I know that the sequence models value of a car that originally cost $26,500 but loses 10% of its each year. What do you know?

"Centripetal is the word used to describe a vector that always points toward the centre of a circular path."

The centripetal acceleration vector is an acceleration in the radial direction that is directed towards the centre of the circular line of motion. It runs perpendicular to the linear motion, or v.

The direction of the velocity shift for a ball travelling around a curve is in the direction of the curve's centre. Centripetal acceleration is the acceleration that is directed towards the centre of a curved or circular route.

Any force that changes the path of motion towards the centre of a circular motion is known as a centripetal force. The portion of the force that produces the centripetal force is the part that is perpendicular to the velocity.

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Answer:

15x - 6

Step-by-step explanation:

To solve this, Given the expression 12 x + 3 ( x − 2 )

To simplify, expand

12 x + 3 * x −3 * 2

Knowing that

- * + = -

then the expression becomes

= 12 x + 3x - 6

= 15x - 6

The expression given is equivalent to 15x - 6

Answer: look at explanation <3

Step-by-step explanation:

Steps to find the equation of a line from two points:

Find the slope using the slope formula

Use the slope and one of the points to solve for the y-intercept (b).

One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

Answer:5

Step-by-step explanation: Because I said so

Answer:

9

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

a) The rate of change of the drug's concentration at 50 minutes is 1.7 mg/min.

b) The rate of change of the drug's concentration at 85 minutes is 0.2 mg/min.

c) The drug's concentration is decreasing at 115 minutes.

a) The central difference approach can be used to calculate the rate of medication change after 50 minutes.

f'(x) = (f(x+h) - f(x-h))/2 × h    ....(1)

As per the question, we have h = 10 and x = 50

Substitute the values of h = 10 and x = 50 in (1),

f'(40) = (f(50+10) - f(50-10))/2 × 10

f'(40) = (89-55)/20

f'(40) = 1.7 mg/min

b) For the rate of change of concentration at 85 minutes:

Here, f(80) = 111 mg and f(90) = 113.

The concentration at 90 minutes is 113 mg.

Rate of change = (f(90) - f(80)) / h

= (113 - 111) /10

= 2 / 10

= 0.2 mg/min

c) Since the concentration at 120 minutes (68 mg) is lower than the concentration at 110 minutes (103 mg), the drug's concentration is decreasing.

Therefore, the drug's concentration is decreasing at 115 minutes.

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Answer:

25 flowers are present in the garden

Step-by-step explanation:

we can solve this problem is by divide 15 by 3 since we know the ratio is 3:2. 15 divided by 3 is 5, so we then multiply 2 by 5 to get the answer of 10 daisies in the garden. Then we simply add the flowers together to get 25!  Hope this helps you!

The probability that the next report will weigh less than 45 grams = 0.106

In this question, we have been given the weight of written reports produced in a certain department has a normal distribution with mean 60 grams and standard deviation 12 grams.

We need to find the probability that the next report will weigh less than 45 grams.

We have mean= 60 grams

Standard Deviation = 12 grams

First we convert 45 to z score.

45 converted to z score for given mean and standard deviation will be:

z = (45 - 60)/12

z = -1.25

So, from standard normal table a P-value:

P(x<45) = 0.10565

Therefore, the probability would be 0.10565

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Answer:

To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

Step-by-step explanation:

use the total sum of 180° if two angles are given, add them together and then subtract from 180°, if two angles are the same and unknown, subtract the known angle from 180° and then divid by 2

Answer:

62

Step-by-step explanation:

The area and perimeter of the shape are 370mm² and 90mm respectively.

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

Perimeter is the addition of the sides of the shape.

Therefore, the perimeter of the shape = 15+15+30+30 = 30+60 = 90mm

The area of the shape = area of the whole shape - area of the cut out

area of the whole shape = l×w

= 30×15 = 450mm²

area of the cut out =l×w

8× 10 = 80mm²

area of the shape = 450-80

= 370mm²

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Answer:

Step-by-step explanation:

The equation 3+7+2=+2 is actually not true, but false.

The equation 3+7+2=+2 is actually not true, but false. This is because the sum of 3, 7, and 2 is 12, not 2.

In general, an equation is considered true if the expressions on both sides of the equal sign are equivalent in value. In this case, the expressions on the left-hand side (3+7+2) and the right-hand side (+2) are not equivalent, and therefore the equation is false.

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Based on the original image, if this figure is reflected across the x-axis the orientation of the new or reflected figure should be the one shown in A or the first image.

