Let’s say the area of the map is 21 square inches. You want to make an enlarged map of Central Park to take with you on your journey. Describe how you can determine the area of the enlarged map. plzzzzzzz answer quickly I have 20 minutes.

I’m pretty sure the answer is 8:25 a.m

so the difference is 975 - 828.75 = 146.25.

if we take 975 to be the 100%, how much is 146.25 off of it in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 975&100\\ 146.25&x \end{array}\implies \cfrac{975}{146.25}=\cfrac{100}{x}\implies 975x=14625 \\\\\\ x=\cfrac{14625}{975}\implies x=15[/tex]

Answer:

146.25

Step-by-step explanation:

Answer:

245.04

Step-by-step explanation:

The equation to a cylinder for area is A=2πrh+2πr^2

Fill in and solve.

A=2(3.14)(3)(10)+2(3.14)(3)^2

So using PEMDAS you get the answer 245.04

While taking @Jtakes700's answer and putting it into the form your asking, or putting into one of your options, you would get 78pi sq. in.

Answer:

The answer is 28

Step-by-step explanation:

The total number of work hours in 7 days will be 28 hours.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Randle plans to work 8 hours every two days. The total work hours in 7 days will be calculated as,

Number of hours for 6 days,

N = (6 / 2) x 8

N = 24 hours

Number of hours for 1 day,

N = 8 / 2 = 4 hours

Total hours = 24 + 4 = 28 hours

Therefore, the total number of work hours in 7 days will be 28 hours

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Answer:

The list in order from the one with least volume to the one with the greatest volume is

case C) A square pyramid with base edges 6 cm and height 6 cm

case A) A cube with edge 5 cm

case E) A rectangular prism with a 5 cm-by-5 cm base and height 6 cm

case D) A cone with radius 4 cm and height 9 cm

case B) A cylinder with radius 4 cm and height 4 cm

Step-by-step explanation:

To solve this problem calculate the volume of each solid

case A) A cube with edge 5 cm

The volume of a cube is equal to

[tex]V=b^{3}[/tex]

where

b is the length side of the cube

substitute the value

[tex]V=5^{3}=125\ cm^{3}[/tex]

case B) A cylinder with radius 4 cm and height 4 cm

The volume of a cylinder is equal to

[tex]V=\pi r^{2} h[/tex]

substitute the value

[tex]V=(3.14)(4)^{2} (4)=200.96\ cm^{3}[/tex]

case C) A square pyramid with base edges 6 cm and height 6 cm

The volume of a pyramid is equal to

[tex]V=\frac{1}{3}Bh[/tex]

where

B is the area of the base

h is the height of the pyramid

Find the area of the base B

[tex]B=6^{2}=36\ cm^{2}[/tex] ----> is a square

substitute the values

[tex]V=\frac{1}{3}(36)(6)=72\ cm^{3}[/tex]

case D) A cone with radius 4 cm and height 9 cm

The volume of a cone is equal to

[tex]V=\frac{1}{3}Bh[/tex]

where

B is the area of the base

h is the height of the cone

Find the area of the base B

[tex]B=\pi r^{2}=(3.14)(4^{2})=50.24\ cm^{2}[/tex] ----> is a circle

substitute the values

[tex]V=\frac{1}{3}(50.24)(9)=150.72\ cm^{3}[/tex]

case E) A rectangular prism with a 5 cm-by-5 cm base and height 6 cm

The volume of a rectangular prism is equal to

[tex]V=LWH[/tex]

substitute the values

[tex]V=(5)(5)(6)=150\ cm^{3}[/tex]

therefore

The list in order from the one with least volume to the one with the greatest volume is

case C) A square pyramid with base edges 6 cm and height 6 cm

case A) A cube with edge 5 cm

case E) A rectangular prism with a 5 cm-by-5 cm base and height 6 cm

case D) A cone with radius 4 cm and height 9 cm

case B) A cylinder with radius 4 cm and height 4 cm

Answer:

The length of the rectangle is 18 cm

The width of the rectangle is 6 cm

Step-by-step explanation:

Let

x-----> the length of the rectangle

y----> the width of the rectangle

we know that

The perimeter of the rectangle is

[tex]P=2(x+y)[/tex]

we have

[tex]P=48\ cm[/tex]

so

[tex]48=2(x+y)[/tex] ------> equation A

[tex]x=2y+6[/tex] ------> equation B

Substitute equation B in equation A and solve for y

48=2(2y+6+y)

48=2(3y+6)

48=6y+12

6y=48-12

y=36/6=6 cm

Find the value of x

x=2(6)+6=18 cm

The area of the rectangle is

A=xy

A=18*6

A=108 cm^2

Final answer:

To solve for the dimensions of the rectangle, we set up a system of equations based on the given perimeter and the relationship between length and width and solve for both variables.

