtained by setting up equations based on the perimeter and the given relationship between length and width.

To find the length and width of the rectangle, we need to set up equations based on the given information. The question states that the length is 5m longer than the width, and the perimeter is 58m. Let's denote the width as w and the length as l. According to the problem, l = w + 5m.

The formula for the perimeter P of a rectangle is P = 2l + 2w. We can substitute the expression for the length into this formula:

P = 2(w + 5m) + 2w

Since we know the perimeter is 58m:

58m = 2(w + 5m) + 2w

58m = 2w + 10m + 2w

58m = 4w + 10m

48m = 4w

w = 12m

Now we can find the length:

l = w + 5m

l = 12m + 5m

l = 17m

The width of the rectangle is 12 meters and the length is 17 meters.

Answer:

the answer is 1/12

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Answer:

(143/74, -65/148)

Step-by-step explanation:

We have the equations:

4x - 12y = 13

14x + 32y = 13

Let's use elimination, so multiply the first equation by 8 and the second equation by 3:

8 * (4x - 12y = 13)  ⇒  32x - 96y = 104

3 * (14x + 32y = 13)  ⇒  42x + 96y = 39

Add those two equations:

    32x - 96y = 104

+   42x + 96y = 39

________________

    74x  +  0y  =  143

Divide both sides by 74:

x = 143/74

Plug this into an equation to find y:

4x - 12y = 13

4 * (143/74) - 12y = 13

12y = 572/74 - 13 = -390/74

y = -65/148

The answer is (143/74, -65/148).

Answer:

x = 143/74

y = -65/148

Step-by-step explanation:

4x-12y= 13

4x = 13 + 12y

x = 13/4 + 3y

32y+14x=13

32y + 14(13/4 + 3y) = 13

32y + 91/2 + 42y = 13

74y = 13 - 91/2

74y = -65/2

y = -65/148

x = 13/4 + 3(-65/148)

x = 143/74

x = 143/74

y = -65/148

Answer:

it is an enlargement ( I know) and the scale factor is 2.6 (I think. I can't do it without the image)

Step-by-step explanation:

Answer:

C The dilation is a reduction.

Step-by-step explanation:

Which statement about these rectangles is true?

A rectangle pre-image has a length of 4 and width of 2. A rectangle image has a length of 4 (1.5) and width of 2 (1.5).

Answer:

f(x) = x^2 - 12x + 20

Step-by-step explanation:

If 10 and 2 are zeros, then (x - 10) and (x - 2) are factors of the quadratic.

Multiplying these factors together, we get

f(x) = x^2 - 12x + 20

The quadratic function with zeros at 10 and 2 is f(x) = (x - 10)(x - 2) which simplifies to f(x) = x² - 12x + 20.

Given that the zeros of a quadratic function are 10 and 2, we can write the function as f(x) = a(x - 10)(x - 2). Here, a is a non-zero coefficient. For simplicity, we can choose a as 1. This gives us the function as f(x) = (x - 10)(x - 2).

Expanding this gives us: f(x) = x² - 12x + 20.

This function represents a quadratic equation that zeros at x = 10 and x = 2. Such a function can be represented on a graph with f(x) and x as axes. The roots, 10 and 2, will be the x-coordinates at which the graph intersects the x-axis.

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The correct answer is:

The volume of the pyramid is approximately 111.5 cubic inches, rounded to the nearest tenth of a cubic inch.

To find the volume of a pyramid, we can use the formula:

[tex]\[ \text{Volume} = \frac{1}{3} \times \text{Base Area} \times \text{Height} \][/tex]

Given:

- Side length of the square base = 6.6 inches

- Height of the pyramid = 7.7 inches

First, let's find the area of the square base:

[tex]\[ \text{Area of square base} = \text{Side length}^2 \]\[ = 6.6^2 \]\[ = 43.56 \text{ square inches} \][/tex]

Now, substitute the values into the formula for the volume of a pyramid:

[tex]\[ \text{Volume} = \frac{1}{3} \times 43.56 \times 7.7 \]\[ \text{Volume} = \frac{1}{3} \times 334.632 \]\[ \text{Volume} = 111.544 \text{ cubic inches} \][/tex]

Rounding to the nearest tenth, the volume of the pyramid is approximately [tex]\( \boxed{111.5} \)[/tex] cubic inches.

