Stephanie bought 200 stickers. That is 4 times more than Jenny bought. How many stickers (s) did Jenny buy?

The half-life of the given exponential function is of 346.57 years.

It is the value of t when A(t) = 0.5A(0).

In this problem, the equation is:

\(A(t) = A(0)e^{-0.002t}\).

In which t is measured in years.

Hence the half-life is found as follows:

\(0.5A(0) = A(0)e^{-0.002t}\)

\(e^{-0.002t} = 0.5\)

\(\ln{e^{-0.002t}} = \ln{0.5}\)

\(0.002t = -\ln{0.5}\)

\(t = -\frac{\ln{0.5}}{0.002}\)

t = 346.57 years.

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Answer:

six x squared plus seven

Step-by-step explanation:

um..

Answer:

The way to write 6x² + 7 in words is six x squared plus seven

Step-by-step explanation:

I hope your happy with your answer

Answer:

no we can't

Step-by-step explanation:

(-4)÷(-2). (-16÷(-2)

2. 8

\(\longrightarrow{\blue{[( - 16)\div 4) \div ( - 2)] \:is\:not\:equal\:to\:( - 16) \div [4 \div( - 2) ] }}\) 

\(\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}\)

\([( - 16 )\div 4) \div ( - 2)] = ( - 16) \div [4 \div( - 2) ]\)

Let us first solve for L. H. S.

\( = [( - 16 )\div 4) \div ( - 2)]\)

\( = [ (\frac{ - 16}{4} )\div ( - 2)]\)

\( = \frac{( - 4)}{( - 2)} \)

\( = 2\)

Now, R. H S.

\(( - 16) \div [4 \div ( - 2)]\)

\( = \frac{ - 16}{ - 2} \)

\( = 8\)

\(\sf\purple{L. H. S.\: ≠ \:R. H. S. }\)

Hence, \([( - 16) \div 4) \div( - 2)] ≠(-16)\div [4 \div( - 2) ]\)

\(\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}\)

Let's assume x gallons of milk containing 8% butterfat and y gallons of milk containing 2% butterfat are used.

The total amount of milk is x + y gallons, and we want it to be equal to 258 gallons.

To determine the amount of butterfat in the mixture, we can multiply the volume of each type of milk by its respective butterfat percentage and sum them up.

For milk containing 8% butterfat, the amount of butterfat is 0.08x (8% is equivalent to 0.08 as a decimal).

For milk containing 2% butterfat, the amount of butterfat is 0.02y (2% is equivalent to 0.02 as a decimal).

Since we want the final mixture to contain 7% butterfat, we can set up the following equation:

0.08x + 0.02y = 0.07(258)

Simplifying the equation, we have:

0.08x + 0.02y = 18.06

To solve for x and y, we need another equation. Since the total amount of milk is x + y = 258, we can rearrange it to y = 258 - x.

Substituting this value into the equation above, we get:

0.08x + 0.02(258 - x) = 18.06

Solving this equation will give us the values of x and y, which represent the gallons of milk containing 8% butterfat and 2% butterfat, respectively, needed to obtain the desired 258 gallons.

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Answer:

ring volume is 12cm3

Step-by-step explanation:

Lr ccm=volume of water and ring - Volume of water

ring cubic centimeters =x

x=9.2cm*4.5cm*7cm - 8.8cm*4.5cm*7cm

x=289.2cm3 - 277.2cm3

x=12cm3

Hey there! I'm happy to help!

We see that light travels 186,000 miles per second. How many miles is this per minute. Well, there are 60 seconds a minute, so we multiply by 60!

186,000×60=11160000

And there are 60 minutes in an hour, so we multiply by sixty again!

11160000×60=669600000

Now, we need to write this in scientific notation. To do this, we move the decimal back enough places to have a one digit number, and we multiply that one digit number by 10 to the power of how many places you moved the decimal back.

In the number 669600000 we can move the decimal point back 8 times which gives us 6.696 (we don't need the zeroes after a decimal) multiplied by 10 to the 8th power because we moved the decimal back eight places.

This can be written as 6.696×10^8, which is closest to the answer option 6.7×10^8 miles.

Have a wonderful day! :D

An equation to find the total cost of y of x rides is y = 3x.

The cost to ride 10 rides is equal to $15.

In order to write an equation that model this situation, we would assign variables to the number of tickets and the total cost respectively, and then translate the word problem into algebraic equation as follows:

Next, we would translate the word problem into an algebraic equation based on the fact that each ride requires 3 tickets and a ticket costs $1.50 as follows;

y = 3x

For the cost of 10 rides, we have:

y = 10x

When x = 1.50, the total cost is given by:

y = 10(1.50)

y = $15.

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The correct option for the expression (5 + 9) + 10 showing the associative property is  5+ (9 + 10) = 5 + 19 = 24

The associative property of addition states that the sum of three or more numbers remains the same regardless of how the numbers are grouped.