Explanation:

The student is asked to find the dimensions of a rectangle given the perimeter and a relationship between its length and width. Since the perimeter is 48 cm and the length (L) is 6 cm more than twice the width (W), two equations can be set up: 2L + 2W = 48 and L = 2W + 6. By substituting the second equation into the first, we get 2(2W + 6) + 2W = 48. Simplifying yields 4W + 12 + 2W = 48, which simplifies further to 6W + 12 = 48. Solving for W gives W = 6 cm, and substituting back gives L = 18 cm.

Answer:

2 mpm

Step-by-step explanation

it's 30 dollars because it's the closest whole number

Final answer:

To calculate the total cost of an online purchase, round the sales tax to the nearest penny and add it to the item's price. When combining multiple items, sum their prices and add the rounded sales tax to find the total cost.

Explanation:

When buying shoes or any item online and encountering a selling price that includes cents, you may need to perform rounding if further calculations are required. For example, to round $6.375 to the nearest penny, we would get $6.38 because the third digit after the decimal is 5 or more, thus we increase the second digit by one. From there, we would add the rounded sales tax to the original price of the item to find the total cost.

In a different scenario where you are adding two prices together, like $8.99 and $11.99, you get the subtotal of $20.98 before tax. Then calculate the sales tax by converting the percent to a decimal and multiplying by the subtotal, rounding again to the nearest cent if necessary. Finally, add the sales tax to the subtotal to get the total cost. For instance, if the sales tax was $1.47, adding this to the subtotal of $20.98 would give you a total of $22.45.

[tex]\bigtriangleup RSP \cong\bigtriangleup RQT\Rightarrow \frac{RS}{RQ}=\frac{RP}{RT}\Leftrightarrow RS=3 \\ \Rightarrow ST=RT-RS=5[/tex]

Answer:

Train B is traveling faster at a speed of 120 MPH

How to solve:

Train A is 840/7.5 = 112 which is the MPH so its 112 MPH

Train B is 1080/9 = 120 MPH

Final answer:

Train B is the faster train with an average speed of 120 miles per hour, compared to Train A which has an average speed of 112 miles per hour.

Explanation:

The question is asking to compare the average speed of two trains. To find the average speed, we divide the total distance traveled by the time taken. For Train A, it travels 840 miles in 7.5 hours, and for Train B, it travels 1080 miles in 9 hours.

Calculating the average speed of Train A: 840 miles / 7.5 hours = 112 miles per hour.

Calculating the average speed of Train B: 1080 miles / 9 hours = 120 miles per hour.

Therefore, Train B is traveling at the fastest speed with an average of 120 miles per hour.

q= -1/2

perpendicular slopes are those that are opposite sign and reciprocal of the original given slope

Answer: second option.

Step-by-step explanation:

The equation  of the line in slope-intercept form is:

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

Where m is the slope of the line and b the y-intercept.

We know that we can calculate the slope with:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, keeping the above on mind, you have that:

- If the line moves upward from the left to right, then the slope is positive.

-  If the line moves down from the left to right, then the slope is negative.

Then, if the slope described moves 3 units down and 5 units to the right, the it is negative. Therefore:

[tex]m=-\frac{3}{5}[/tex]

Answer:

[tex]-\frac{3}{5}[/tex]

Step-by-step explanation:

We are to identify the slope of a line which is described as:

'down 3 and right 5'

We know that a straight line which is sloping downwards from left to right has  a negative slope.

And a straight line which goes upwards from left to right side has a positive slope.

According to the describe slope of a line, it goes 3 units down and 5 units right so it makes a negative slope which is equal to [tex]-\frac{3}{5}[/tex].

Marc's son is 14 years old. We found this by creating the equation 3x + 4 = 46 based on the question, solving for x, and determining that x equals 14.

This is a problem that requires an understanding of simultaneous linear equations. Let's denote Marc's son's age as x.

Marc is 4 years older than 3 times his son's age. Therefore, we can write this as: 3x + 4 = 46.

To find the value of x, which represents the son's age, we first subtract 4 from both sides of the equation (3x + 4 - 4 = 46 - 4). Now we have 3x = 42. To get the value of x alone, we will then divide by 3 from both sides of the equation (3x/3 = 42/3). As a result, we'll find out that x equals 14, which means Marc's son is 14 years old.

