Find the surface area of the rectangular prism shown.

Answer:

round 494 is 500 round 13 to 10

Step-by-step explanation:

Answer:

| x + 4 | = 1/2

Step-by-step explanation:

We want the numbers on the number line that are at a distance of 1/2 from "-4".

We can express such via the absolute value as :

| x - (-4) | = 1/2

| x + 4 | = 1/2

y=x+3

hope this helps!

Answer:

8 pigs

Step-by-step explanation:

Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.

Suppose all animals are chickens.

Total no. of feet = 26 chickens × 2 feet

                           = 52 feet

Difference in total no. of feet = 68 feet - 52 feet

                                                = 16 feet

Difference in no. of feet each animal has

= 4 feet (a pig) - 2 feet (a chicken)

= 2 feet

∴ No. of pigs = 16 feet ÷ 2 feet

                      = 8 pigs

The derivative of the function F(x) =x2 et4dt is e−x4(2x)−e−x2.

The derivative of a function of a real variable in mathematics quantifies the sensitivity of the function's value (output value) to changes in its argument (input value). Calculus's core tool is the derivative.

Take the derivative to differentiate anything.

Finding the slope at any point is the same as taking the derivative of a function, so differentiating is just finding the slope.

You may be aware that is typically indicated by either

I'm assuming you mean to determine the derivative of F(x)

F(x)=∫x2xe−t2dt

Let G(x)=∫x0e−t2dt

According to the calculus fundamental theorem

F′(x)=ddx(G(x2)−G(x))

=G′(x2)(2x)−G′(x)

=e−x4(2x)−e−x2.

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Answer:

theres no picture or something for the value of k

Answer:

1. continuous random variable

2. not a random variable

3. a continuous random variable

Step-by-step explanation:

The classifications are as follow

a)  The height of the player reported in the game day program is treated as a continuous random variable as these values could be determined through measuring them

b)  The color of student car is not a random variable as it does not contain any quantitative data or we can say numerical data

c)  The exact weight of the bag is a continuous variable as it is lie between the range

Answer:

y=2x-6

Step-by-step explanation:

y+4=-2(x-1)

Since the slope intercept form is in the form of:

y=mx+c

Making above equation in this form.

y+4=-2(x-1)

opening bracket

y+4=2x-2

subtracting both side by 4.

y+4-4=2x-2-4

y=2x-6

This equation is the slope intercept form.

Answer:

a

Step-by-step explanation:

Answer:

1. 30

2. -10

3. 48

Step-by-step explanation:

So for #1 I did:

3*2(6)+3*8(24) which equals 30

For #2 I did:

-5*4(-20)- -5*2(-10) which equals -10

For #3 I did:

8*10(80)-8*4(32) which equals 48

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Also sub to pewdiepie

Answer:

24.4 miles per gallon or 24 2/5 miles per gallon.

The unit rate of Jack's car is 10.8 miles per gallon.

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Yesterday jack drove 30 1/2 miles. He used 1 1/4 gallons of gasoline.

∴ The unit rate for miles per gasoline can be obtained if we divide the total no. of miles by the total no. of gasoline used which is,

= (13.5/1/25).

= 10.8 miles per gallon.

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Answer:

1) 16 boys

28 girls

ratio of boys to girls =

16:28

Divide through by 4

16/4:28/4 = 4:7

ratio of boys to girls = 4:7

ratio of total to girls

total = 16 + 28 = 44

total to girls = 44:28

divide through by 4

44/4:28/4 = 11:7

ratio of total to girls = 11:7

2) Total mixture = 45 liters

ratio of sugar solution to salt solution = 1:2

Amount of sugar solution =

1/(1 +2) × 45

= 1/3 × 45 = 15 liters

3) Harry, Jerry and Jane = 1:2:5

Let Harry = H

Jerry = Je

Jane = Ja

Total number of chocolate = T

H = Ja - 8

H = 1/8 × T = T/8

Je = 2/8 × T = 2T/8 = T/4

Ja = 5/8 × T = 5T/8

Substitute (H = T/8) and (Ja = 5T/8) in the expression (H = Ja - 8)

H = Ja - 8

T/8 = 5T/8 - 8

T/8 - 5T/8 = -8

-4T/8 = -8

-T/2 = -8

-T = -8 × 2

-T = -16

T = 16

Total number of chocolates = 16

Harry's share = 1/8 × 16 = 16/8 = 2 chocolates

Jerry's share = 2/8 × 16 = 32/8 = 4 chocolates

Jane's share = 5/8 × 16 = 80/8 = 10 chocolates

Jerry's chocolate = 4

The area of the top of the second mattress , 3/2x²

The equation to model the problem is y= 1.22x.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

let the side of mattress one be x

and, the side of Mattress 2 be y.

So, area of Mattress 2 / Area of Mattress 1 = 1 1/2

area of Mattress 2 / Area of Mattress 1 = 3/2

y²/ x² = 3/2

(y/ x)² = 3/2

y/x = √3/2

y /x = 1.22

Hence, the equation is y= 1.22 x .

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Answer:

C)(5, 125), (6, 216)

Step-by-step explanation:

Well firstly, there's no actual way to know. There could be anything there, as for any n pairs (x, y) with distinct x-s, there exists a (n-1 or less)-degree polynomial that models them perfectly, and infinitely many polynomials of degree n (or more).

If we input those terms to a polynomial interpolator, we'll get an answer every time.

With this one, it will be the right answer though!

But to be serious, let's find out what the numbers are. We can notice they're all cubic numbers.

There's 1, which is 1^3, then theres 2^3, then it's 3^3, then 4^3.

It's reasonable to expect that we are expected to assume (x, x^3) is the rule.

We can see that the answer C (5, 5^3), (6, 6^3) fits this narrative.

