SNOWFALL In February 2015, South Bend, Indiana , saw one of its snowiest Februarys on record. The snowfall in February 2015 was 0.6 inch more than twice the snowfall in February 2020. The snowfall in February 2015 was also 8.35 inches fewer than 2.5 times the snowfall in February 2020. Write and solve an equation to find the amount of snowfall in February 2015 and in February 2020 .

Answer:

3

Step-by-step explanation:

Answer:

\(\frac{3a+b}{9}\)

Step-by-step explanation:

Both fractions have a common denominator of 9

Add the numerators, placing them over 9

= \(\frac{3(a-b)+4b}{9}\)

= \(\frac{3a-3b+4b}{9}\)

= \(\frac{3a+b}{9}\)

Answer:

It should be D because I have done that a couple days ago

Answer: C

Phase shift to the left would mean inside the parenthesis is a + sign. A plus sign indicates a shift to the left.

We are unable to perform any additional iterations because y′(1)=0, hence the Newton's technique fails with the provided initial assumption.

An equation is a mathematical formula that joins two statements and uses the equal symbol (=) to indicate equivalence. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign divides the variables 3x + 5 and 14. The relationship between the two sentences on either side of a letter is explained by a mathematical formula. There is frequently only one variable, which also serves as the symbol. for instance, 2x - 4 = 2.

given

by newton's method

y = x3 − 2x − 2, x1 = 0

y′(1)=6−12+6

y′(1)=0

We are unable to perform any additional iterations because y′(1)=0, hence the Newton's technique fails with the provided initial assumption.

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Answer:

y = √ x+12(square root of x+12)

Step-by-step explanation:

x = y^2 - 12

x+12 = y^2

y^2 = x+12

y = √ x+12

Answer:

Question 1. Find the inverse of the function y = x2 – 12.

B. y=+/- sqrt x+12 end sqrt

Question2. Find the inverse of the function y=2x2+2

D. y= +/- sqrt 1/2x-1 end sqrt

Answer:

B!

Step-by-step explanation:

pls brainliest! I answered first

Answer:

pls give other person braliest. this is his alt

Step-by-step explanation:

Answer:

Option C.

Step-by-step explanation:

Kurt started for the school at 07:35 and ends at 08:25.

Time taken by Kurt to reach the school

= 08:25 - 07:35

= (07 hours + 85 minutes) - (07 hours + 35 minutes) [Since 08 hours + 25 minutes = 07 hours + (60 + 25)minutes]

= 85 minutes - 35 minutes

= 50 minutes

Time taken by Drew to reach the school

= 08:30 - 07:55

= (07 hours + 90 minutes) - (07 hours + 55 minutes) [Since 08 hours + 30 minutes = 07 hours + (60 + 30)minutes]

= 90 minutes - 55 minutes

= 35 minutes

Difference in the time taken by Kurt and Drew = 50 - 35 = 15 minutes.

Therefore, Drew is 15 minutes faster than Kurt.

Option C. is the answer.

Answer:

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Step-by-step explanation:

Answer:

21x - 42

Step-by-step explanation:

7(3x - 6)

21x - 42

Answer:

see below

Step-by-step explanation:

The product will be product because when you multiply 2 negative numbers together, it will always equal a positive number because the negative signs cancel each other out.

Hope this helps :)

A horizontal tangent line has a slope of 0, so the points where the tangent line is horizontal are the points where the slope is 0.

A vertical tangent line has an undefined slope, so the points where the tangent line is vertical are the points where the slope is undefined.

The slope of the tangent line at a point on the cardioid can be found using the following formula:

m = dy/dx = (1 + r cos(theta)) sin(theta) - r sin(theta) cos(theta)

where r is the distance from the origin to the point on the cardioid and theta is the angle between the line connecting the origin to the point and the positive x-axis.

The points where the tangent line is horizontal are the points where the slope is 0. This occurs when sin(theta) = 0, which means that theta = 0, pi/2, pi, or 3pi/2.

The points where the tangent line is vertical are the points where the slope is undefined. This occurs when r = 0, which means that theta = pi/2 or 3pi/2.

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A horizontal tangent line has a slope of 0, so the points where the tangent line is horizontal are the points where the slope is 0.

A vertical tangent line has an undefined slope, so the points where the tangent line is vertical are the points where the slope is undefined.

