Cody is boiling water to cook pasta for dinner. The water in the pot starts at 67°F and the temperature increases by 13°F per minute
Write an equation that shows how the temperature of the water in °F,y, depends on the number of minutes Cody has been heating it, X.

Answer:

(-11,-3)

Step-by-step explanation:

check is the stetmint is true . -3 grter or eqoule -33+5 that true

Angel is incorrect, the domain will ont change with a vertical shift.

Angel says that a vertical shift of the parent function f(x)=x^2 will always change the domain of the function.

Remember that a vertical shift of N units can be written as:

g(x) = f(x) + N

Such that if N is positive, the shift is up, and if N is negative, the shift is down.

Now in this case the function f(x) is a quadratic one, so the domain is the set of all real numbers. Now, adding a constant number to that will not change the domain (but it will change the range) so Angel is incorrect.

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Answer:

64°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

let the third angle be x , then

x + 90° + 26° = 180°

x + 116° = 180° ( subtract 116° from both sides )

x = 64°

the other angle is 64°

We have proven that △ABD ≅ △CBD based on the given information and the SAS congruence criterion.

To prove that △ABD ≅ △CBD, we can use the SAS (Side-Angle-Side) congruence criterion.

Given:

∠BDA ≅ ∠BDC (Both are right angles)

D is the midpoint of AC¯¯¯¯¯

AB¯¯¯¯¯ ≅ BC¯¯¯¯¯

BD¯¯¯¯¯ bisects ∠B

Proof:

Since D is the midpoint of AC¯¯¯¯¯, we have AD ≅ CD by the definition of a midpoint.

AB¯¯¯¯¯ ≅ BC¯¯¯¯¯ (Given)

BD¯¯¯¯¯ is a common side for both triangles.

∠BDA ≅ ∠BDC (Given)

To apply the SAS congruence criterion, we need to show that one pair of corresponding sides and the included angle are congruent in both triangles.

AD ≅ CD (Side) - This is true as D is the midpoint of AC¯¯¯¯¯.

∠BDA ≅ ∠BDC (Included Angle) - Both are right angles.

By the SAS congruence criterion, we can conclude that △ABD ≅ △CBD.

Therefore, we have proven that △ABD ≅ △CBD based on the given information and the SAS congruence criterion.

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The percentage of the can that is not occupied by tennis balls is approximately 80.14%.

We have,

The volume of the can = The volume of the cylinder - The volume of the three tennis balls.

The volume of the cylinder.

V(cylinder) = πr²h

where r is the radius and h is the height of the cylinder.

Since the can holds three tennis balls snugly, the height of the cylinder is equal to three times the diameter of a tennis ball.

= 3 × 2(3.5 cm)

= 21 cm.

V(cylinder)

= π (3.5 cm)² (21 cm)

= 2709.38 cm³

The volume of one tennis ball.

V (ball) = (4/3)πr³

where r is the radius of the tennis ball. Thus,

V(ball) = (4/3)π(3.5 cm)³ = 179.594 cm³

The total volume of the three tennis balls is:

V(3balls) = 3 V(ball)

= 3(4/3) π (3.5 cm)³

= 538.782 cm³

The volume of the can not be occupied by tennis balls.

V(not occupied) = V(cylinder) - V(3 balls)

= 2709.38 - 538.782

= 2170.598 cm³

The percentage of the can that is not occupied by tennis balls.

percentage = (V(not occupied / V(cylinder)) × 100%

= (2170.598 cm^3/2709.38 cm^3) × 100%

= 80.14%

Therefore,

The percentage of the can that is not occupied by tennis balls is approximately 80.14%.

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Answer:

-2/4 or -1/2

Step-by-step explanation:

y1-y2                   -1-1=-2                

_____                 6-2=4

x1-x2

Answer:

slope= -4

Step-by-step explanation:

1-(-1)=2

(-2) - 6 = -8

-8/2= -4

The angles <1, <2, and <3 will not add up to 180 degrees. The angles <1 and <2 are alternate interior angles, and the angles <2 and <3 are also alternate interior angles, AB is parallel to CD.

The angle sum property of a triangle states that the sum of the interior angles of a triangle is always equal to 180 degrees. This means that if you measure the angles inside any triangle and add them up, the result will always be 180 degrees. This property holds true for all types of triangles, whether they are equilateral, isosceles, or scalene.

To understand this property, consider a triangle ABC with interior angles angle A, angle B, and angle C. If we draw a line segment from vertex A to a point D on side BC such that it is parallel to the side AB, then we can see that angle A and angle C are alternate interior angles of the parallel lines AB and CD. Similarly, angle B and angle C are alternate interior angles of the parallel lines BC and AD.

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Answer:

\(y = 19000x \\ 19000 = 1 \times 19000 \\ 114000 = 6 \times 114000 \\ 133000 = 7 \times 19000\)

Step-by-step explanation:

b=1 the person above or below me has the explanation

There is a 90% probability that Abby and Bridget are seated adjacent to each other in the same row or the same column.

There are 10 total seating positions, and Abby and Bridget can be seated in any of these positions. There are two rows, and in each row there are 3 possible seating positions for Abby and 3 possible seating positions for Bridget, for a total of 6 possible seating arrangements in each row. There are also 3 possible seating positions for Abby and 3 possible seating positions for Bridget in the same column, for a total of 3 possible seating arrangements in the same column. Therefore, there are a total of 6+3=9 possible seating arrangements in which Abby and Bridget are seated adjacent to each other in the same row or the same column.

Out of all the possible seating arrangements, the probability that Abby and Bridget are seated adjacent to each other in the same row or the same column is therefore 9/10. This can be expressed as a fraction or as a decimal:

\(\frac{9}{10}\) = 0.9

This means that there is a 90% probability that Abby and Bridget are seated adjacent to each other in the same row or the same column.

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The x value is 12, length is 14 feet and breath is 9 feet when the area of rectangle is 126 square feet.

Given that,

The rectangle has a surface area of 126 square feet.

The length is x+2 and the breath is x-3.

We have to find the x value, length and breath.

We know that,

The area of the rectangle is length × breath.

126=(x+2)(x-3)

126= x²-3x+2x-6

126= x²-x-6

x²-x-6-126=0

x²-x-132=0

x²-12x+11x-132=0

x(x-12)+11(x-12)=0

(x-12)(x+11)=0

x-12=0     or   x+11=0

x=12        or    x=-11

We take the x as positive so its 12.

Length is x+2=12+2=14

Breath is x-3=12-3=9

Therefore, The x value is 12, length is 14 feet and breath is 9 feet when the area of rectangle is 126 square feet.

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Jim did not buy any tickets (n_Jim = 0).

Larry bought 7 more tickets than Jim.

To determine the number of tickets Larry bought more than Jim, we need to find the values of n for Larry and Jim's ticket purchases.

For Larry:

Let's substitute C = $170 into the equation C = 24n + 2 and solve for n:

$170 = 24n + 2

Subtracting 2 from both sides:

$168 = 24n

Dividing both sides by 24:

n = 7

For Jim:

We can calculate the number of tickets Jim bought by subtracting 12 from Larry's number of tickets:

n_Jim = n_Larry - 12

n_Jim = 7 - 12

n_Jim = -5

Since we cannot have a negative number of tickets, we can conclude that Jim did not buy any tickets (n_Jim = 0).

To find the difference in the number of tickets bought, we subtract the number of tickets Jim bought from the number of tickets Larry bought:

n_difference = n_Larry - n_Jim

n_difference = 7 - 0

n_difference = 7

Therefore, Larry bought 7 more tickets than Jim.

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Question

The equation C=24n+2 represents the cost, C, in dollars, of buying n tickets to a play. J $170. How many more tickets did Larry buy than Jim? 12

1. The velocity at time t , v(t) = (18t² + 3 ) m/s

2. The velocity at time t = 3 seconds = 165 m/s

3. The acceleration at time t, a(t) =( 36t )m/s²

4. The acceleration at time t = 3 seconds = 108 m/s²

The quantity that tells us how fast an object is moving anywhere along its path is the instantaneous velocity.

Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.

1. s(t) = 6t³ + 3t +9

to find the velocity at time t, we differentiate s(t)

= 18t² + 3

2. at t = 3s

= 18(3)² +3

= 165 m/s²

3. v(t) = 18t² + 3

to get the acceleration at time t, we differentiate v(t)

= 36t

4. when t = 3

a = 36 × 3

= 108 m/s²

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Answer:

5) Slope is 3/2 or 1.5

6) Slope is -1.