Answer:0.8p+1 and 1+0.8p

Step-by-step explanation:

0.5p+0.3p=0.8p

7-6=+1

0.8p+1

and

Swap both numbers

(0.5p+7)+(0.3p-6)=1+0.8p

7 blue marbles and 10 total marbles.

Picking blue would be 7 blue/ 10 total = 7/10

Given

To find

Let the purchase value be P,

ATQ,

P -3 x 0.1P = Rs 43,740

P-0.3P = Rs 43,740

0.7P = Rs 43,740

P = Rs 43,740/0.7

P = Rs 62,486 (approx)

Hence, the purchase value of the machine would be Rs 62,486

Answer:

120 units^2

Step-by-step explanation:

1/2bh

In this scenario rotate the triangle and you get 10 as the base and 24 as the height

1/2*10*24

12*10=120

Answer:

6,240 unit squared is the answer

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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Fia needs 3/4 cub of sugar

She has only a 1/3 cup and a 1/8 cup

To find which cup should she use :

Divide 3/4 by 1/3 and divide 3/4 by 1/8

The operation which give integer number is the true choice

So,

So, it should be use a 1/8 cup, so 6 times of a 1/8 cup will give 3/4 cup of sugar.

So, the answer is : a 1/8 cup

B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

A. To represent the number of grams present after n hours, we can use the equation:

N(n) = 15 × (1 - 0.2)^n

Where:

N(n) is the number of grams present after n hours,

15 is the initial amount of the substance in grams,

0.2 represents the decay rate of 20% per hour, and

^n represents the exponentiation operation.

B. To find out how much will be left after 24 hours, we can substitute n = 24 into the equation from part A:

N(24) = 15 × (1 - 0.2)^24

Calculating this expression, we find that approximately 2.49 grams will be left after 24 hours.

C. We need to determine the number of hours it takes until there is approximately one gram left. We can set up the equation:

1 = 15 × (1 - 0.2)^n

To solve for n, we can divide both sides of the equation by 15 and then take the logarithm (base 0.8) of both sides:

log(0.8)(1/15) = n

Using a calculator or logarithmic properties, we find that approximately 18.13 hours are required until there is approximately one gram left.

Therefore, the answers are:

B. After 24 hours, approximately 2.49 grams will be left.

C. After approximately 18.13 hours, there will be approximately one gram left.

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The length of the side b is 106. 7 inches

The Pythagorean theorem can be defined as a mathematical theorem stating that the square of the longest side of a given triangle, called the hypotenuse side is equal to the sum of the square values of the other two sides.

This is represented as;

x² = y² + z²

Such that;

Now, substitute the values

121² = 57² + b²

find the squares

b² = 14, 641 - 3249

b = √11392

b = 106. 7 inches

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Answer:

This mistake has no effect on the median and IQR, since it will be an outlier.

Step-by-step explanation:

xth percentile:

If a measure is said to be in the xth percentile, it means that x% of the measures are smaller than it, and (100-x)% are larger.

Median:

The 50th percentile is called median.

Interquartile Range:

Difference between the 75th and the 25th percentile.

In this question:

Tallest student measures 71 inches, but with a mistake, it was accidentaly entered 711.

However, since the mean and the median are related to the percentiles, in the middle of the distribution, they wont be affected by an outlier such as this.

Answer:

First you should know every Liter is 1000ml

so now we know we have a 1000ml bottle of milk

now you should divide 1000 by 300

and the answer is 3 glasses and one third glass

Step-by-step explanation:

mili = 10^-3

liter = dm³

deci = 10^-1

dm³ = (10^-1)³ =10^-3 m³

miliLiter = 10^-3 × 10^-3 = 10^-6m³

300 ml = 3×10² × 10^-6 = 3 × 10^-4

10^-3 ÷ (3× 10^-4)= 3.3333

Answer:

Step-by-step explanation:

1L = 1000 ml

1000 : 300 = 3.33

3 glasses (with the remainder of 0.3333 ml)

Answer:

Large candle) $6.25

Small candle) $3.5

Step-by-step explanation:

Let x be the cost of a large candle and y be the cost of a small candle.

Because Lexi bought two large candles and five small candles for $30, the first equation is 2x+5y=30.

Because Carl bought one large candle and three small candles for $16.75, the second equation is x+3y=16.75

We have two equations:

2x+5y=30 and x+3y=16.75

   1) Multiply both sides of x+3y=16.75 by 2 to get 2x+6y=33.5

   2) Subract the two equations

       2x+6y=33.5

      - 2x+5y=30

      =        y=3.5

   3) Plug y=3.5 into one of the equations.

       2x+5(3.5)=30

       2x+17.5=30

       2x=12.5

         x=6.25

   4) Check the work by plugging both variable in the other equation

        6.25+3(3.5)=16.75

        6.25+10.5=16.75

        6.75=16.75

Answer:

Step-by-step explanation:

3x  +  5  +  x  -  25  =  180

4x  -  20  =  180

4x  =  200

x  =  50

The program is an illustration of loops and conditional statements and the part of the complete program is

n = int(input())

for i in range(1,n+1):

  if not(i%3 == 0 or i%5==0):

The program written in Python where comments are used to explain each line is as follows:

#This gets input for n

n = int(input())

#This iterates through n

for i in range(1,n+1):

  #If the current number is not a multiple of 3 and 5

  if not(i%3 == 0 or i%5==0):

      #This prints the number

      print(i,end="")

  else:

      #This prints "Fizz", if the current number is a multiple of 3

      if i%3 == 0:

          print("Fizz",end="")

      #This prints "Buzz", if the current number is a multiple of 5

      if i%5==0:

          print("Buzz",end="")

  #This prints a new line

  print()

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