The slope of the tangent line at a point on the cardioid can be found using the following formula:

m = dy/dx = (1 + r cos(theta)) sin(theta) - r sin(theta) cos(theta)

where r is the distance from the origin to the point on the cardioid and theta is the angle between the line connecting the origin to the point and the positive x-axis.

The points where the tangent line is horizontal are the points where the slope is 0. This occurs when sin(theta) = 0, which means that theta = 0, pi/2, pi, or 3pi/2.

The points where the tangent line is vertical are the points where the slope is undefined. This occurs when r = 0, which means that theta = pi/2 or 3pi/2.

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Answer:

[-6, 3]

Step-by-step explanation:

The range refers to the interval between the minimum and maximum possible y-values.

Solving :

The range of the graph is given by R [ -6 , 3 ]

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the graph be represented as A

Now , the value of A is given in the figure where

The maximum value of graph A = 3

The minimum value of graph A = -6

So , the range of the function is R = maximum value to minimum value

The domain is all the values of the graph from left to right. The range is all the values of the graph from down to up

Hence , the range of the function is [ -6 , 3 ]

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Answer:

\(10^{-1}\)

Step-by-step explanation:

0.1 can be written as \(10^{-1}\) as a power of 10.

The given equation 6x+2y=13 is a linear equation in two variables. In this equation, x and y are variables while 6 and 2 are their respective coefficients, and 13 is a constant term. The equation can be represented as a straight line on a graph. The slope of this line is -3, and it intersects the y-axis at the point (0, 13/2).

In this equation, if we substitute x=0, then y=13/2, and if we substitute y=0, then x=13/6. These are the two points that the line passes through the x and y-axis.

A linear equation is a polynomial equation that is of the first degree, meaning the variables in the equation are not raised to any powers other than one. This equation is in the standard form where the variables are in the first degree. 6x + 2y = 13 is the form of the given linear equation. x and y are the two variables, and 6 and 2 are their respective coefficients. The equation can be represented as a straight line on a graph. The slope-intercept form of this equation is y = -3x + 13/2. The equation is also in standard form.

When x = 0, the equation becomes 2y = 13. This means that the point of intersection is (0, 13/2) when y = 0, the equation becomes 6x = 13, and the point of intersection is (13/6, 0). The slope of the line is -3. When x increases by 1, y decreases by 3.

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Answer:

D

Step-by-step explanation:

2(1) + 4 = 6

2(2) + 4 = 8

2(3) + 4 = 10

Answer:

D. (1, 6), (2, 8), (3, 10)

Step-by-step explanation:

f(x) = 2x + 4

(1, 6)

x = 1

output = 6

f(1)

f(1) = 2(1) + 4 = 6

(2, 8)

x = 2

output = 8

f(2)

f(2) = 2(2) + 4 = 8

(3, 10)

x = 3

output = 10

f(3)

f(3) = 2(3) + 4 = 10

so, the answer is D. (1, 6), (2, 8), (3, 10)

No, A does not necessarily equal B.

The equation sin 2A = sin 2B states that the sine of twice angle A is equal to the sine of twice angle B. From this equation alone, we cannot conclude that angle A is equal to angle B.

The reason for this is that the sine function is periodic, meaning it repeats its values after certain intervals. Specifically, the sine function has a period of 360 degrees (or 2π radians). This means that for any angle A, the sine of 2A will be equal to the sine of 2A + 360 degrees (or 2π radians), and so on.

For example, let's consider two angles A = 30 degrees and B = 390 degrees. Both angles have the same sine of 2A and 2B because 2A + 360 = 2(30) + 360 = 60 + 360 = 420, and 2B + 360 = 2(390) + 360 = 780 + 360 = 1140. Since the sine function repeats after every 360 degrees, sin(2A) = sin(2B) even though A is not equal to B.

Therefore, the equation sin 2A = sin 2B does not imply that A is equal to B. It is possible for different angles to have the same sine value due to the periodic nature of the sine function. Additional information or constraints would be needed to establish a relationship between angles A and B.

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Answer:

Step-by-step explanation:

in complementary angle, the sum of two angle is always 90 degree.

let another angle be x

x+78.7=90

x=90-78.7

x=11.3

therefore anothere angle is 11.3 degree.

Given equation is a first-order nonlinear ordinary differential equation (ODE): y' - (x + y - 1)^2 = 0

What is differential equation ?

A differential equation is an equation that contains at least one derivative of an unknown function, either a normal differential equation or a partial differential equation.

This equation can be solved using various methods, such as numerical methods or analytical methods like the implicit function theorem or the method of characteristics. However, finding an exact solution can be challenging and may not always be possible.

If you would like to find an approximate solution to this ODE, you could use numerical methods such as Euler's method, Runge-Kutta method, or the finite difference method. These methods can provide a numerical approximation to the solution for a given range of x and a specified initial condition.

The given equation is a first-order nonlinear ordinary differential equation (ODE):

y' - (x + y - 1)^2 = 0

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Answer:

Option B - What sequence is geometric?

B. 10, 7.5, 5.625, …​True Geometric Sequence

Step-by-step explanation:

What sequence is geometric?

A. 13, 16.5, 20, …

B. 10, 7.5, 5.625, …

C. 5, 5.5, 5.55, …

D. 16, 17.1, 18.2, …​

Step-by-step solution:

Data:

a1 = 10 , r = 7.5000 , n = 3

an = a1 r n-1 --- (i)

Solution:

Now putting values in eq (i)

a3 = (10) (7.5000) 3-1

a3 = (10) (7.5000) 2

a3 = (10) (56.250)

a3 = 562.50

Now Finding the sum of the Geometric Series

a1 + a2 + a3 + ... + an

= 10  + 75  + 562.5

= 647.5

Result

Nth term value

562.50

Geometric Sum

647.5

Geometric Sequence

10, 7.5, 5.625

Hope it helps!

Answer:

AD=7.5

Step-by-step explanation:

If AB=15 and D is the midpoint that means AD=DB which is half of AD,

AD=AB/2

AD=15/2

therefore AD=7.5

The inequality representing d, the total number of days Jayden can rent the car while staying within his budget is 54.35d + 38.25 ≤ 310

Given:

Charge per day = $54.35

Charge per mile = $0.09

Total miles = 425 miles

Amount to spend = at most $310

let

d = number of days

The inequality:

54.35 × d + 0.09 × 425 ≤ 310

54.35d + 38.25 ≤ 310

54.35d ≤ 310 - 38.25

54.35d ≤ 271.75

d ≤ 271.75 / 54.35

d ≤ 5 days

Therefore, the total number of days Jayden can rent the car while staying within his budget is 5 days

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Answer:

Blank space= 1.96

In an incidence geometry with the additional axiom that every line has exactly three points lying on it, the minimum number of points required is 4.

This is because a line must have at least two-points to exist, and if it has only two points, it is not possible to have another point lying on it (since every line must have exactly three points).

Hence, there must be at least 4-points to create two lines such that each line contains exactly three points.

Also, with 4 points, it is possible to create 6 lines such that each line contains exactly 3 points, forming a configuration known as the Fano-plane, which is the smallest example of an incidence geometry that satisfies the given axiom.

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a) If you draw one card at random, the probability it is a two or a four is 4/52 or 1/13.

b) If you draw one card at random, the probability it is a spade or a King is 16/52 or 4/13.

c) If you draw two cards at random, the probability of drawing two hearts, with replacement is

(13/52) × (13/52) = 169/2704 or 1/16.

d) If you draw two cards at random, the probability of drawing two Aces, without replacement is (4/52) × (3/51) = 12/2652 or 1/221.

Solution details:

a) If you draw one card at random, the probability it is a two or a four is 4/52 or 1/13.

There are four 2s and four 4s in the deck.

Therefore, the probability of drawing one of these cards is 4/52.

Simplifying it, 1/13.

b) If you draw one card at random, the probability it is a spade or a King is 16/52 or 4/13.

There are four Kings in the deck, and there are 13 spades in the deck, including the King of spades.

There are four Kings, including the King of spades.

Four plus 13 equals 16 total cards.

The probability of drawing one of these cards is 16/52.

Simplifying it, 4/13.

c) If you draw two cards at random, the probability of drawing two hearts, with replacement is

(13/52) × (13/52) = 169/2704 or 1/16.

There are 13 hearts in the deck, and we’re assuming that you’re drawing with replacement.

As a result, the probability of drawing two hearts is (13/52) × (13/52).

Simplifying it, 169/2704.  

d) If you draw two cards at random, the probability of drawing two Aces, without replacement is (4/52) × (3/51) = 12/2652 or 1/221.

Since the first ace has a probability of 4/52, or 1/13, the probability of the second ace is 3/51.