In geometry and related fields, a reflection is equivalent to a mirror image. Due to this, the reflection of an image is the same size as the original image, it has the same sides and also the same dimensions. However, the orientation is going to be inverted, this means the right side is going to show on the left side and vice versa.

Based on this, the image that correctly shows the reflection of the figure is the first image or A.

Note: This question is incomplete; below I attach the missing images:

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Function g lingered for a while.

h = v 0 y 2 2 g . This equation, which only depends on the vertical component of the initial velocity, specifies the maximum height of a projectile above its launch site.

The projectile formula's maximum height from the graph is H = u 2 sin 2 2 g.

An item named g was launched from a higher location when x=0... g(0)> f(0).

A higher point was reached by the object of  g.

When the object was launched, f's slope was greater than g's slope.

The launch velocity of object f was greater.

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The global extreme values of the function `f(x,y) = 11x - 5y` under given conditions are:`f(x,y) = 16x + 15` (maximum)`f(x,y) = 11x - 55` (minimum).

Given function is `f(x,y)=11x−5y`We need to determine the global extreme values of the given function under the following conditions:y ≥ x - 3y ≥ -x - 3y ≤ 11Now, we need to find the critical points of the given function. For that, we'll calculate partial derivatives of the given function w.r.t x and y.`∂f/∂x = 11``∂f/∂y = -5`As we can see, the partial derivative of the function w.r.t x is positive. Therefore, the critical points of the given function would be the points where `∂f/∂y = -5 = 0`.Since there's no such point satisfying the above equation under given conditions, we can say that there's no critical point under given conditions.Now, let's evaluate the function at the boundaries given:At `y = x - 3`, `f(x,y) = 11x - 5y``= 11x - 5(x - 3)``= 6x + 15`At `y = -x - 3`, `f(x,y) = 11x - 5y``= 11x - 5(-x - 3)``= 16x + 15`At `y = 11`, `f(x,y) = 11x - 5y``= 11x - 5(11)``= 11x - 55`Now, to find the maximum value of `f(x,y)` under given conditions, we need to choose the maximum value among the above calculated values.In this case, `f(x,y)` is maximum at `y = -x - 3`, which is `16x + 15`.Therefore, the maximum value of `f(x,y)` under given conditions is `16x + 15`.Similarly, to find the minimum value of `f(x,y)` under given conditions, we need to choose the minimum value among the above calculated values.In this case, `f(x,y)` is minimum at `y = 11`, which is `11x - 55`.Therefore, the minimum value of `f(x,y)` under given conditions is `11x - 55`.Hence, the global extreme values of the function `f(x,y) = 11x - 5y` under given conditions are:`f(x,y) = 16x + 15` (maximum)`f(x,y) = 11x - 55` (minimum).

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Answer:

Step-by-step explanation:

Hello, I believe that we can consider a different from 0.

By definition of the roots we can write.

\(ax^2+bx+c=a(x-\alpha)(x-\beta)=a(x^2-(\alpha + \beta)x+\alpha \cdot \beta)\\\\\text{So we can say that:}\\\\\alpha + \beta = \dfrac{-b}{a}\\\\\alpha \cdot \beta=\dfrac{c}{a}\\\\\text{So the expected quadratic equation is}\\\\(x+\dfrac{b}{a})(x-\dfrac{c}{a})=0\\\\<=> \Large \boxed{\sf \bf \ (ax+b)(ax-c)=0 \ }\)

Thank you

The binomial probability formula is used to calculate the probability of a specific number of successes in a fixed number of independent trials, where each trial can only result in success or failure. It is used to model situations where there are only two possible outcomes for each trial, and where the trials are independent and identically distributed.

The formula for binomial probability is:

\(P(x) = (n choose x) * p^x * (1 - p)^{n-x}\\\)

where P(x) is the probability of x successes in n trials, p is the probability of success on each trial, (n choose x) is the binomial coefficient which gives the number of ways to choose x successes from n trials, and (1 - p) is the probability of failure on each trial.

The binomial probability formula can be used in a variety of applications, such as:

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\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ n\theta = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \theta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=7 \end{cases}\implies 7\theta =180(7-2) \\\\\\ 7\theta =900\implies \theta =\cfrac{900}{7}\implies \theta =128\frac{4}{7}\implies \theta \approx 128.57^o \\\\[-0.35em] ~\dotfill\)

\(\underset{in~degrees}{\textit{sum of all exterior angles}}\\\\ n\beta = 360 ~~ \begin{cases} n=\stackrel{number~of}{sides}\\ \beta = \stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ n=7 \end{cases}\implies 7\beta=360 \\\\\\ \beta=\cfrac{360}{7}\implies \beta=51\frac{3}{7}\implies \beta\approx 51.43^o\)

Answer:

y=x+3

Step-by-step explanation:

The slope is 1 and the y-intercept is (0,3).