Given that, an expression, (5 + 9) + 10

According to associative property of addition, (a+b)+c = a+(b+c)

Therefore,

(5 + 9) + 10 = 5+(9+10)

= 5+19

= 24

Hence, the correct option for the expression (5 + 9) + 10 showing the associative property is  5+ (9 + 10) = 5 + 19 = 24

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Answer:

\(\frac{6.3cm}{18cm}=0.35\)

or 35%

cos(70°)=0.34

The difference in the result is because of the precision of the measurements.

Step-by-step explanation:

First, we can start by drawing a horizontal line in our sheet of paper and pick one point on the line. (Picture 1)

Next we take our protractor and measure 70°. (Picture 2)

Then we draw a line that measures 18cm with our ruler from the point we selected on the horizontal line to the point we measured with the protractor. (Picture 3)

Next we take our square and measure a 90° angle from the end of the line we drew on the previous step to the horizontal line and connect the horizontal line to the ending point of the hypotenuse. (Picture 4)

And that will be our triangle. Next we can measure the adjascent side to the 70° angle (Picture 6) which turned out to be 6.3cm which can now be used to calculate the ratio as a percentage. (Picture 5)

\(ratio=\frac{adjascent}{hypotenuse}=\frac{6.3cm}{18cm}=0.35\)

which is the same as a 35%.

If we calculated the cos(70°) with our calculator we would get:

cos(70°)=0.34

As you may see our measurements were pretty precise, the difference in answers will depend on the precision of our measurements.

Answer:

64 cans

Step-by-step explanation:

Given

\(Gallon = 8\)

Required

Determine the equivalent in pints

The standard unit of conversion;

\(1 gallon = 8 pints\)

Multiply both sides by 8

\(8 * 1\ gallon = 8 * 8\ pints\)

\(8\ gallons = 64\ pints\)

Hence, the artist will need 64 cans

Dylan should choose Ball B which having lowest density.

What is volume of spere?

The volume of a sphere is calculated using the formula volume = 4/3πr³ where r is the sphere's radius.

Given that:

Ball A = diameter 7cm, mass 1.742kg

Ball B = diameter 6cm, mass 1.040kg

As we know that,

volume of a sphere =4/3πr³

1) For Ball A,

volume of a Ball A = 4/3π(3.5)³

volume of a Ball A = 179.6 cm³

given mass for Ball A is 1.742 kg = 1742 g.

So, Density = \(\frac{mass}{volume}\)

     Density of Ball A will be 9.7 g/cm³.

2) For Ball B,

volume of a Ball B = 4/3π(3)³

volume of a Ball B = 113.11 cm³

given mass for Ball B is 1.040 kg = 1O40 g.

So, Density = \(\frac{mass}{volume}\)

     Density of Ball B will be 9.19 g/cm³.

By comparing density of both balls,

Density of Ball A > Density of Ball B

Hence, Dylan should choose Ball B which having lowest density.

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Answer:

The answer to your question is A. Yes, because the total will be $3.27

0.35(2)+0.99(2)+0.59≤4.

Then you multiply: .35(2)=.70. .99(2)=1.98.

Then add: .70+1.98+.59=3.27, so yes she can since 3.27 is less than 4 :)

Step-by-step explanation:

I hope this helps and have a good day!

Answer:

Step-by-step explanation:

hello :

the system is : x+y+z=-6.....(1)

                      x-y+3z=-18.....(2)

                   2x+2y+2z=-8.....(3)

use (3): 2(x+y+z) = - 8    so : x+y+z = -4

use (1) : x+y +z = -6          -6=-4 false

no solutions

Answer:

(d) 24 cm

Step-by-step explanation:

When we're given the three sides of a triangle, one formula we can use for perimeter of a triangle is:

P = s1 + s2 + s3, where

P = 3 + 9 + 12

P = 12 + 12

P = 24

Thus, the perimeter of the triangle is 24 cm

Answer:

16

Step-by-step explanation:

y/4=4

y=16

The transformations of f(x) are (a) a horizontal shrink by a factor of 1/4,

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

f(x) = x²

g(x) = (4x)²

Mathematically, these equations can be represented as

g(x) = f(4x)

The above equations implies that, we have the transformation to be:

The 4x implies that the function f(x) is horizontally shrunk by a factor of 1/4

Hence, the transformed function is (a)

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Volume of the rectangular prism = 432 cubic inches

The given shape is a rectangular prism:

Length = 6 inches

Width = 6 inches

Height = 12 inches

Volume of the rectangular prism = Length x Width x height

Volume of the rectangular prism = 6 x 6 x 12

Volume of the rectangular prism = 432 cubic inches

The maximum price you can offer for a home is approximately $82,352.94 for a 17% down payment.

To determine the maximum price you can offer for a home, you need to calculate 17% of the total price, which will be your down payment of $14,000.

Let's assume the maximum price you can offer for the home is P dollars.

According to the given information, the down payment requirement is 17% of the total price. So, we can set up the following equation:

\(0.17P = $14,000\)

To solve for P, divide both sides of the equation by 0.17:

P = $14,000 / 0.17

Calculating this expression, we find:

P ≈ $82,352.94

Therefore, the maximum price you can offer for a home in order to have enough money for the 17% down payment is approximately $82,352.94.

