This prism has a surface area of 172 cm². What would the surface of the prism be if each dimension was tripled? ( Scale factor is 3 )

keeping in mind that two years is 24 months, and we know that cyclically it's losing 25% every 6 months.

[tex]\bf \textit{Periodic/Cyclical Exponential Decay} \\\\ A=P(1 - r)^{\frac{t}{c}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &50\\ r=rate\to 25\%\to \frac{25}{100}\dotfill &0.25\\ t=\textit{elapsed time}\dotfill &24\\ c=period\dotfill &6 \end{cases} \\\\\\ A=50(1 - 0.25)^{\frac{24}{6}}\implies A=50(0.75)^4\implies A\approx 15.82[/tex]

Answer:

(3,2)

Step-by-step explanation:

Make sure you use substitution to solve the equation for either x or y first. Then once you have the value of one, plug it into the equation to solve for the value of the other.

The answer is the third one.

Hello! your answer is going to be 64 square inches.

The equation to get this is as listed:

[tex]Area = \frac{Base1+Base 2}{2} * Height[/tex]

I hope this helps, and have a nice day!

Answer:

a = 64 ft²

Step-by-step explanation:

a = a + b   (h)

       2

a = 4 + 12/2 (8)

a = 16/2 (8)

a = 8 (8)

a = 64 ft²

Answer:

1/2

Step-by-step explanation:

Triangle FGH was dilated to create triangle ABC

The image is a reduction so scale factor is between 0 and 1

2.5/5 = 3.5/7 = 4.3 / 8.6

= 0.5  

= 1/2

Answer

1/2

The scale factor of the dilation is,

⇒ 1 / 2

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Triangle FGH was dilated to create triangle ABC.

Hence, For scale factor,

Since, Triangle FGH was dilated to create triangle ABC

So, We get;

The scale factor is,

2.5/5 = 3.5/7 = 4.3 / 8.6

2.5 / 5 = 1/2

3.5/7 = 1/2

4.3/8.6 = 1/2

Therefore, The scale factor of the dilation is,

⇒ 1 / 2

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You would have to do 18x2 then 14x2.

Answer:

Step-by-step explanation:

Surface area = [tex]lw+l\sqrt{(\frac{w}{2})^2+h^2}+w\sqrt{(\frac{l}{2})^2+h^2}[/tex]

just put the values in the formula h=18,w=14,l=14

Answer:

Alexis and Jon reads at the same rate, 0.67 page by min

Step-by-step explanation:

Rate Alexis = 30/45 pages/min = 0.67 page by min

Rate Jon = 40/60 pages/min = 0.67 page by min

Rate Sal = 45/90 = 0.5 page by min

Rate Andre = 15/25 = 0.6 page by min

Then

Alexis and Jon reads at the same rate, 0.67 page by min

Best regards

2,700 I'm pretty sure.

Hey there!

Let's start by making an equation to represent this.

500 - 3a = 266

Reduced by is the same as subtracting, and a represents age.

Subtract 500 from both sides.

-3a = -234

Divide each side by -3.

a = 78

Check.

500 - 3(78) = 266

500 - 234 = 266

266 = 266

You are 78 years old.

Hope this helps!

Answer: Age=78

Step-by-step explanation:

500-(3xAge)=266

500-266=3xAge

(500-266)/3 = Age

Answer:

height = 4 in

Step-by-step explanation:

The area (A) of a parallelogram is calculated using the formula

A = base × height ← substitute values

48 = 12 × height ( divide both sides by 12 )

4 = height

Is this a scatterproblem?

If so then 350×((1.5)^4)^50 would be an answer?

Answer:

the answer is 739.91

Step-by-step explanation:

i put this problem for my question and got it right on the test.

good luck!

Answer:

in math it should be Interquartile Range

Step-by-step explanation:

Answer:

Interquartile range

Step-by-step explanation:

In descriptive statistics, the interquartile range, also called the midspread or middle 50%, or technically H-spread, is a measure of statistical dispersion, being equal to the difference between 75th and 25th percentiles, or between upper and lower quartiles, IQR = Q₃ − Q₁.

Answer:

y = - 111

Step-by-step explanation:

Substitute x = 5 into the quadratic for y

y = - 4(5)² - 3(5) + 4 = - 100 - 15 + 4 = - 111

ANSWER

[tex](g\circ f)( - 3) = 1[/tex]

EXPLANATION

The given functions are

[tex]f(x) = x + 4[/tex]

and

[tex]g(x) = {x}^{3} [/tex]

The composite function,

[tex](g\circ f)(x) = g(f(x))[/tex]

[tex](g\circ f)(x) = g(x + 4)[/tex]

[tex](g\circ f)(x) = ( {x + 4)}^{3} [/tex]

We now substitute x=-3 to obtain:

[tex](g\circ f)( - 3) = ( { - 3 + 4)}^{3} [/tex]

[tex](g\circ f)( - 3) = ( {1)}^{3} = 1[/tex]