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[tex] 3x({x}^{2} + 2x - 4)[/tex]

[tex]3x \times {x}^{2} = {3x}^{3} [/tex]

[tex]3x \times 2x = 6 {x}^{2} [/tex]

[tex]3x \times - 4 = - 12x[/tex]

[tex]b. \: 3 {x}^{3} + 6 {x}^{2} - 12x[/tex]

Answer:

4:3

Step-by-step explanation:

The ratio is 8:6, which simplifies to 4:3.

Answer:

16:9

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The equation of the circle is (x-x0)^2 + (y-y0)^2 = r^2, where (x0,y0) is the center of the circle. Radius is the distance from any point to the center. Using distance formula you get r = 3.

The equation of the circle having center at point (4,1) and passing through the point (4,-2) is Option (D) [tex](x - 4)^{2} + (y - 1)^{2} = 9[/tex]

A circle having radius r and having center at (x0,y0) can be represented by the parametric equation as -

[tex](x - x0)^{2} + (y - y0)^{2} = r^{2}[/tex]

Any point say (x1,y1) which lies on the circle, must satisfy the given parametric equation of the circle.  

Given that the point (4,-2) lies on the circle. Also the center of circle is at (4,1). Therefore, calculating the radius of the circle which is the distance from the center to the point lying on the circle.

Using distance formula,

radius = [tex]\sqrt{(4 - 4)^{2} + (-2 - 1)^{2} }[/tex]  =  [tex]\sqrt{9 }[/tex] = [tex]3[/tex]

Thus forming the equation of circle from the general parametric equation,

⇒  [tex](x - 4)^{2} + (y - 1)^{2} = 3^{2}[/tex]

∴   [tex](x - 4)^{2} + (y - 1)^{2} = 9[/tex]

Therefore the equation of circle is Option (D) [tex](x - 4)^{2} + (y - 1)^{2} = 9[/tex]

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First let's see if (8, -2) can be written as a linear combination of (1, 1) and (1, -1): we want to find [tex]c_1,c_2[/tex] such that

[tex]c_1(1,1)+c_2(1,-1)=(8,-2)\implies\begin{cases}c_1+c_2=8\\c_1-c_2=-2\end{cases}[/tex]

Easily done; we find [tex]c_1=3[/tex] and [tex]c_2=5[/tex].

Since [tex]T[/tex] is linear, we have

[tex]T(8,-2)=T(3(1,1)+5(1,-1))=3T(1,1)+5T(1,-1)=3(4,3)+5(-1,1)[/tex]

[tex]T(8,-2)=(7,14)[/tex]

t(x₁, x) = (1.5x₁ + 2.5x₂, 2 x₁ + x₂). And, t(8, -2) = (7, 14)

To find the linear transformation t applied to an arbitrary vector (x₁, x₂), we begin by expressing (x₁, x₂) as a linear combination of v₁ and v₂. Given t(v₁) = (4,3) and t(v₂) = (-1,1), we can use these results to construct the transformation.

Let's express any given vector (x₁, x₂):

v₂ = (1, -1)

An arbitrary vector (x₁, x₂) can be written as a linear combination of v₁ and v₂:

(x₁, x₂) = a * v₁ + b * v₂

Hence,

x₁ = a + b

[tex]b = \frac{(x_1, x_2)}{2}[/tex]

We apply the transformation t:

t(x₁, x₂) = a * t(v₁) + b * t(v₂) = [tex](\frac{((x_1 + x_2) * (4, 3)}{ 2} + \frac{((x_1 - x_2) * (-1, 1) }{ 2})[/tex]

Expanding, Combining terms we get:

t(x₁, x) = (1.5x₁ + 2.5x₂, 2 x₁ + x₂)

To find t(8, -2):

t(8, -2) = (1.5 * 8 + 2.5 * (-2), 2 * 8 + (-2))

This gives:

t(8, -2) = (12 - 5, 16 - 2) = (7, 14)

Answer:

  ... you add the exponents

Step-by-step explanation:

An exponent is a way of showing repeated multiplication. For example, ...

  x^2 means x·x

and

  x^3 means x·x·x

If we multiply these two expressions together, we get ...

