A right rectangular prism has a length of 5 cm, a width of 4 cm, and a height of 3 cm. The dimensions of the prism are doubled. What is the surface area of the enlarged prism?

Answer:

Part 1) The solution of the system of equations is (2,-5)

Part 2) The solution of the system of equations is (2,4)

Step-by-step explanation:

Part 1) Linear combination

we have

[tex]3x+2y=-4[/tex] -----> equation A

[tex]4x-y=13[/tex] -----> equation B

Multiply equation B by 2 both sides

[tex]2(4x-y)=2*13[/tex]

[tex]8x-2y=26[/tex] -----> equation C

Adds equation A and equation C

[tex]3x+2y=-4\\8x-2y=26\\-------\\3x+8x=-4+26\\11x=22\\x=2[/tex]

Find the value of y

[tex]3(2)+2y=-4[/tex]

[tex]2y=-4-6[/tex]

[tex]2y=-10[/tex]

[tex]y=-5[/tex]

The solution of the system of equations is (2,-5)

Part 2) By graph

[tex]y=(1/2)x+3[/tex] -----> equation A

[tex]-3x+y=-2[/tex] -----> equation B

we know that

The solution of the system of equations is the intersection point both graphs

Using a graphing tool

The intersection point is (2,4)

therefore

The solution of the system of equations is the point (2,4)

see the attached figure

JK=KL

Substitute

8x+11= 14x-1

-8x -8x

----------------------

11 = 6x-1

+1 +1

-----------------------

(÷6)12=6x (÷6)

------------------------

x = 2

JK+KL= JL

Substitute

8x+11+14x-1

8(2) +11+14(2)-1

---------------------------

16+10+ 28

26+28

54

JL=54

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]

2,700 I'm pretty sure.

i believe it could be A. statistics is basically a collection of data, organizations, or an analysis. Im sorry if that is incorrect

Answer:

Step-by-step explanation:

I will take a to be 52.6 * 10^-9 The number should be 5.26 * 10^-8 so A is not the answer.

6.39*10^9 This one is correct.

0.12 * 10^-2 is not correct. It should be 1.2*10^-3

10 * 10 ^7 should be 1*10^8 so D is not correct.

The coefficient of scientific notation must  be a number between 1 and 10 and including 1 but not 10. This is written as 1 ≤x <10

Final answer:

To determine if a number is written in correct scientific notation, it must have a coefficient between 1 and 10, followed by 'x 10' raised to an exponent. For the options provided, the number 6.39 × 10⁹ fits the proper scientific notation format.

Explanation:

To be written in correct scientific notation, a number must be in the form of a single non-zero digit followed by a decimal and any subsequent digits, times a power of ten. Here are the requirements for correct scientific notation:

Let's evaluate the provided options and convert them to correct scientific notation if needed:

The number in correct scientific notation from the initial options given is 6.39 × 10⁹

Answer:

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

Answer:

C

Step-by-step explanation:

Answer:

c4:h1

Step-by-step explanation:

Answer:

c=4h

Step-by-step explanation:

Answer: infinitely many solutions

Step-by-step explanation:

First we want to arrange the linear equations such that its in the form

y = ax + b

For the first equation we subtract x from both sides to get:

y= -x + 1

For the second equation we divide by 3 to get:

y = -x + 1

These two equations are the same line so there are infinitely many solutions

The given system of equations have infinitely many solutions.

A solution of a system of equations is a list of numbers i.e. the value of variables that make all the of the equations true simultaneously.

What is slope intercept form of a line?

The slope intercept form of the line is y = mx + b, where m is the slope and b is y intercept.

If there is no intercept difference between them ( intercept of two lines or system of equations) , then the line coincide to each other.

A system of linear equations is a set of equations which are satisfied by the same set of variables.

The solution to a system of linear equation is the point at which the lines representing the linear equation intersect.

According to the given question

We have , a system of equations

[tex]x + y = 1[/tex]

⇒[tex]y = -x+1..(i)[/tex]

and

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

⇒[tex]y = -x + 1..(ii)[/tex]

From equation (i) and (ii) we can see that there is no any intercept difference for the given system of equation. They have same slope and same intercept.

Therefore, the given system of linear equations coincide to each other, so they have infinitely many solutions.

Learn more about the system of  linear equations here:

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Answer: 35

Step-by-step explanation: So first we take 50 and multiply it by 70%. In decimal form, 70%=0.70. This should give you 35 players that are right handed if you multiply 50*0.70

Answer:

B: after 5 months

Step-by-step explanation:

Make to equations from the given information

Let y be the cost, and let x be the number of months

Gym 1:  y = 35.65x + 75

Gym 2:  y = 17.95x + 164

It wants to know when the cost will be the same, so set the 2 equations equal to each other and solve..

35.65x + 75 = 17.95x + 164

17.70x = 89              (subtract 17.95x and 75 from both sides)

  x = 5.02                (divide both sides by 17.7)

So after 5.02 months the cost will be equal, since 5.02 is greater than 5 months, the answer is after 5 months, which is B

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:

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]

“Same signs add and keep”

Negative minus negative you add them and keep the negative sign

-1 12/12

12/12= 1

=-2

Or make it into an improper fraction -1 5/12 is also -17/12

17+7= 24

-24/12 = -2

Answer:

-2

Step-by-step explanation:

You need to understand two things about this subtraction. One thing is subtracting from a negative number. The other thing is doing an operation with mixed numerals.

