f(x)=x-11; f(4)

f(4)=

Answer:

x=y-4

Step-by-step explanation:

If Samir has skated y laps around the rink, then Kai has skated y - 4 laps around the rink.

So the expression that shows how many laps Kai has skated around the rink is: x=y-4

Answer:

Step-by-step explanation: patience. wyd here.

but the answer is x=y-4

Answer:

false

Step-by-step explanation:

Answer:

45°

Step-by-step explanation:

-45° would be 360°-45°=315°

Since 315° is in Quadrant IV, then its reference angle is 360°-315°=45°

So really, -45° is just 45° clockwise which is also our reference angle.

Step 1: Find the Discounted Amount

First, let's figure out how much Andy saves with the 7% discount. To do this, we need to find 7% of £6,500.

7% is 7 out of 100, so it can also be written as 0.07 (7/100 = 0.07).

So, the amount of discount is 0.07 multiplied by £6,500.

Discount = 0.07 * 6,500 = £455.

Step 2: Find the Price After Discount

Now, we need to subtract the discount from the original price of the car to find out how much Andy needs to pay after the negotiation.

Price after discount = Original Price - Discount

= £6,500 - £455

= £6,045.

Step 3: Calculate the Monthly Payments

Andy is going to pay the amount in 12 equal monthly payments. So we have to divide the total amount he has to pay by 12.

Monthly payment = Total Amount / Number of months

= £6,045 / 12

≈ £503.75.

And there you go! Andy will have to pay approximately £503.75 each month for 12 months to buy the car after negotiating a 7% decrease on the original price.

Just imagine Andy slicing up the total cost into 12 equal little pieces, like a pie, and then paying for one slice each month!

Answer:

$2122.17

Step-by-step explanation:

Principal/Initial Value: P = $1500

Annual Interest Rate: r = 7% = 0.07

Compound Frequency: k = 4

Period of Time: t = 5

\(\displaystyle A=P\biggr(1+\frac{r}{k}\biggr)^{kt}\\\\A=1500\biggr(1+\frac{0.07}{4}\biggr)^{4(5)}\\\\A\approx\$2122.17\)

Answer:

Step-by-step explanation:

The solution that can be eliminated is (a) the solution –0.2 s can be eliminated because time cannot be a negative value.

The equation is given as:

h(t)) = -16t^2 + 40t + 7

From the question

When h(t) = 0, the values of t are

t = -0.2 and t = 2.7

The t in the function h(t) represents time

As a general rule, time cannot be negative.

This means that the solution t = -0.2 can be eliminated

Hence, the solution that can be eliminated is (a) the solution –0.2 s can be eliminated because time cannot be a negative value.

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Answer:

∠L=23°

Step-by-step explanation:

(6x-5)+(x+9)=(9x-24) (ext angle of triangle)

   6x-5+x+9=9x-24

           7x+4=9x-24

          7x-9x=-24-4

              -2x=-28

               2x=28

                 x=28÷2

                   =14

Hence, ∠L = (x+9)°

                  = (14+9)°

                  = 23°

Answer:

158962.5

Step-by-step explanation:

it is already round to the tenth ,but if you are talking about rounding to the neartest whole number is it 158963

sorry if i am wrong :) have a nice day

The complementary angles will be 65.6° and 24.4°.

What exactly are complementary angles?

Supplementary and complementary angles are defined by the sum of two angles. If the total of two angles is 90 degrees, they are considered to be complimentary angles since they produce a right angle when combined. If the total of two angles is 180 degrees, they are considered to be supplementary angles since they produce a linear angle when combined.

Now,

Let x be a angle then its complementary angle will be 90°-x as sum of complementary angles is equal to 90°.

as given

90°-x-x=18.8°

9--2x=18.8

2x=71.2

x=65.6° and 90-x°=24.4°

hence,

                The complementary angles will be 65.6° and 24.4°.

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Answer: C

Step-by-step explanation:

Given

Nancy bought the bag with 1100 beads to make necklaces

She found another bag with 700 beads

So, the total number of beads is the sum of two i.e. 1800 beads

It takes 50 beads per necklace

The number of necklaces that can be formed is

\(\Rightarrow \dfrac{1800}{50}\\\\\Rightarrow 36\ \text{Necklaces}\)

The profit-maximizing price and quantity for the monopolist are $350 and 150 units, respectively ,The expected return is greater than the initial investment And the producer surplus is $33,750, consumer surplus is $31,875, and firm profit is $37,500.

