Carson draws a scale drawing of a city park and a parking lot. The city park is in the shape of a right triangle with logs that are 3 inches and 4 inches. The parking lot is in a shape of a rectangle with
dimensions of 15 inches and 25 inches. The scale for the drawing is 1 inch 40 feet.

I don't know the answer so help

Answer:

-15

Step-by-step explanation:

Answer:

$393.1 or $393.10

Step-by-step explanation:

You minus both of those numbers.

$650.00 = $650

$256.90 = $256.9

The right side is easier.

650 is harder to subtract it to a 4 dight number. So, add a zero. The changed one is:

$650.00 = $650.0

$256.90 = $256.9

Now, minus both which is $393.1

Answer

Q' (1, -5)

R' (0, 1)

We can see that only H (1, -5) matches one of these.

So, H (1, -5) is the ordered pair that represents either Q' or R'.

Explanation

To check the type of translation that has occured, we need to first write the coordinates of K and K'.

K (3, 1)

K' (5, -2)

A transformation to the right adds that number of units to the x-coordinate.

A transformation to the left subtracts that number of units from the x-coordinate.

A transformation up adds that number of units to the y-coordinate.

A transformation down subtracts that number of units from the y-coordinate.

So, for K' to come out of K, we need to add 2 units to the x-coordinate and subtract 3 units from the y-coordinate

K' (5, -2) = K (3 + 2, 1 - 3)

So, if either Q or R undergoes this same translation, it will entail a translation of 2 units to the right and 3 units downwards.

Q (-1, -2) = Q' (-1 + 2, -2 - 3) = Q' (1, -5)

R (-2, 4) = R' (-2 + 2, 4 - 3) = R' (0, 1)

Hope this Helps!!!

Answer:

The vertex of the function is at (–3,–16)

The graph is increasing on the interval x > –3

The graph is positive only on the intervals where x < –7 and where

x > 1.

Step-by-step explanation:

The graph of \(f(x)=(x-1)(x+7)\) has clear zeroes at \(x=1\) and \(x=-7\), showing that \(f(x) > 0\) when \(x < -7\) and \(x > 1\). To determine where the vertex is, we can complete the square:

\(f(x)=(x-1)(x+7)\\y=x^2+6x-7\\y+16=x^2+6x-7+16\\y+16=x^2+6x+9\\y+16=(x+3)^2\\y=(x+3)^2-16\)

So, we can see the vertex is (-3,-16), meaning that where \(x > -3\), the function will be increasing on that interval

Answer:

B: rectangle JKLM ~ rectangle QRSP

Step-by-step explanation:

5/6=0.83

12.5=0.83

JK corresponds to QR

JM corresponds to PQ

rectangle JKLM ~ rectangle QRSP

The buildings that represent the influence of ancient Greek culture are -

Given are the buildings from Ancient Greek Culture.

The buildings that represent the influence of ancient Greek culture are -

Therefore, the buildings that represent the influence of ancient Greek culture are -

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Answer: For the first one its J

The second one its H

Step-by-step explanation:

Answer:

coordinate  value is [-3,4].

Reltive is mio pie x 78.9 :)

hoped this helped :)

Answer:

80%

Step-by-step explanation:

So 2 is 2 and 1 3 and 5 are odd so it is 4/5 and as a percent it is 80%

Answer:

80%

Step-by-step explanation:

The numbers 2 or odd are 1, 2, 3, and 5.

4 numbers out of 5.

4/5 = 0.8

P(2 or odd) = 80%

Answer:

5/9 x 3/10 = 15/90 as simplified as 1/6 in fraction form.

5/9 multiplied by 3/10 is equal to 1/6 in its simplest form.

We have,

To multiply fractions, we multiply the numerators together and the denominators together.

The resulting fraction is then simplified to its simplest form.

Let's multiply 5/9 by 3/10:

(5/9) x (3/10) = (5 x 3) / (9 x 10) = 15/90

To simplify the fraction 15/90, we can divide both the numerator and denominator by their greatest common divisor, which is 15:

15/90 = (15 ÷ 15) / (90 ÷ 15) = 1/6

Therefore,

5/9 multiplied by 3/10 is equal to 1/6 in its simplest form.

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Answer:

49

Step-by-step explanation:

first you find the difference between the first two numbers so we do 10-7=3, then plug in 3 for the next 2 numbers 10+3=13, so we know our rule is +3 so now we do 3*14=42 then we do 7+42=49

Answer:

320

Step-by-step explanation:

4,800 ÷ 15 = 320

Checking this

15 × 320 = 4,800

If the two angles are complementary, then their sum is 90 degrees.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

If the two angles are complementary, then their sum is 90 degrees.

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The minimum number of bags of gems you need to order to complete the job is 3.

The first step is to determine the area of the circular metal pendant. A circle is a bounded figure which points from its center to its circumference is equidistant.

Area of a circle = πr²

Where :

22/7 x 2² = 88/7 = 12.57 in²

The second step is to divide the area of the circular metal pendant by 5 inches square. Division is the mathematical operation that is used to determine the quotient of a number. The sign used to denote division is ÷.