Answer:

x=35°   y= 75°   z = 70°

Step-by-step explanation:

Y = x+40   (known)

z = 2x    (known)

x + y + z = 180     (triangle property)

x + (x+40) + 2x = 180   (substitution)

4x + 40 = 180

4x = 140

x = 35

y = x + 40 = 75

z = 2x = 70

The value of x if /XYU = (10x + 10)° is 8

It is important to note the properties of a Rhombus;

Then, we have that;

m/XYU = (10x + 10)° = 90 degrees

10x + 10 = 90

collect the like terms

10x = 90 - 10

subtract the values

10x = 80

x = 8

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Using the relation between velocity, distance and time, it is found that she traveled 15 seconds at 10 m/s and 7 seconds at 50 m/s.

Velocity is distance divided by time, that is:

v = d/t.

For the first part, we have that she cycled a distance of d m in t seconds, at a velocity of 10 m/s, hence:

10 = d/t

d = 10t.

For the second part, we have that she cycled a distance of 500 - d meters, in 22 - t seconds, at a velocity of 50 m/s, hence:

50 = (500 - d)/(22 - t).

Since d = 10t, and applying cross multiplication:

500 - 10t = 50(22 - t)

500 - 10t = 1100 - 50t

40t = 600

t = 600/40

t = 15.

22 - t = 22 - 15 = 7, hence:

She traveled 15 seconds at 10 m/s and 7 seconds at 50 m/s.

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Answer:

yes this is a function because you cannot touch more than one point at any location on the line

Step-by-step explanation:

Answer:

Step-by-step explanation:

yes it is a function because it goes in a straight line and goes through x and y

(a) Let X be the weight of a male baby less than 2 months old in the United States. Then X ~ N(11.4, 2.9^2). We want to find P(X > 13).

Using the Z-score formula:

z = (13 - 11.4) / 2.9 = 0.55

Looking up the area to the right of z = 0.55 in the standard normal table or using a calculator, we find the probability to be 0.2912.

Therefore, the proportion of babies weighing more than 13 pounds is approximately 0.2912 or 29.12%.

(b) We want to find P(X < 15).

Using the Z-score formula:

z = (15 - 11.4) / 2.9 = 1.24

Looking up the area to the left of z = 1.24 in the standard normal table or using a calculator, we find the probability to be 0.8925.

Therefore, the proportion of babies weighing less than 15 pounds is approximately 0.8925 or 89.25%.

(c) We want to find P(10 < X < 12).

Using the Z-score formula:

z1 = (10 - 11.4) / 2.9 = -0.48

z2 = (12 - 11.4) / 2.9 = 0.21

Looking up the area to the left of z = -0.48 and the area to the left of z = 0.21 in the standard normal table or using a calculator, we find the probabilities to be 0.3156 and 0.5832, respectively.

Therefore, the proportion of babies weighing between 10 and 12 pounds is approximately 0.5832 - 0.3156 = 0.2676 or 26.76%.

(d) We want to find P(X > 17).

Using the Z-score formula:

z = (17 - 11.4) / 2.9 = 1.93

Looking up the area to the right of z = 1.93 in the standard normal table or using a calculator, we find the probability to be 0.0274.

Since this probability is less than 0.05, which is a common threshold for determining whether an event is unusual, we can say that it is unusual for a baby to weigh more than 17 pounds.

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The date which is 100 days ago from 12 February 2023  is equal to

November 04, 2022 .

Present date is equal to 12 February 2023.

Date which is 100 days is written as :

January month has 31 days.

December month has 31 days.

November month has 26 days.

Total days equal to :

( 31 + 31 + 26 + 12 ) days = 100 days

100 days ago from 12 February 2023 is equal to :

12 February 2023  minus 100 days is 04 days 2022.

Therefore, the day which is 100 days ago from 12 February 2023 is given by   November 04, 2022 .

The above question is incomplete , the complete question :

What is 100 days ago from 12 February 2023 ?

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Answer: B

Step-by-step explanation:

9/6 divided by 3/2

you flip 3/2 to 2/3 and multiply

9/6 times 2/3 = 1