Ignoring the time value of money and discounting, the expected value of the lottery winnings each year is 2% × $1 million = $20,000, and this goes on for 10 years.

Thus, the expected value of the investment is 10 × $20,000 = $200,000.

Hence, the expected return is greater than the initial investment, and there is a condition under which the investment can be made.

The monopolist’s total cost can be represented as:

TC = 300 + 200Q + 3Q².

The demand function for the monopolist is given as:

Q = 500 - P,

which can be rearranged to derive the price function as:

P = 500 - Q.

From the total cost function, we can obtain the marginal cost (MC) as the derivative of TC with respect to Q, and it can be represented as follows:

MC = dTC/dQ = 200 + 6Q.

From the marginal cost, we can set the marginal revenue (MR) equal to MC to get the profit-maximising quantity as follows:

MR = dTR/dQ = P + Q(500 - P) = 500 - Q + 500Q - Q² = 1000Q - Q² - 500 = MC = 200 + 6Q.

Substituting P = 500 - Q in the above expression and rearranging yields the following:

Q = 150, and hence, P = $350.

Therefore, the profit-maximising price is $350, and the quantity is 150. We can verify that the solution is a maximum by computing the second-order condition, which is negative.

To calculate the producer surplus, we first need to obtain the area above the marginal cost and below the price.

Thus, we have:

PS = ∫ MC to QdQ

= ∫ (200 + 6Q) dQ from 0 to 150

= [200Q + 3Q²] from 0 to 150

= $33,750.

Similarly, the consumer surplus can be computed as the difference between the market value of the product and what the consumers paid for it. The area below the price line and above the demand curve yields the consumer surplus.

Thus, we have:

CS = ∫ P to QdQ

= ∫ (500 - Q) dQ from 0 to 150

= [(500 × Q) - (Q²/2)] from 0 to 150

= $31,875.

Finally, the firm profit can be obtained by multiplying the profit-maximizing quantity by the profit-maximizing price and subtracting the total cost.

Thus, we have:

Profit = TR - TC = Q × P - TC = (150 × $350) - (300 + 200 × 150 + 3 × 150²) = $37,500.

Hence, the producer surplus, consumer surplus, and firm profit are $33,750, $31,875, and $37,500, respectively.

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The amount withdrawn at the end of the 2 years is given as follows:

$7,280.

The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are listed and explained as follows:

The parameter values for this problem are given as follows:

P = 7000, r = 0.02, t = 2.

Hence the balance of the account at the end of the two years, representing the amount withdrawn, is given as follows:

A(2) = 7000 x (1 + 0.02 x 2)

A(2) = $7,280.

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a) According to the uniform density function, the range of the possible times during which a part of the problem is being graded is between 20 and 45 seconds. b) The decimal form is 0.036 rounded to three significant decimals. Therefore, the answer is P(23 ≤ x ≤ 35) = 0.036.

a) Picture of the uniform density function and labeled correctly: Assuming that 20 and 45 seconds is the interval during which the grading will take place, we can draw a uniform density function as follows:

the horizontal axis shows time in seconds, and the vertical axis shows probability: According to the uniform density function, the range of the possible times during which a part of the problem is being graded is between 20 and 45 seconds.

b) Probability that it will take me between 23 and 35 seconds to grade a part of problem one:

If we look at the picture we drew above, the probability of a part of problem one being graded between 23 and 35 seconds is represented by the area under the curve in the region between 23 and 35 seconds.

Using the area formula for the rectangle gives us:

Area = height × width

= 1/(45 - 20) × (35 - 23)

= 12/325.

The probability of a part of problem one being graded between 23 and 35 seconds is 12/325.

The above answer is in unreduced fraction.

The decimal form is 0.036 rounded to three significant decimals.

Therefore, the answer is P(23 ≤ x ≤ 35) = 0.036.

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Answer:

C) ASA

Step-by-step explanation:

The triangles are congruent by ASA.

Each triangle has two angles congruent to two corresponding angle of the other triangle. Also the common side is congruent to itself and is the side included by the angles. By ASA, the triangles are congruent.

The 45º-45º-90º Triangle Theorem states that in a right triangle where the two acute angles are both 45º, the length of the hypotenuse is √2 times the length of each leg.

Therefore, if the length of the hypotenuse is 102, then the length of each leg is 102/√2 or approximately 72.14.