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Answer:

Lion area: 60

Lion Perimeter: 34

Tiger Area: 60

Tiger perimeter: 64

Step-by-step explanation:

Answer: $43.20

Step-by-step explanation:

First, we are going to take the price of the box lunch ($6.50)

Now we are going to multiply it by 5

$6.50x5=$32.50

Now we take the total cost of the trip and subtract it by $32.50

$248.50-$32.50=216

now divide 216 by 5

216/5

$43.20

Answer:the problem is kinda confusing on the (three-cent five-cent and 10-cent lollipops) part ) but if she needs to spend 1$ exactly the answer is 14( reason show below.)

Step-by-step explanation

First I did

(3x5=15)

then I did

(15x4=60)

Then

60+15+15=90

Lastly

90+5+5=100(aka 1$)

In conclusion she can buy 14

Answer:

A polygon is a multi sided shape

Step-by-step explanation:

I know that because poly means multiple

Answer:

A polygon is a flat, 2D shape with straight sides that is fully closed. The sides must be straight.

Polygons can have any number of sides.

good luck, i hope this helps :)

Step-by-step explanation:

Given that,

The quadratic equation that models the ball's height above the ground h, t seconds after it was thrown is given by :

\(h=-16t^2+108t+28\) ...(1)

(a) For maximum height, put dh/dt = 0

So,

\(\dfrac{d(h)}{dt}=\dfrac{d}{dt}(-16t^2+108t+28)=0\\\\-32t+108=0\\\\t=\dfrac{108}{32}=3.37\ s\)

Put the value of t in equation (1).

So,

\(h=-16(3.37)^2+108(3.37)+28\\\\h=210.24\ ft\)

(b) When the ball reaches the ground,

h = 0

So,

\(-16t^2+108t+28=0\\\\t=7\ s\)

So, the ball hits the ground in 7 seconds.

The value of the the integer is 1 or 5

An integer is a whole number that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, . 09, and 5,643.1

Let's represent the integer by x, therefore

six times an integer minus 5 equals the square of the integer can be put into equation as:

6x-5 = x²

x² - 6x +5 = 0

x²-5x - x + 5 = 0

(x²-5x)(-x+5) = 0

x(x-5) - 1 ( x -5) = 0

(x-1)(x-5) = 0

therefore x-1 = 0 or x-5 = 0

x = 1 or 5

therefore the value of the integer can either be 5 or 1

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Answer:

A=4 -3 5.3748362

Step-by-step explanation:

Answer: 1 m is 9 there are 7 m so 7X9 =63

Step-by-step explanation:

Answer:

the answer would be 9

expination:

because 63 divide by 7 would be 9

The domain of the function above is [-2, 3].

The range of the function above is [-2.5, 2].

The intervals over which the function is increasing is [-2, 1.5] U [-2.5, 2].

The intervals over which the function is decreasing is [1.5, -2.5].

In Mathematics and Geometry, a domain refers to the set of all real numbers for which a particular function is defined.

Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph of this rational expression (function)   shown in the image attached below, we can reasonably and logically deduce the following domain and range:

Domain = [-2, 3] or -2 ≤ x ≤ 3.

Range = [-2.5, 2] or -2.5 ≤ y ≤ 2.

Additionally, the intervals over which the function is increases over the interval [-2, 1.5] and [-2.5, 2], while it decreases over the interval [1.5, -2.5].

In conclusion, the given function is not constant over any interval.

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Hello !

Answer :

Explanation :

\( \to \boxed{ ({x}^{a}) {}^{b} = {x}^{ab} } \)

\( \to \boxed{ {x}^{ \frac{1}{n} } {}^{} = \sqrt[n]{x} } \)

\( ({x}^{4} ) {}^{ - \frac{2}{3} } = {x}^{- \frac{2}{3} \times 4} \\ \boxed{= {x}^{ - \frac{8}{3} } } \\ \boxed{= \sqrt[3]{ {x}^{ - 8} }} \\ \boxed{ = \sqrt[3]{ ({x}^{ 4}) {}^{ - 2} }}\)

Have a nice day ;)

To determine the function that models the data, we need to analyze the relationship between the cost per photo and the number of photos a customer buys. From the given information, we can observe that the cost per photo varies inversely with the number of photos. This implies that as the number of photos increases, the cost per photo decreases, and vice versa.

To model this relationship, we can use the inverse variation equation, which can be expressed as:

y = k/x

Here, y represents the cost per photo, x represents the number of photos, and k is the constant of variation.

Let's examine the data given in the table to find the value of k:

Number of Photos (x) Cost per Photo (y)

10 10

25 4

50 2

100 1

We can see that as the number of photos increases, the cost per photo decreases. We can use any pair of values from the table to solve for k. Let's choose the pair (50, 2):

2 = k/50

Solving for k:

k = 2 * 50 = 100

Now that we have the value of k, we can write the function that models the data:

y = 100/x

Therefore, the function that models the data is y = 100/x, where y represents the cost per photo and x represents the number of photos a customer buys.