This is since one card has been removed from the deck, making it 51 instead of 52.

Multiplying the two probabilities gives us (4/52) × (3/51) or 12/2652. Simplifying it, 1/221.

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The probability of drawing two aces from a well-shuffled deck of 52 cards without replacement is 0.45%.

The probability of drawing two aces from a well-shuffled deck of 52 cards without replacement can be calculated as follows:

First, we calculate the probability of drawing an ace on the first draw. Since there are four aces in the deck and 52 cards in total, the probability of drawing an ace on the first draw is:

P(Ace on first draw) = 4/52 = 1/13

Next, we need to calculate the probability of drawing an ace on the second draw, given that an ace was already drawn on the first draw. Since there are now only three aces remaining in the deck and 51 cards in total, the probability of drawing an ace on the second draw is:

P(Ace on second draw given an ace on first draw) = 3/51

To calculate the probability of drawing two aces, we multiply the probability of drawing an ace on the first draw by the probability of drawing an ace on the second draw, given that an ace was already drawn on the first draw:

P(Drawing two aces) = P(Ace on first draw) x P(Ace on second draw given an ace on first draw)

P(Drawing two aces) = (1/13) x (3/51)

P(Drawing two aces) = 0.0045 or approximately 0.45%.

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The number line that models the total amount of time Ava will practice piano in all is shown in the figure and  Ava will practice piano for a total of 6 hours.

We can model the total amount of time Ava will practice piano in all using a number line. Since she practiced for 3 hours yesterday and is going to practice for another 3 hours today, we can represent this on a number line as follows:

The number line above represents the total amount of time Ava will practice piano in all. The first mark (0) represents the starting point, which is when she has not started practicing yet. The second mark (3) represents the time she spent practicing yesterday, and the third mark (6) represents the time she will spend practicing today. The distance between the first mark and the third mark (0 to 6) is the total amount of time Ava will practice piano in all, which is 6 hours.

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Answer:

I think thé answer is C 0 contadict me if it is dring please

Option D is correct, 6 is the value of the range in the given graph.

A relation is a function if it has only One y-value for each x-value.

We have to find the  values are in the range of the function graphed below

The domain of the given graph is -2≤x≤4

What can go into a function is called the Domain.

What may possibly come out of a function is called the Codomain.

What actually comes out of a function is called the Range.

The range of the given graph is y values.

The y value is 6

Hence, 6 is the value of the range in the given graph.

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Answer:

Larger angle measures 110°

Step-by-step explanation:

(7x + 19)° + (5x + 5)° = 180° (Supplementary angles)

or, 12x + 24° = 180°

or, 12x = 156°

or, x = 13°

(7x + 19)° = (7 * 13 + 19)° = 110°

(5x + 5)° = (5 * 13 + 5)° = 70°

Company B offers a plan with unlimited minutes for $50 per month. and Company A offers a plan with 1000 minutes for $60 per month and a $0.10 per minute overage charge. So, Company B would be recommend Rebecca.

1. Based on Frank's usage, I would recommend Company B's cell phone plan. Company B offers a plan with unlimited minutes for $50 per month. This plan would eliminate Frank's overage charges and save him money compared to Company A's plan, which offers 500 minutes for $40 per month with a $0.10 per minute overage charge. Under Company A's plan, Frank's average monthly overage of 30 minutes would result in an additional charge of $3 per month, bringing his total bill to $43 per month.
2. For Rebecca's usage, I would recommend Company A's cell phone plan. Company A offers a plan with 1000 minutes for $60 per month and a $0.10 per minute overage charge. Based on Rebecca's average overage of 280 minutes per month, her additional charge would be $28 per month, bringing her total bill to $88 per month. Company B does not offer a plan with enough minutes to accommodate Rebecca's usage without incurring excessive overage charges.

The difference is of 0.10$. So, Company B would be recommend Rebecca.

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Answer:

  60°

Step-by-step explanation:

You want the measure of angle 1 in the given diagram.

Transversal TR creates corresponding angles 1 and 5, so those are congruent.

It is given that angles 4 and 5 are congruent.

Transversal SE creates alternate interior angles 2 and 4, so those are congruent.

Angle bisector SE creates angles 2 and 3 congruent.

Now we have ∠1≅∠5≅∠4≅∠2≅∠3.

Hence all of the angles are congruent to each other, and angle 1 is 1/3 of 180°.

  m∠1 = 60°