  (x^2)·(x^3) = (x·x)·(x·x·x) =  x·x·x·x·x

This is a product in which x appears as a factor 5 times, so we can write it using an exponent as ...

  x·x·x·x·x = x^5

___

That is, when we multiply the expressions, we add the numbers of times the factor appears in the product:

  2 + 3 = 5

  x^2 · x^3 = x^(2+3) = x^5

Answer: Add

Step-by-step explanation: When you multiply expression with the same base you ADD the exponents. The exponent tells you how many times you multiply the base by itself. This means the exponent corresponds to the amount of base replications. If you add the exponents you are adding the replications of the base. 

if I'm right it would be 2/5. you get your answer by adding 2/5 and 1/5 then subtract 5/5- 3/5 to get 2/5

Answer: option c

Step-by-step explanation:

To solve this problem you must keep on mind the properties of logarithms:

[tex]log(b)-log(a)=log(\frac{b}{a})\\\\log(b)+log(a)=log(ba)\\\\a*log(b)=log(b)^a[/tex]

Therefore, knowing the properties, you can write the expression gven in the problem as shown below:

[tex]2logx-6log(x-9)\\logx^2-log(x-9)^6\\\\log\frac{x^2}{(x-9)^6}[/tex]

Answer:

c edge

Step-by-step explanation:

Answer:

Area[tex]=70in^2[/tex]

Step-by-step explanation:

The given diagram is a tra-pezoid.

The area of a tra-pezoid is calculated using the formula;

Area[tex]=\frac{1}{2} (Sum\:of\:parallel\:sides)\times height[/tex]

This implies that;

Area[tex]=\frac{1}{2} (8+12)\times 7[/tex]

Area[tex]=\frac{1}{2} (20)\times 7[/tex]

Area[tex]=(10)\times 7[/tex]

Area[tex]=70in^2[/tex]

The last choice is correct.

Answer:

1,221,759.

Step-by-step explanation:

This is the number of combinations of 5 from 45.

This =   45! / 40! 5!

=  1,221,759.

Answer:

1,221,759

Step-by-step explanation:

Answer:

350

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

A rectangle has 4  * 90 degree angles and opposite sides are congruent and parallel.  A square also fits the bill.

Answer:

the answer is c for apex

Step-by-step explanation:

Answer:

a. [tex]x=-1,2,\:or\:6[/tex]

Step-by-step explanation:

The given equation is

[tex]x^3-7x^2+4x+12=0[/tex]

To find all real solutions using the x-intercept method, we to graph the corresponding function using a graphing tool.

The corresponding function is;

[tex]f(x)=x^3-7x^2+4x+12[/tex]

The real solutions to [tex]x^3-7x^2+4x+12=0[/tex], are the x-intercepts of the graph of the corresponding function.

From the graph the x-intercepts are

(-1,0),(2,0) and (6,0).

Therefore the real solutions are

[tex]x=-1,2,\:or\:6[/tex]

Only (A) and (B) are true.

Variable distributions:

X: Since we are sampling a specific number (20) of individuals with a known probability of color blindness (8%), X follows a binomial distribution with n = 20 and p = 0.08.

Y: Similarly, Y follows a binomial distribution with n = 40 and p = 0.01.

Z: Z is not a simple binomial because it combines two independent binomial variables (X and Y) with different parameters. Therefore, Z's distribution is not directly binomial.

Probability of 2 color-blind males:

Using the binomial probability formula for X, the probability of exactly 2 color-blind males (out of 20) is:

P(X = 2) = 20C2 * 0.08^2 * (1 - 0.08)^18 ≈ 0.2711

Therefore, only statements (A) and (B) are true:

(A) True: X is binomial with n = 20 and p = 0.08.

(B) True: Y is binomial with n = 40 and p = 0.01.

Statements (C), (D), and the answer choices for the probability of 2 color-blind males are incorrect.

Answer:

R = 48.59 degrees

Step-by-step explanation:

We know that

sin theta = opposite / hypotenuse

sin R = 30/40

sin R = 3/4

Taking the inverse sin of each side

sin^-1 (sin R) = sin ^-1(3/4)

  R = 48.59037789

To the nearest hundredth

R = 48.59 degrees

Answer:

Between 0 and 1

Step-by-step explanation:

The probability for each outcome in experimental probability must be a value between 0 and 1.  A probability of 0 means the event did not happen; the probability of 1 means it is certain.  We cannot have probabilities smaller than 0 or greater than 1.

All of the probabilities in an experiment must sum to 1 whole.

The probability assigned to each experimental outcome must be greater than 0 or less than 1 or lies in between 0 and 1.

The probability of extremely certain event is 1 and the probability of extremely uncertain event is 0. The sum of all the probabilities in an experiment is always equals to 1.

Hence the probability assigned to each experimental outcome must be greater than 0 or less than 1 or lies in between 0 and 1.

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The solution to this exercise has been attached below. The problem has been solved in this way:

________________

Answer:

Everything he said was correct!

Step-by-step explanation:

I hope this helps!

- sincerelynini