Answer:

The answer is 1

Answer:

 A. The surface area stays the same, but the number representing the surface area increases.

Answer:

C

Step-by-step explanation:

Start with

[tex]\dfrac{n}{5}=\dfrac{45}{75}[/tex]

Multiply both sides by 5:

[tex]n = \dfrac{45\cdot 5}{75} = \dfrac{45}{15} = 3[/tex]

Answer:

n = [tex]\frac{9}{5}[/tex]

Step-by-step explanation:

Simplify the fraction on the right side

[tex]\frac{n}{5}[/tex] = [tex]\frac{45}{75}[/tex] = [tex]\frac{3}{5}[/tex] ( cross-  multiply )

5n = 15 ( divide both sides by 5 )

n = 3

Answer:

7.1

Step-by-step explanation:

Exponential Functions:

y=ab^x

y=ab  

x

a=\text{starting value = }570

a=starting value = 570

r=\text{rate = }26.9\% = 0.269

r=rate = 26.9%=0.269

\text{Exponential Decay:}

Exponential Decay:

b=1-r=1-0.269=0.731

b=1−r=1−0.269=0.731

\text{Write Exponential Function:}

Write Exponential Function:

y=570(0.731)^x

y=570(0.731)  

x

Put it all together

\text{Plug in time for x:}

Plug in time for x:

y=570(0.731)^{14}

y=570(0.731)  

14

y= 7.091174

y=7.091174

Evaluate

y\approx 7.1

y≈7.1

round

To calculate the remaining amount of an element undergoing exponential decay, use the formula A = A0 * (1 - r)^t, where A is the remaining amount, A0 is the initial amount, r is the decay rate per minute, and t is the time in minutes. In this case, approximately 12.3 grams of the element is remaining after 14 minutes.

To calculate the amount of the element remaining after 14 minutes, we need to use the formula for exponential decay, which is A = A0 * (1 - r)t, where A is the remaining amount, A0 is the initial amount, r is the decay rate per minute (in decimal form), and t is the time in minutes.

In this case, the initial amount is 570 grams, the decay rate is 26.9% or 0.269 per minute, and the time is 14 minutes.

Plugging these values into the formula, we get:

A = 570 * (1 - 0.269)14 = 570 * (0.731)14 = 570 * 0.0221 = 12.27 grams.

Therefore, approximately 12.3 grams of the element is remaining after 14 minutes.

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Answer:

8.54

Step-by-step explanation:

To find the distance between 2 points

d = sqrt( y2-y1)^2 + (x2-x1)^2)

where (x1,y1) and (x2,y2) are the two points

d = sqrt((5--3)^2+ (-1--4)^2)

  = sqrt((5+3)^2+ (-1+4)^2)

  =  sqrt((8)^2+ (3)^2)

   = sqrt(64+ 9)

    =sqrt (73)

    =8.544003745

Rounding to the nearest hundredth

   =8.54

ANSWER

The distance between the two points is 8.54 to the nearest hundredth.

EXPLANATION

We want to find the distance between the the points (-4, -3) and (-1, 5).

We use the distance formula;

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]d=\sqrt{( - 1 - -4)^2+(5- - 3)^2}[/tex]

[tex]d=\sqrt{( 3)^2+(8)^2}[/tex]

[tex]d=\sqrt{9+64}[/tex]

[tex]d = \sqrt{73} [/tex]

[tex]d = 8.544[/tex]

To the nearest hundredth the distance is 8.54 units.

Answer:

3 and 4

Step-by-step explanation:

On a number line, 3 2/10 is greater than 3, by 1/5, but less than 4, by 4/5.

3 and 4 are two whole numbers that come after each other.

Answer:

3 and 4

Step-by-step explanation:

3 2/10 is in-between the numbers 3 and 4

Answer:

x<−3

Step-by-step explanation:

−3x−4>5

Step 1: Add 4 to both sides.

−3x−4+4>5+4

−3x>9

Step 2: Divide both sides by -3.

−3x

−3

>

9

−3

x<−3

Answer:

x < -3

Step-by-step explanation:

We must isolate x.

Start by adding 4 to both sides, obtaining -3x > 9.

Next, divide both sides by -3, remembering to reverse the direction of the > symbol:

-3x       9

------ > -----  ↔  x < 9/(-3), or x < -3

 -3       -3

Answer: 52 minutes, 416 links

Step-by-step explanation:

8*20=160

13-8=5

160/5=32

32+20=52

52*8=416

Answer:

best bet is c

The correct first step is : " add the 2 equations together "

An equation is a mathematical statement with an '=' symbol between two expressions that have equal values.

Here, given equations are

  4x - 3y = -10

  2x + 3y = 4

In given equation the coefficient of y is equal with opposite sign, so for simplification of these equation we need to add these equation.