12.57 / 5 = 2.5 bags = 3 bags

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The Expression x^2 - 6x + 9 when x = 2 + i   is -2i

To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:

(2 + i)^2 - 6(2 + i) + 9

Simplifying the first term, we get:

(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2

Since i^2 = -1, we can substitute that in and simplify further:

(2 + i)^2 = 4 + 4i - 1 = 3 + 4i

Now we substitute this into the original expression:

(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9

Simplifying further, we get:

= 3 + 4i - 12 - 6i + 9

= 0 - 2i

= -2i

Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.

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Answer:

A = 35 cm²

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

by counting the squares on the sides

length = 7 cm and width = 5 cm , then

A = 7 × 5 = 35 cm²

Answer:

Biker = 25 mph

Walker = 16⅔ mph

Step-by-step explanation:

Distance = rate × time

If x is the walker's speed and y is the biker's speed, then:

1.5 y − 1.5 x = 12.5

y = 1.5 x

Solve the system of equations.

1.5 y − y = 12.5

0.5 y = 12.5

y = 25

x = 16⅔

Answer:

6ft

Step-by-step explanation:

Just use 11 ft - 5ft = 6 ft

Have a good day

Answer:

If (x-1) is a factor of the polynomial f(x) = 4x² - 4x² - x - K, then we know that (x-1) divides evenly into the polynomial, which means that the polynomial can be written as:

f(x) = (x-1)(ax + b)

where a and b are constants that we need to determine. We can use the distributive property to expand this expression and equate it with the original polynomial:

f(x) = (x-1)(ax + b) = 4x² - 4x - K

Expanding the left side of the equation, we get:

ax² + bx - ax - b = ax² - (a-b)x - b = 4x² - 4x - K

Now we can equate the coefficients of the like terms on both sides of the equation.

The coefficient of x^2 on the left side is a, and on the right side it is 4. Therefore, we have:

a = 4

The coefficient of x on the left side is b - a, and on the right side it is -4. Therefore, we have:

b - a = -4

Substituting a=4, we get:

b - 4 = -4

Solving for b, we get:

b = 0

So the polynomial can be written as:

f(x) = (x-1)(4x + 0) = 4x² - 4x

Therefore, K = 0.

To find the roots of the equation, we need to set f(x) = 0 and solve for x:

4x² - 4x = 0

Factor out 4x:

4x(x - 1) = 0

So the roots of the equation are x = 0 and x = 1.

Answer:

\(\displaystyle 64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\approx3.66\)

Step-by-step explanation:

\(\displaystyle \iint_R(3x-y)\,dA\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r\cos\theta-r\sin\theta)\,r\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r^2\cos\theta-r^2\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0r^2(3\cos\theta-\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\frac{64}{3}(3\cos\theta-\sin\theta)\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\biggr(64\cos\theta-\frac{64}{3}\sin\theta\biggr)\,d\theta\)

\(\displaystyle =\biggr(64\sin\theta+\frac{64}{3}\cos\theta\biggr)\biggr|^\frac{\pi}{2}_\frac{\pi}{4}\\\\=\biggr(64\sin\frac{\pi}{2}+\frac{64}{3}\cos\frac{\pi}{2}\biggr)-\biggr(64\sin\frac{\pi}{4}+\frac{64}{3}\cos\frac{\pi}{4}\biggr)\\\\=64-\biggr(64\cdot{\frac{\sqrt{2}}{2}}+\frac{64}{3}\cdot{\frac{\sqrt{2}}{2}}\biggr)\\\\=64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\biggr\\\\\approx3.66\)

Answer:

Step-by-step explanation:

To solve this system of equations, you can use the substitution method.

In this method, you solve one of the equations for one of the variables in terms of the other variable. Then you substitute this expression into the other equation. This will give you a single equation in one variable, which you can solve to find the value of that variable. Finally, you can substitute this value back into one of the original equations to find the value of the other variable.

To solve this system using substitution, we can solve the second equation for y:

y = x - 4

Then, we substitute this expression for y in the first equation:

x + (x - 4) = 8

Combining like terms, we get:

2x - 4 = 8

Adding 4 to both sides, we get:

2x = 12

Dividing both sides by 2, we find that:

x = 6

Now we can substitute this value back into one of the original equations to find the value of y. Let's substitute it into the second equation:

x - y = 4

Substituting 6 for x, we get:

6 - y = 4

Subtracting 6 from both sides, we find that:

y = 2

So the solution to the system of equations is x = 6 and y = 2.

Answer:

x=6, y = 2

Step-by-step explanation:

If you add 2 expressions, 2x = 12, so x = 6.

So the other one y = 2.

The number of fidgets and pop bought was 15 each

From the information given, we have that;

1 fidget costs $3

1 Pop cost $4

Let the number of Fidgets be x

Let the number of Pop be y

Then, we have that a total of 20 fidgets and Pop cots $75

We have that;

20x + y = 75

Now, substitute the value of x as 3, we get;

20(3) + y= 75

expand the bracket

y = 75 - 60

y = 15

The number of fidgets is expressed as;

20x/4 = 20(3) /4 = 15

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To find the inverse of a function:

We will follow the steps below

Step 1: Replace f(x) witth y

Step 2: interchange x with y

Step 3: Make y the subject of the formula

Thus, the inverse of the function is:

Answer:

The correct answer is B (24 units)

Step-by-step explanation: