A cold can of juice is removed from the refrigerator and placed on the kitchen table which of the following statements describes a rate of change of the cans temperature

Answer:

144 - 36×3.142 = 30.888

30.888 ÷4 = 7.722

Answer:

-4

Step-by-step explanation:

negative 4

The time taken by Amy to travel to the place was t = 4 hours.

A measure of average speed is the amount of distance travelled in a given amount of time. It is determined by dividing the overall mileage by the overall time required to cover that mileage.

In physics and other sciences, average speed is frequently employed to describe how objects move. For instance, it is possible to estimate how long it will take to go a certain distance or assess a car's fuel economy by looking at its average speed over a given distance. By dividing the whole distance travelled by the total time required, average speed may also be used to characterise the speed of an object that is moving at various speeds at different points along its path.

Let the time taken to get back = t + 1.

Now, it took one hour less time to get there thus time = t.

Now, average speed is given as:

average speed = total distance / total time

Substituting the values:

50 km/h = d / t

d = 50t  .........(1)

40 km/h = d / (t + 1)

d = 40(t + 1)......(2)

Setting the value of d as equal we have:

50t = 40(t + 1)

50t = 40t + 40

10t = 40

t = 4

Hence, the time taken by Amy to travel to the place was t = 4 hours.

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Based on the set of transformations for trapezoid ABCD, the location of point A after the transformations are complete is: D. (−5, 1).

In Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has the coordinates (-x, -y).

By applying a rotation of 180° to the given point, the coordinates of its image is given by:

(x, y)                           →               (-x, -y)

Points A = (-5, 1)        →     Points A' = (-(-5), -(1)) = (5, -1).

Next, we would reflect the given point over the x-axis as follows;

(x, y)                           →              (x, -y)

Points A' = (5, -1)        →     Points A' = (5, -(-1)) = (5, 1)

Lastly, we would reflect the given point over the y-axis as follows;

(x, y)                           →              (-x, y)

Points A' = (5, 1)        →     Points A' = (-(5), 1) = (-5, 1)

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The required distance from the corner to each end of the bracket is 5.7 inches.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Since the distance from the corner to each end is equal.

So ABC make an isosceles right triangle, where

AB = x inches

AC = x inches

BC = 8 inches

According to the Pythagoras theorem, we have

AB² + AC² = BC²

x² + x² = 8²

2x² = 64

x² = 64/2

x² = 32

x = √32

x = 5.668

Round to the nearest tenth, and we get

x = 5.7

Thus, the distance from the corner to each end is 5.7 inches.

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Answer:

Step-by-step explanation:

To dilate the square by a factor of 1111 from the origin, we need to multiply each coordinate by 1111.

The coordinates of point C are (8,8). So, to find the coordinates of point C' after dilation, we can simply multiply each coordinate by 1111:

x-coordinate of C' = 1111 * 8 = 8888

y-coordinate of C' = 1111 * 8 = 8888

Therefore, the coordinates of point C' are (8888, 8888).

Answer:

b = 8

Step-by-step explanation:

a² + b² = c²

15² + b² = 17²

225 + b² = 289

b² = 64

√b² = 64

b = 8

Answer:

\( x = \frac{1}{2} y + 3\)

Step-by-step explanation:

\(y = 2x - 6 \\ y + 6 = 2x \\ \frac{y + 6}{2} = x \\ \frac{y}{2} + 3 = x \\ \huge \red{ \boxed {x = \frac{1}{2} y + 3}}\)

Answer:

The correct answer of this question is (B)

Step-by-step explanation:

--=+

Answer:

B 171.

Step-by-step explanation:

70 - (-101)

= 70 + 101

= 171.

Answer:

d

Step-by-step explanation:

The sun is the primary source because without it there will be nothing like renewable or nonrenewable energy

By changing the central angle, ∠CAB, the inscribed angle, ∠CDB has the following data sets:

m∠BAC (β)                                m∠BDC (α)

42°                                               84°

40°                                               80°

45°                                               90°

35°                                               70°

52°                                               104°

A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).

In Geometry, a circle is considered to be a conic section which is formed by a plane intersecting a double-napped cone that is perpendicular to a fixed point (central axis) because it forms an angle of 90° with the central axis.

The inscribed angle theorem states that the measure of an inscribed angle is one-half the measure of the intercepted arc in a circle. Thus, this is given by this mathematical expression:

m∠BDC = ½ × m∠BAC.

For this exercise, we would change the central angle, ∠CAB, so that the inscribed angle, ∠CDB can have the following data sets:

m∠BAC (β)                                m∠BDC (α)

42°                                               84°

40°                                               80°

45°                                               90°

35°                                               70°

52°                                               104°

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Answer:

plato

Step-by-step explanation:

m∠BAC m∠BDC

50° 25°

70° 35°

90° 45°

125° 62.5°

150° 75°

Answer:

The Population is 865000

Step-by-step explanation:

0.7 Million is equal to 700,000

700,000 + 165,000=865000

Answer:

2.9

just answering wrong because i need points sorry

a. The general formula for the sum of the first n terms is Sₙ = 2(1 - e⁻ⁿ)/(1 - e⁻¹)

b. The sum of a series is defined as the limit of the sequence of partial sums is converges.

c. The true statement are "The series converges. and The series is a geometric series." (option B and C).

a. To find the general formula for the sum of the first n terms, we need to add the first n terms of the series. Thus, we have:

Sₙ = 2e⁰ + 2e⁻¹ + 2e⁻² + ... + 2e⁻ⁿ

We can see that this is a geometric series with a first term a=2 and a common ratio r=e⁻¹. Therefore, we can use the formula for the sum of a geometric series to find the general formula for Sₙ:

Sₙ = a(1 - rⁿ)/(1 - r)

Substituting a=2 and r=e⁻¹, we get:

Sₙ = 2(1 - e⁻ⁿ)/(1 - e⁻¹)

the limit of the sequence of partial sums is zero, the series converges.

b. To determine whether the series converges or diverges, we can take the limit of the sequence of partial sums as n approaches infinity. Thus, we have:

∑n=0∞2e−n=limn→∞ S_n= limn→∞ 2(1 - e⁻ⁿ)/(1 - e⁻¹)

To evaluate this limit, we can use L'Hopital's rule, which states that if we have an indeterminate form of the type 0/0 or infinity/infinity, we can take the derivative of the numerator and the denominator until the form is no longer indeterminate. Applying L'Hopital's rule, we get:

lim n→∞ 2(1 - e⁻ⁿ)/(1 - e⁻¹) = limn→∞ 2e⁻ⁿ/(e⁻¹) = 0

c. We can now identify whether the series is a telescoping series, a geometric series, or a p-series.

The series is a geometric series, as we already saw in part (a).

Therefore, the correct answers are (B) and (C).

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a. The y-intercept is equal to -8.

b. The connection between the y-intercept and the rule y = x² - 2x - 8 is that it can be determined when x is substituted with 0.

c. The x-intercepts are (-2, 0) and (4, 0).

d. The lowest point of the graph, called the vertex is (1, -9).

In Mathematics, the x-intercept is sometimes referred to as horizontal intercept and the x-intercept of the graph of any function simply refers to the point at which the graph of a function crosses or touches the x-coordinate (x-axis) and the y-value or value of "y" is equal to zero (0).

Part a.

For the y-intercept of the function, we have:

y = x² - 2x - 8

y = 0² - 2(0) - 8

y = -8

Therefore, the y-intercept is (0, -8).

Part b.

We can logically deduce that the connection between the y-intercept and the function rule y = x² - 2x - 8 is that the y-intercept can be determined when the value of x is substituted with 0.

Part c.

When y = 0, the x-intercept can be determined as follows

y = x² - 2x - 8

0 = x² - 2x - 8

0 = x² + 2x - 4x - 8

0 = x(x + 2) - 4(x + 2)

0 = (x + 2)(x - 4)

Therefore, the x-intercept is (-2, 0) and (4, 0).

Part d.

In Mathematics, the vertex of a graph refers to the lowest or topmost point on a graph and it is equal to (1, -9) in this scenario;

y = x² - 2x - 8

y = 1² - 2(1) - 8

y = 1 - 10

y = -9

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Answer: D

Step-by-step explanation: 210 mile per 3.5 hour = 60.0 mile per hour.

Answer:

$218.50

Step-by-step explanation:

5.75×38=218.5

turn into dollars $218.50

Hello!

I'll explain this exercise to you with some examples to make it clear.

First, let's imagine a square A with sides of 6cm, and a square B with sides of 4 cm:

Let's calculate the areas of both squares, using the formula:

Square A:

Square B:

Now, let's calculate the ratio between the areas:

The ratio between the areas will be 36/16.

Answer:

Additive inverses add to 0. The additive inverse of a number is the opposite of the number.

By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

0 5 2 -2

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (4 + 5)/(0 - 3)

Slope (m) = -9/3

Slope (m) = -3

At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-5) = 3(x - 3)  

y + 5 = -3(x - 3)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.

We have,

Let's start by finding the total number of points that Carlos can earn in the class:

Total points

= 5 quizzes x 20 points per quiz

= 100 points

If Carlos needs an average of 90% or greater, that means he needs to earn at least 90 points out of 100.

Total points earned.

= 18 + 19 + 17 + 20

= 74 points

To find the minimum score Carlos needs on the final quiz, we can set up an inequality:

(74 + x) / 5 ≥ 0.9

where x is the score on the final quiz.

Simplifying this inequality.

74 + x ≥ 90

x ≥ 16

Therefore,

Carlos needs to earn at least 16 points on the final quiz to earn at least a 90% average.

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The unknown angle in the cyclic quadrilateral is as follows:

m∠CML = 109 degrees

A cyclic quadrilateral is a quadrilateral which has all its four vertices lying on a circle.

The sum of angles in a cyclic quadrilateral is 360 degrees.

Therefore, let's find m∠CML as follows:

Using the arc angle and opposite angle of a quadrilateral theorem,

6x + 25 = 1 / 2 (7x + 14 + 106)

6x + 25 = 1 / 2(7x + 120)

6x + 25 = 7 / 2 x + 60

6x - 7 / 2 x  = 60 - 25

6x - 3.5x = 35

2.5x = 35

divide both sides by 2.5

x = 35 / 2.5

x = 14

Therefore,

m∠CML = 6x + 25 = 6(14) + 25 = 84 + 25 = 109 degrees

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Answer:

96

Step-by-step explanation:

120/1.25=96

Therefore, the degree of the given monomial is 11.

In algebra, a monomial is an expression consisting of a single term. A term can be a constant, a variable, or the product of a constant and one or more variables. In other words, a monomial is a polynomial with only one term.  The degree of a monomial is the sum of the exponents of its variables.

Here,

The degree of a monomial is the sum of the exponents of its variables.

For the monomial -3q⁴rs⁶, the degree would be:

4 + 1 + 6 = 11

Therefore, the degree of the monomial -3q⁴rs⁶ is 11.

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Answer:

D because 23x4 is 96 and 96 +72=164

Answer:

d

Step-by-step explanation:

cause is ftom 180 and when we substract we get our answers