To apply the 45º-45º-90º Triangle Theorem to find the length of a leg of a right triangle with a hypotenuse of 102, you need to use the ratio 1:1:√2 for the leg, leg, and hypotenuse respectively. Since the hypotenuse is 102, you can set up the following equation:

Leg : Leg : Hypotenuse = 1 : 1 : √2

Let "x" represent the length of each leg. Then, the relationship becomes:

x : x : 102 = 1 : 1 : √2

To solve for x, divide the hypotenuse by √2:

x = 102 / √2

To rationalize the denominator, multiply the numerator and denominator by √2:

x = (102 * √2) / (2)

x = 51√2

So, the length of each leg of the 45º-45º-90º right triangle is 51√2 units.

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Answer:

If the door was at the right angle then that means it is not an optical illusion, but if the door is straight then that means the door is not at a right angle so it's an optical illusion.

Step-by-step explanation:

Maybe if the door was straight, but you saw it at a right angle then maybe you      were laying down, you were sick, seeing things or you drank a lot of alcohol that day. If it was a right angle on that day then it was not an optical illusion.

Answer:

80°

Step-by-step explanation:

Because the triangle are congruent, the 3rd angle of both triangle needs to bring the sum of the triangle to 180°, so the last angle must be 80

Answer:

9 years

Step-by-step explanation:

12g = initial

+3 years = 24g

+3 years = 48g

+3 years = 96g

Answer: 12

Step-by-step explanation: by the end of 12 weeks shell have 200 dollars left

So, the simpler form of the radical expression 4 sqrt 1296 x^16y^12 is 144x^14y^14 sqrt (x) sqrt (y).

To simplify the radical expression 4 sqrt 1296 x^16y^12, we need to first factor the number inside the radical. 1296 can be factored into 36 x 36, which simplifies to 6^4. So, the expression becomes 4 sqrt (6^4 x^16y^12).
Next, we can simplify the expression further by using the property of exponents that says a^m x a^n = a^(m+n). This means that we can combine the exponents of x and y, which gives us 4 sqrt (6^4 x^(16+12) y^(12+16)). Simplifying this, we get 4 sqrt (6^4 x^28 y^28).
Now, we can simplify the radical expression even further by using the property that says sqrt (a x b) = sqrt (a) x sqrt (b). Applying this to our expression, we get 4 x 6^2 x sqrt (x^28) x sqrt (y^28). Simplifying this further, we get 144x^14y^14 sqrt (x) sqrt (y).
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Answer: n = 20

Step-by-step explanation:

Given that the problem goes thus:

When a number, n is added to 1/5 n of itself, the outcome obtained is 24.

Mathematically,

n + 1/5 of n = 24

n + (1/5n) = 24

1n + 1/5n = 24

(5n + 1n) / 5 = 24

6n / 5 = 24

6n = 24 × 5

6n = 120

n = 120 / 6

n = 20

Answer:

B on edg, n=20

Step-by-step explanation:

Answer:

m=3

Step-by-step explanation:

subtract the e from both sides so you now have 15=5m divide each by 5 and you get 3=m

Answer:

m = 3

Step-by-step explanation:

-5m + 18 = 3

-5m = 3 - 18

-5m / -15 = 3

Answer: m = 3

Hope this helped

Brainliest is aprreciated.

If the corners of the kitchen are (8, 4), (−3, 4), (8, −8), and (−3, −8), the area of the kitchen is 132 square feet. So, the correct option is C.

To find the area of the rectangular kitchen, we need to use the formula for the area of a rectangle, which is A = L x W, where A is the area, L is the length, and W is the width.

From the given ordered pairs, we can determine the length and width of the rectangle. The length is the distance between the points (8,4) and (-3,4), which is 8 - (-3) = 11 feet. The width is the distance between the points (8,4) and (8,-8), which is 4 - (-8) = 12 feet.

Now that we know the length and width, we can find the area by multiplying them together:

A = L x W = 11 x 12 = 132 square feet

Therefore, the correct answer is C.

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Answer    C. 132 fT2  

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Calculate the ratio of corresponding sides, image to preimage, that is

scale factor = \(\frac{DE}{AB}\) = \(\frac{14}{35}\) = \(\frac{2}{5}\) → C

Answer:

5 ml

Step-by-step explanation:

1250 lb * ( 1 ml / 250 lb ) = 5 ml

Answer:NML iscocilese triangle

Step-by-step explanation:

Answer:

right angle, obtuse angle and straight angle

Step-by-step explanation:

i hope this is what you mean sry if it didn't help