The volume of the square-based pyramid is calculated using the formula for the volume of a pyramid, resulting in approximately 111.8 cubic inches after rounding to the nearest tenth.

The volume of a pyramid with a square base is calculated using the formula V = (1/3) x base area x height. First, calculate the base area, which is the side length squared. In this case, the base area is:

6.6 in x 6.6 in = 43.56 in²

Then, multiply the base area by the height and divide by 3 to find the volume:

V = (1/3) x 43.56 in² x 7.7 in
= 43.56 in² x 2.566 in
= 111.804 in³, which rounds to 111.8 in³ to the nearest tenth.

Therefore, the volume of the square-based pyramid is 111.8 in³.

Answer:

Parallelogram

Step-by-step explanation:

we will solve question using hints given in question

given

There two pairs of parallel opposite sides

1. since there are two pairs of  it means there 4 sides so the figure is quadrilateral

there are six possible types of quadrilateral possible

rectangle, square, rhombus, parallelogram,  kite or any irregular quadrilateral which has not any standard defined shape

2 . It is given that opposite sides are parallel

there are four such quadrilateral which have opposite side parallel

rectangle, square, rhombus, parallelogram

Thus these are possible figures

3. Four sides are not all the same length

Since square and rhombus have all the sides of same length thus we omit these probable figure

hence  probable figure left are

rectangle, parallelogram

4. figure has no right angles

since rectangle has right angle so it will also be omitted from the probable figure

Hence only probable figure left is parallelogram.

Parallelogram  is a quadrilateral with two two pairs of parallel opposite sides

and satisfying the above condition of

1. The four sides of not the same length

2. no right angles

Answer:

y = -6 * x^3

Step-by-step explanation:

We can model the new function as:

f(x) = ax^3

the function y = x^3 have positive values of y for positive values of x, and negative values of y for negative values of x.

As the negative values of x have positive values of y and vice-versa, the first change is to put a negative sign in front of x^3, so we know that 'a' is negative.

Then, for x=1 we have y = -6, so:

-6 = a*1^3

a = -6

So the equation of the transformed function is:

y = -6 * x^3

Answer:

length*width*height?

Step-by-step explanation:

Answer:

y=−2/3x+3

Step-by-step explanation:

I graphed the point and the equation given below. I used the same slope in the new equation as the original equation. The y-intercept is 3 because the line goes through (0,3).

Thus option C :  [tex]y = -\dfrac{2}{3}x + 3[/tex]  is correct.

Given that:

Equation of considered straight line:

[tex]y = -\dfrac{2}{3}x + 53[/tex]

Let the equation of the straight line that has to be found is given by:

[tex]y = mx + c[/tex]

It is given that the line is parallel to previous straight lines.

Which means  that slope of both the lines are same

or

[tex]m = -\dfrac{2}{3}[/tex]

Now since the second line passes through (-3,5), thus we have:

[tex]5 = -\dfrac{2}{3}\times -3 + c\\or\\c = 3[/tex]

Thus the needed equation of straight line is given by:

[tex]y = -\dfrac{2}{3}x + 3[/tex]

Thus option C :  [tex]y = -\dfrac{2}{3}x + 3[/tex]  is correct.

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Answer:

Brainliest

Step-by-step explanation:

A = 4.5

Area of triangle = Base(height)1/2

(3)(3)1/2 = 4.5

Answer:

4.5

Step-by-step explanation:

base(height)(1/2) = 3 x 3 x 1/2 = 4.5

Answer:

69 ounces of water

Step-by-step explanation:

Answer:

Step-by-step explanation:

its 69 ounces.  

i did the test and got 100% it works :)

Answer:

The answer is A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

12 tiles

Step-by-step explanation:

First we need to find the area of the parallelogram, which can be found by the product of the two dimensions.

If the parallelogram has 6 cm and 10 cm, the area is 6 * 10 = 60 cm2

Then to find how many tiles are needed to fill the area of 720 cm2. we can do a rule of three:

1 tile -> 60 cm2

x tiles -> 720 cm2

x = 720 / 60 = 12 tiles

12 three credit classes and two 2 credits

The number of two-credit and three-credit classes that students need to take is 5 and 10 respectively.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

As per the given,

Let's say the number of 2-credit classes is x while 3-credit classes are y.