Let's start with subtracting from a negative number.

To subtract, you add the opposite (also called the additive inverse). For example, 4 - 2 is the same as 4 + (-2). In other words, to subtract 2 from 4, you add the opposite of 2 to 4. Now you need to rules of addition of signed numbers.

Let's look at your problem.

-1 5/12 - 7/12

You are subtracting 7/12 from the negative mixed numeral -1 5/12.

Change the subtraction into an addition of the reciprocal. The opposite of 7/12 is -7/12, so to subtract 7/12, you add -7/12.

-1 5/12 - 7/12 =

= -1 5/12 + (-7/12)

Now you are adding two negative numbers.

To add two negative numbers, add their absolute values (meaning ignore the negative signs, just add the numbers), and then the answer is negative.

You need to add

1 5/12 + 7/12

Add the fractional parts: 5/12 + 7/12 = 12/12 = 1

1 5/12 + 7/12 = 1 + 12/12 = 1 + 1 = 2

Now that we added the absolute values, and we have a sum of 2, the final answer for the original problem is -2 since we were adding two negative numbers.

4/3 or it can be turned into a repeating decimal 1.333333....

Answer:

4 2/3

Step-by-step explanation:

First borrow the 6 for the 1/3. Now, it becomes 4/3. Then subtract. (6 4/3 - 1 2/3) which is 4 2/3.

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

Learn more about the triangle visit;

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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:

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:

15

Step-by-step explanation:

The highest exponent in a polynomial function is the degree. The degree is also the greatest number of roots available. Since roots come from the factors of the function, as each factor is multiplied the degree increases. If the degree is 15 the greatest number of factors or roots it can have is 15.

Answer: The correct answer is C

Step-by-step explanation: since the 8 has a less than or equal too sign the bubble will be filled, and since the 6 has just a greater than sign the bubble is left empty. Also all the numbers are postive so the line would be on the postive side of the line graph.

Answer:

9 units squared

Step-by-step explanation:

The figure is a rectangle with length 3 and height 3. See attached picture. The area is found using A = b*h = 3*3 = 9.

i believe the answer is concave

9) Answer:

Concave

Step-by-step explanation:

The figure has lines that will cross all the way to the other end if it continues, which means that it's self-intersecting.

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:

        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:

A negative number squared is a positive number. Squaring is multiplying a number by its self.

Step-by-step explanation:

X^2 = x * x

Squaring something is just multiplying it by its self.

A negative times a negative = a positive

A positive times a positive = a positive

A negative times a positive = a negative

A positive times a negative = a negative

- * - = +

+ * + = +

- * + = -

+ * - = -

Here is how my 6th grade teacher helped me to remember it:

If something bad (-) happens to a bad guy (-), that is good.

If something good (+) happens to a good guy (+), that is good.

If something bad (-) happens to a good guy (+), that is bad.

If something good (+) happens to a bad guy (-), that is bad.

I hope I helped!

Let me know if you need anything else!

~ Zoe

Final answer:

Squaring a negative number in mathematics always results in a positive number due to the rule that the product of two negative numbers is positive. Complex numbers introduce the concept of imaginary units, allowing for square roots of negative numbers like the square roots of -1, which are i and -i.

Explanation:

Understanding the Square of a Negative Number

When you square a negative number, the result is positive. This is because according to the rules of multiplication, the product of two negative numbers is positive. For example, the square of -4 is (-4) x (-4), which equals 16. Hence, squaring a negative number always yields a positive result.

Complex Numbers and the Imaginary Unit

In mathematics, we also encounter situations where we need to consider the square of a number that is not positive. This is particularly relevant in the field of complex numbers. Complex numbers include the imaginary unit i, which is defined such that i² = -1. Complex numbers allow for the square roots of negative numbers to exist; for instance, the square roots of -1 are i and -i.

The Significance of the Square of a Negative Number

The concept of squaring a negative number and the resultant positive number is utilized in various branches of mathematics and physics. For instance, in spacetime geometry applied in physics, squaring a negative number can relate to intervals or measurements that factor into theories of relativity.

Answer:

-2

Step-by-step explanation:

the denominator is the bottom part, under the line of the fraction

the answer will be: -2 because the radicals cancel each other out, making rad 3 becomes just 3 and when you multiply it all out, you'll get 1-3 which equals -2

ill try my best

Add the two angles you already know (for example, 50 and 45), then, with the sum of the two angles (95), subtract it from 180 (180-95) and there's your answer. How do I find the third angle of a triangle if the two known angles are 35 and 40?

The measure of any exterior angle of a triangle is equal to the sum of the measures of its two interior opposite angles. The sum of the three angles of a triangle is 180°. ... The sum of the lengths of any two sides of a triangle is always greater than the length of the third side.

all i got (:

Answer:

The largest angle has a measure of 82 degrees.  

Step-by-step explanation:

Since the two angles are equal they represent x. Then the largest angle is 33 degrees more so that is represented as x+33. Then you get your equation: 3x+33=180(because each triangle has 180 degrees). Subtract 33 from both sides to get x by itself and you get 3x=147. Then to simplify divide 3 from both sides and you get 49 degrees for x. Since it says in the beginning that the largest angle is the value of x+33 we know that the largest angle is 82 degrees.

4) - 4w^3

3rd answer

5)4th answer

6)4th answer

Answer:

4) - 4w^3

3rd answer

5)4th answer

6)4th answer

Step-by-step explanation:

I had the same thing

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.

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