the temperature in springfield at 10am was 78 degrees F during the day , it dropped to 56 degree. write and solve an equation to find the decrease in temperature .

The volume of the stone if, The volume of the water is 110 cm³, and The volume of the water and the stone is 150 cm³, is 40 cm³.

The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to visualize in any shape, yet it may be compared among shapes. For instance, a compass box has a larger volume than an eraser placed inside of it.

Given:

The volume of the water = 110 cm³,

The volume of the water and the stone = 150 cm³,

Calculate the volume of the stone as shown below,

The volume of stone = The volume of the water and the stone - The volume of the water

The volume of stone = 150 - 110

The volume of stone = 40

Thus, the volume of the stone is 40 cm³

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Answer:

13x+3x is the translation for the English phrase "the sum of 13x and 3x).

Step-by-step explanation:

Here, the sum of 13x and 3x means to add so we have to put an addition sign between both numbers. Sorry if you don't understand... my explanation is pretty off but my answer is 100% correct: D

Given:

In ΔJKL, m∠L=90°, JL = 80, KJ = 89, and LK = 39.

To find:

The value of sine of ∠J.

Solution:

In a right angle triangle,

\(\sin\theta =\dfrac{Perpendicular}{Hypotenuse}\)

In triangle JKL,

\(\sin J =\dfrac{LK}{KJ}\)

\(\sin J =\dfrac{39}{89}\)

\(\sin J =0.4382\)

\(\sin J \approx 0.44\)

Therefore, the value of sine of ∠J is about 0.44.

Answer:

31/10

Step-by-step explanation:

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

  9

Step-by-step explanation:

You want to know the least number of visits Jonathan must make to a movie theater to have at least 135 points if he has 25 points and earns 13.5 for each visit.

After x visits to the theater, Jonathan will have earned 13.5x points in addition to the signing bonus. His total will be ...

  13.5x +25

Jonathan wants that total to be at least 135:

  13.5x +25 ≥ 135

  13.5x ≥ 110 . . . . . . . subtract 25

  x ≥ 110/13.5 ≈ 8.148

The smallest integer greater than 8.148 is 9.

Jonathan needs to make at least 9 visits to earn a free movie ticket.

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The simplest form of the expression by the use of the distributive property is;

\(12x^2 + 24x + 9\)

In mathematics, the distributive property, which explains how multiplication interacts with addition or subtraction, is a fundamental concept. By allocating or multiplying a number or term to each term enclosed by a set of parenthesis, it enables you to simplify expressions.

The distributive property is frequently employed in algebraic expressions, equation simplification, and polynomial operations. By spreading out the multiplication over addition or subtraction, it aids in simplifying complex statements and makes calculations easier to understand.

We know that;

\(3(4x^2 + 8x + 3)\\12x^2 + 24x + 9\)

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Answer:

9:10AM

Step-by-step explanation:

Answer:

The straight-line distance between the points is approximately 8.6.

Step-by-step explanation:

The straight-line distance (\(d\)) between the points is determined by the following Pythagorean identity:

\(d = \sqrt{x^{2}+y^{2}}\) (1)

Where:

\(x\) - Horizontal distance between the points.

\(y\) - Vertical distance between the points.

Let consider that each square has a distance of 1 unit. If we know that \(x = 5\) and \(y = -7\), then the straight-line distance is:

\(d = \sqrt{5^{2}+(-7)^{2}}\)

\(d \approx 8.6\)

The straight-line distance between the points is approximately 8.6.

Answer:14

Step-by-step explanation: both angels are the same aka 41 then solve the equation 2x+13=41. First subtract 13 off both sides of the equations. You’re left with 2x=28 then divide by 2 to find x on its own and get 14.

Answer:

1. x = 14

2. x = 25

3. x = 15

Step-by-step explanation:

The quantity of ribbon that Ali started with was 16/21 feet, based on the mathematical operation of addition.

The basic mathematical operations include addition, subtraction, division, and multiplication.

In the addition operation, two or more addends are added to obtain a result called the sum or total using the equation symbol (=) and the addition operand (+).