Thus, the correct first step is : " add the 2 equations together "

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Answer:

Choice D; 833

Step-by-step explanation:

The best prediction for the number of bacteria on day 6 will be given by substituting x with 6 in the exponential growth model;

[tex]y=79.31(1.48)^{x}\\y=79.31(1.48)^{6}\\y=833[/tex]

Answer:

        15·9

z = --------- = 135/4

         4

Step-by-step explanation:

The general formula here is as follows:

        ky

z = ---------

         x

We must find the value of the constant of proportionality.  To do this, subst. 6 for x, 2 for y and 5 for z and compute k:

        k·2

5 = ---------

         6

Multiplying both sides by 6 results in 30 = 2k.

Thus, k = 30/2, or k = 15.

Our formula becomes:

        15y

z = ---------

         x

if x = 4 and y = 9, we get:

        15·9

z = --------- = 135/4

         4

Answer:

[tex]z=33.75[/tex]

Step-by-step explanation:

We are given that z varies inversely with x and directly with y when x=6 and y=2 then z=5

We have to find the value of z when x=4 and y=9

According to question

[tex]z\propto\frac{1}{x}[/tex]

and [tex]z\proptoy[/tex]

Therefore, we have [tex]z\propto\frac{y}{x}[/tex]

[tex]z=k\frac{y}{x}[/tex]

k=proportionality constant

Substitute x=6 , y=2 and z=5 then we get

[tex]5=k\times \frac{2}{6}[/tex]

[tex]5=\frac{k}{3}[/tex]

[tex]k=5\times3[/tex]

By division  poperty of equality

k=15

Now, substitute the value x=4,y=9 and k=15 then the value of z

[tex]z=15\times \frac{9}{4}[/tex]

[tex]z=\frac{135}{4}[/tex]

[tex]z==33.75[/tex]

Answer:

c4:h1

Step-by-step explanation:

Answer:

c=4h

Step-by-step explanation:

Final answer:

The formula for calculating annual insurance premiums is based on several factors, including historical data, statistical analysis, and risk assessment.

Explanation:

The formula for calculating annual insurance premiums is based on several factors. Insurance companies use a combination of historical data, statistical analysis, and risk assessment to determine the premium amount. The general formula for calculating insurance premiums is:

Premium = (Average Person's Claims + Costs of Running the Company + Firm's Profits) / Number of Insured Individuals

For example, if there are 100 drivers and the insurance company needs to collect $186,000 to cover the costs of accidents, each driver would pay a premium of $1,860 per year.

The formula for calculating annual insurance premiums is Annual Premium = Base Rate [tex]\times[/tex] Coverage Amount [tex]\times[/tex] Adjustment Factors.

The formula for calculating annual insurance premiums is not a one-size-fits-all equation because it depends on various factors such as the type of insurance, the coverage amount, the deductible, the policyholder's risk profile, and other personal and policy-specific details.

However, a general form of the formula that can be used as a starting point is:

[tex]\[ \text{Annual Premium} = \text{Base Rate} \times \text{Coverage Amount} \times \text{Adjustment Factors} \][/tex]

Here, the base rate is the initial cost of insurance per unit of coverage, which is determined by the insurer based on the type of insurance and the average risk associated with it.

The coverage amount is the total amount of coverage the policyholder is purchasing. Adjustment factors are multipliers that reflect the policyholder's individual risk factors, such as age, health, driving record, credit score, etc.

Answer:

3.60

Step-by-step explanation

you need to turn it to 100 then move the decimal 2 places to the left

Answer:

A. 3.6

Step-by-step explanation:

Step-by-step explanation:

[tex]1)\ \dfrac{10}{100}=0.10=0.1\\\\2)\ \dfrac{5}{10}=0.5\\\\3)\ \dfrac{6}{10}=0.6\\\\4)\ \dfrac{93}{100}=0.93\\\\5)\ \dfrac{1}{10}=0.1\\\\6)\ \dfrac{40}{100}=0.40=0.4\\\\7)\ \dfrac{56}{100}=0.56\\\\8)\ \dfrac{7}{10}=0.7\\\\9)\ \dfrac{3}{10}=0.3\\\\10)\ \dfrac{98}{100}=0.98\\\\11)\ \dfrac{4}{10}=0.4\\\\12)\ \dfrac{78}{100}=0.78[/tex]

Answer:

2,400 cm²

Step-by-step explanation:

You can solve for x because you know that 40cm=x²+4cm:

36 cm = x²

x = 6cm.

Therefore the width is 2(6)²-12, which is 60cm.

So the area is 40 cm x 60 cm, which is 2,400 cm².

Answer:

24 is the mode

Step-by-step explanation:

Mode is the number that is most often seen.

18 is seen 1 time

24 is seen 3 times

25 is seen 1 time

37 is seen 2 times

46 is seen 1 time

24 is the mode because it is seen the most often.

Answer:

24

Step-by-step explanation:

The mode is the number that appears the most times in a data set.  Here, 24 occurs the most (3 times)

Yes, I cannot draw a line because this is online. Sorry