Step-by-step explanation:

To find the slope of any line given two points, we can use the slope-formula:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

Let's use the slope formula for each of our tables.

Table 5)

From this table, let's pick any two points. It really doesn't matter which we pick. I'm going to pick the first two columns.

So, our points are (0, -4) and (2, -1).

Now, we can use the slope formula. Let's let (0, -4) be (x₁, y₁) and let's let (2, -1) be (x₂, y₂). Substitute:

\(m=\frac{-1-(-4)}{2-0}\)

Simplify:

\(m=\frac{-1+4}{2}\)

Add:

\(m=\frac{3}{2}=1.5\)

So, the slope of the line from Table 5 is 3/2 or 1.5.

Table 6:

Again, we can pick any two points. I'm going to use the first two columns.

So, our points are (-4, 7) and (-1, 4).

Let's let (-4, 7) be (x₁, y₁) and let's let (-1, 4) be (x₂, y₂). Substitute:

\(m=\frac{4-7}{-1-(-4)}\)

Simplify:

\(m=\frac{4-7}{-1+4}\)

Add or subtract:

\(m=\frac{-3}{3}\)

Divide:

\(m=-1\)

So, the slope of the line from Table 6 is -1.

And we're done!

16 boxed lunch cost $187.2.

Given that a company orders 20 boxed lunches from a deli for $234.00.

Each boxed lunch costs the same amount.

20 boxed lunches from a deli for $234

1 boxed lunches from a deli for $234/20 = $11.7

Hence the cost of 16 boxed lunch is = $11.7*16 = $187.2

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Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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Answer:

O (1,-1)  is collinear with (2, 1) and (3, 3).

Step-by-step explanation:

equation of line in point slope form is

y-y1/x-x1 = m

where m is the slope of line

slope of line is given by

m = (y2-y1)/(x2-x1)

where(x1,x2) and (y1,y2) are points on the given line

_______________________________________

Given point

(2, 1) and (3, 3)?

m = 3-1/3-2 = 2

Equation of line

y-1/x-2 = 2

=> y-1 = 2(x-2)

=> y-1 = 2x-4

=> y= 2x-4+1

=> y = 2x-3

col-linear points are one which lie on the same line

To solve the problem we will check which  of the given points satisfy the equation of line derived above.

y = 2x-3

(0,0)

if we put value of x = 0 the above equation we should get y =0

y = 2*0 -3 = -3

since -3 is not equal to 0, hence (0,0) is not collinear with  (2, 1) and (3, 3).

1,-1

y = 2*1 -3 = -1

since -1 is  equal to -1, hence (1,-1) is collinear with  (2, 1) and (3, 3).

(4,4)

y = 2*4-3 = 5

since 5 is not equal to 4 , hence (4,4) is not collinear with  (2, 1) and (3, 3).

(-1,2)

y = 2*-1 -3 = -5

since -5 is not equal to 2, hence (-1,2) is not collinear with  (2, 1) and (3, 3).

Hence answer is O (1,-1)  s collinear with (2, 1) and (3, 3).

Answer:

I'm guessing the question would be how many minutes did it take for the water to drain. The answer to that would be 5.8333333 just round that to the nearest whole number.

Step-by-step explanation:

Hope it is right.

Given:

Consider the given graph as a reference of the solution.

To find:

Explanation:

By analyzing the graph, we can define the coordinate of vector u and v:

Now, let perform the dot product of two vectors,

Now, perform the required operation,

Final answer:

Hence, the required solution is:

With a scaling ratio of 5:2, the larger cylinder's volume is (C) 70m³.

A scale factor is used when a shape is enlarged and each side is multiplied by the same quantity.

This number represents the scaling factor. Map scale factors are used to show distances between locations accurately.

The new shape created by scaling the original shape is twice as big when the scale factor is 2.

Thus, calculate the larger cylinder's volume as follows:

x/5 = 28/2

2x = 28*5

2x = 140

x = 70m³

Therefore, with a scaling ratio of 5:2, the larger cylinder's volume is (C) 70m³.

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Complete question:

The scale factor of two similar cylinders is 5:2. The volume of the smaller cylinder is 28 m3. What is the volume of the larger cylinder?