The quantity of ribbon attached to the rearview mirror = 2/7

The remaining quantity of ribbon after the attachment = 10/21

The quantity of ribbon Ali started with = 16/21 (2/7 + 10/21)

Thus, using the addition operation, we can conclude that Ali started with 16/21 feet of ribbon.

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Answer11

Step-by-step explanation:

Answer:

Part A: First you distribute the 6(2x-11) and simplify. Then, you get the variables on the same side by subtracting 3x. Next, you do inverse operations by adding 51 to both sides and dividing 9 from both sides

Part B: x=7

Step-by-step explanation:

First thing you should do is distribute out the 6(2x-11) to get 12x-66+15=3x+12. then you simplify to get 12x-51=3x+12. Next you need to get both variable on the same side so just to keep positive number to make it easier you will subtract 3x from both sides to get 9x-51=12. now it is simple algebra where you add 51 to both sides of the equation to get 9x=63. Finally, you divide both sides by 9 to get x=7

The relationship between the dates of spread and the number of people infected can vary depending on various factors such as the infectiousness of the disease, the effectiveness of containment measures, population density, and individual behaviors.

However, there is a general rule that can describe the relationship:As the dates of spread progress, the number of infected individuals tends to increase initially, reaching a peak, and then gradually decreasing over time.

This pattern is often referred to as the epidemic curve or the epidemiological curve. In the early stages of an outbreak, the number of cases may grow rapidly as the disease spreads through a susceptible population. This rapid increase is often influenced by factors such as the contagiousness of the disease, population density, and social interactions.

As containment measures, such as vaccination campaigns, public health interventions, and behavioral changes, are implemented, the rate of new infections may start to decline. This can lead to a peak in the number of cases, after which the curve gradually decreases as the disease is brought under control and fewer susceptible individuals remain.

It's important to note that the specific shape, duration, and magnitude of the epidemic curve can vary significantly depending on the disease and the effectiveness of the response measures implemented. Additionally, emerging variants, changes in behavior, and other factors can impact the trajectory of the epidemic curve.

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Answer:

The first one is correct

Step-by-step explanation:

ITs all good

B. 106 m²

1) Examining that diagram we can state the following, considering the a rectangle

The area of the building - the area of the window:

2) Hence, the answer is 106 m²

The area of the shaded region is 3915 units².

We have,

Area of the sector.

= 13.08 units²

Now,

To find the area of an isosceles triangle with side lengths 5, 5, and 4 units, we can use Heron's formula.

Area = √[s(s - a)(s - b)(s - c)]

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case,

The side lengths are a = 5, b = 5, and c = 4. Let's calculate the area step by step:

Calculate the semi-perimeter:

s = (5 + 5 + 4) / 2 = 14 / 2 = 7 units

Use Heron's formula to find the area:

Area = √[7(7 - 5)(7 - 5)(7 - 4)]

= √[7(2)(2)(3)]

= √[84]

≈ 9.165 units (rounded to three decimal places)

Now,

Area of the shaded region.

= Area of the sector - Area of the isosceles triangle

= 13.08 - 9.165

= 3.915 units²

Thus,

The area of the shaded region is 3915 units².

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The opportunity cost of producing 3 military outfits is -30.

The opportunity cost of producing 4 military outfits is -35.

The opportunity cost of producing 5 military outfits is -50.

As military outfits increase, the opportunity cost decreases.

Opportunity cost of the next best option forgone when one alternative is chosen over other alternatives. It is the number of consumer products that would not be produced when a producer decides to produce military outfits instead.

Opportunity cost = change in consumer products / change in military

The opportunity cost of producing 3 military outfits = (85 - 115) / (3 - 2) = -30

The opportunity cost of producing 4 military outfits = (50 - 85) / (4 - 3) = -35

The opportunity cost of producing 5 military outfits = (0 - 50) / (5 - 4) = -50

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ANSWER:

A. The domain is a value or list of distinct value, {-5}

B. The range in interval notation is (-∞,∞)

STEP-BY-STEP EXPLANATION:

We have the following equation:

We solve for x:

Therefore, the graph would be:

We know that the domain is the input values of a function, that is, in this case the possible values that x has, while the range is the output values, possible values y.

Therefore, the domain and range would be:

Answer:

\(x = \frac{56}{9} , y =-\frac{26}{3}\)

Step-by-step explanation:

Calculator work :)

Answer:

252

Step-by-step explanation:

The second and third smallest factors must add to 5. The only possibility is that these factors are 2 and 3.

The second and third largest factors must add to \(462-N\). These factors are \(N/2\) and \(N/3\).

\(462-N=\frac{N}{2}+\frac{N}{3} \\ \\ 462-N=\frac{5N}{6} \\ \\ 462=\frac{11N}{6} \\ \\ N=252\)

Answer:

The answer is 1584.

Step-by-step explanation:

11 x 8 x 18 =1584

11 x 8 = 88

88 x 18 = 1584

Hope this helps!

Answer:

12y +29

Step-by-step explanation:

2(y+2)+5(2y+5)

Distribute

2*y + 2*2  + 5*2y + 5*5

2y +4 +10y + 25

Combine like terms

2y+10y   + 4+25

12y +29

Answer:

\(12y + 29\)

Step-by-step explanation:

\(2(y + 2) + 5(2y + 5) \\ 2y + 4 + 10y + 25 \\ 12y + 29\)

hope this helps you

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good luck! have a nice day!

Because the graph only intercepts the x-axis only once, the equation has only one solution. The correct option is the second one.

Here we want to see, based on a graph, how many solutions does the cubic equation:

x³ + 6x² + 12x +8 = 0

The graph of the function:

g(x) = x³ + 6x² + 12x +8

Can be seen below, the number of real solutions that the equation:

x³ + 6x² + 12x +8 = 0

has, will depend on how many times the graph intercepts the x-axis.

We can see that there is only one intercept, so there is one real solution.

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Answer:ITS THE SECOND ONE

Step-by-step

There is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

To find the probability that a box of cereal is underfilled by 5 g or more, we need to calculate the probability of obtaining a weight measurement below 345 g.

First, we can standardize the problem by using the z-score formula:

z = (x - μ) / σ

Where:

x = the weight value we want to find the probability for (345 g in this case)

μ = the mean weight (350 g)

σ = the standard deviation (4 g)

Substituting the values into the formula:

z = (345 - 350) / 4 = -1.25

Next, we can find the probability associated with this z-score using a standard normal distribution table or a statistical calculator.

The probability of obtaining a z-score less than -1.25 is approximately 0.1056.

However, we are interested in the probability of underfilling by 5 g or more, which means we need to find the complement of this probability.

The probability of underfilling by 5 g or more is 1 - 0.1056 = 0.8944, or approximately 89.44%.

Therefore, there is approximately an 89.44% probability that a box of cereal is underfilled by 5 g or more.

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The width of the rectangular base of the pyramid is approximately 3.74 cm, and the length is approximately 11.22 cm (since it is given as 3x+1).

The base of a pyramid can be any polygon, such as a square or a triangle, but the height must always be measured perpendicular to the base.

Dimensions refer to the number of coordinates needed to specify the location of an object in space.

Based on the given information, we can set up an equation to solve for x, which is the width of the rectangular base of the pyramid:

Volume of pyramid = 1/3 × base area ×height

96 = 1/3 ×(3x+1) × x ×12

Simplifying the equation:

96 = 4x² + (4/3)x

Multiplying both sides by 3 to eliminate the fraction:

288 = 12x² + 4x

Rearranging the equation into a quadratic form:

12x² + 4x - 288 = 0

Dividing both sides by 4 to simplify the equation:

3x² + x - 72 = 0

We can then use the quadratic formula to solve for x:

x = (-b ± \(\sqrt{(b^2-4ac)}/2a\)

where a = 3, b = 1, and c = -72.

Plugging in the values:

x=(-1±\(\sqrt{1^2-4(3)(-72)} /2(3)\))

x=(-1±\(\sqrt{1+864} /6\))

x = (-1 ±\(\sqrt{865} /6\) )

Since the width of the base cannot be negative, we take the positive solution:

x = (-1 + √(865) / 6

Therefore, the width of the rectangular base of the pyramid is approximately 3.74 cm, and the length is approximately 11.22 cm (since it is given as 3x+1).

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Answer:

-81,-1.3,-1/3,0.1,12

Step-by-step explanation:

ur welcome :)