Total classes, x + y = 15

Total credit 2x + 3y = 40

Solving both equations,

2(15 - y) + 3y = 40

30 - 2y + 3y = 40

30 + y = 40

y = 10

So, x = 15 - 10 = 5

Hence "The number of two-credit and three-credit classes that students need to take is 5 and 10 respectively".

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Answer: 0.0

Step-by-step explanation:

Answer:

0.65

Step-by-step explanation:

To get 13/20 to a decimal, the denominator needs to be multiplied by 5 to make it 100. If you multiply the denominator, you also have the multiply the numerator to make it equal. 13 x 5 is 65. The fraction is 65/100, which is 0.65 in decimal form.

13/20 as a decimal is 0.65.

To write 13/20 as a decimal, you can follow the hint provided.

First, we need to find a factor that will make the denominator 100. In this case, multiplying the denominator by 5 will give us 100.

So, we need to multiply both the numerator and the denominator of 13/20 by 5:

13/20 x 5/5 = 65/100

Now, we have 65/100 as the fraction.

To convert it to decimal form, divide the numerator by the denominator:

65 ÷ 100 = 0.65

Therefore, 13/20 as a decimal is 0.65.

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Answer:

If the area of a circle is 562 in², then the radius of the circle is about 13 inches long.

Step-by-step explanation:

[tex]A = r^2\pi[/tex]

[tex]r = \sqrt{\frac{A}{\pi } }[/tex]

[tex]r = \sqrt{\frac{562}{\pi } }[/tex]

[tex]r = \sqrt{179}[/tex]

[tex]r[/tex] ≈ [tex]13[/tex]

Answer:

13 inches

Step-by-step explanation:

The area of a circle is given by the equation A = πr²

To solve for r, we must first divide both sides by π to get [tex]\frac{A}{\pi }=r^{2}[/tex]

We must then take the square root of both sides to get r by itself

Doing so, we get [tex]r=\sqrt{\frac{A}{\pi } }[/tex]

Now plugging in our values that we have we can solve for r:

[tex]r=\sqrt{\frac{562}{\pi } }=13.37[/tex] and rounding to the nearest inch gives us 13 inches

Answer:

1. 55.23   2. 52.31   3. 27.49   4. 347.05   5. 7.57

Step-by-step explanation:

Pretty self explanatory when viewing my answers, there is no trick question within this problem, you simply add 10 to the first 3 numbers, but leave the range and standard deviation the same.

Mean = $55.23

Median = $52.31

Mode = $27.49

Range = $347.05

Standard Deviation = $7.57

Mean: The mean represents the average value of the dataset.

Median: Median is the middle value of the dataset in which the dataset is arranged in the ascending order or in descending order.

Mode: The mode represents the frequently occurring value in the dataset.

Range: Range is the difference between the largest and smallest value in the data set

Standard Deviation: Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists.

Given, information about online purchases:

Mean = $45.23

Median = $42.31

Mode = $17.49

Range = $347.05

Standard Deviation = $7.57

After adding Shipping Charge of $10 to each purchase:

Since $10 is added to each value then,

New Mean = (∑x + n($10) )/n = ∑x/n + n ($10)/n

New Mean = $45.23 + 10

New Mean = $55.23

To find median, $10 will be added to the value of median.

New Median = $42.31 + $10

New Median = $52.31

To find mode, $10 will be added to the value of mode.

New Mode = $17.49 + $10

New Mode = $27.49

Range and Standard Deviation don't change if we add same value to each data point, It will remain same.

New Range = $347.05

New Standard Deviation = $7.57

Hence, the new mean, new median and new mode are $10 increased than the original ones, there is no change in value of range and standard deviation.

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hi,  

you have  then :   2100 * 1.045 ^n  = 47 200

                                         1.045^n = 47200 /2100

                                          1.045^n = 472/21

                                                    n =  ln ( 472/21 )  / ln ( 1.045)

                                                    n ≈71 years

let's check :   2100 *1.045^70 = 45746,68   and  2100 *1.045^71 = 47805.28