Question 8 options:

A. 700 m3

B. 350 m3

C. 70 m3

D, 437.5 m3

E. 175 m3

Answer: 70m^3

Step-by-step explanation:

I took the test

Answer:

I NEED POINTS

Step-by-step explanation:

Answer:

Step-by-step explanation:

The area of a triangle is 1/2 of the base of the triangle multiplied by the height.

8.7/2 = 4.35

4.35 x 4.5 = 19.575

The answer is 19.575 ft²

Answer:

y=-3x-1

Step-by-step explanation:

The mistake that was made was in the denominator of the work. The second 2 should be the -1. This is what you should get:

\(\frac{-7-2}{2-(-1)}\)

\(\frac{-9}{3} =-3\)

Hope that clear things up.

Answer:

Step-by-step explanation:

ndrew red to green ratio = 12:3 = 4:1

because 12 were red so 3 were green

Pauline to Andrew: x:(10-x) = 4:1

x(1) = 4(10-x)

x = 40 - 4x

5x = 40

x = 8

Pauline red to green ratio: 8:2

2 green lights, 8 red lights  (hope  its help you :) )

Answer:

y = 6x + 23

Step-by-step explanation:

Flip 6x + 23 = 1y into 1y = 6x + 23

Also, 1y is the same as just saying y.

I feel like this question isn't in depth or is the full question. If you made a typo or you want to be more clear for what you need please comment! :)

Answer:

For this problem, you can simply divide both sides by 0.60 in order to isolate x. Your answer should be 30.

Answer:

\( \frac{dy}{dx} = \frac{ \cos(x + y)}{[1 - \cos(x + y)] } \)

Step-by-step explanation:

Let y = sin(x+y)

Differentiating with respect to x on both sides.

\( \frac{dy}{dx} = \frac{d}{dx} \sin(x + y) \\ \\ \frac{dy}{dx} = \cos(x + y)\frac{d}{dx} (x + y) \\ \\ \frac{dy}{dx} = \cos(x + y)(1 + \frac{dy}{dx}) \\ \\ \frac{dy}{dx} = \cos(x + y) +\cos(x + y) \frac{dy}{dx} \\ \\ \frac{dy}{dx} - \cos(x + y) \frac{dy}{dx} = \cos(x + y) \\ \\ \frac{dy}{dx} [1 - \cos(x + y)] = \cos(x + y) \\ \\ \purple {\bold {\frac{dy}{dx} = \frac{ \cos(x + y)}{[1 - \cos(x + y)] }}} \)

Answer:

S_n = 99.18

Step-by-step explanation:

The series is;

200, -160, 128...

Now,the common ration would be gotten by dividing two consecutive terms i.e. a2/a1, a3/a2, a4/a3 e.t.c.

Now,

r = -160/200

r = -4/5

Formula for sum of geometric series is;

S_n = a1(1 - rⁿ)/(1 - r)

Where a1 is the first term and n is the number of terms in the series.

In this case;

a1 = 200

n = 10

Thus;

S_n = 200(1 - (-4/5)^(10))/(1 - (-4/5))

S_n = 99.18

The mean absolute deviation (MAD) for the given data is 1/20. This means that, on average, each data point in the set differs from the mean by 1/20.

To find the mean absolute deviation (MAD) of a set of data, we need to calculate the average difference between each data point and the mean of the data set. Here's how we can calculate it for the given data:

Step 1: Find the mean (average) of the data set.

Mean = (1/4 + 5/8 + 3/8 + 3/4 + 1/2) / 5 = 2/5

Step 2: Calculate the difference between each data point and the mean.

Differences: |1/4 - 2/5|, |5/8 - 2/5|, |3/8 - 2/5|, |3/4 - 2/5|, |1/2 - 2/5|

Step 3: Calculate the absolute value of each difference.

Absolute Differences: 1/20, 1/40, 1/40, 1/20, 1/10

Step 4: Find the average of the absolute differences.

MAD = (1/20 + 1/40 + 1/40 + 1/20 + 1/10) / 5 = 1/20

The MAD provides a measure of the average amount of variation or dispersion in the data set. In this case, a MAD of 1/20 indicates that the data points are relatively close to the mean, with most values falling within 1/20 of the mean value.

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