5. Eve went shopping for some chocolate for baking. At one store, she bought 436.739 ounces of chocolate in bars. At another store, she bought 862.036 ounces of chocolate chips. How much chocolate did she buy in all?

Answer:

1st triangle and 4th triangle

The inequality representing the given situation is -

300x + 700y ≤ 7500

Advertising is the practice and techniques employed to bring attention to a product or service. Advertising aims to put a product or service in the spotlight in hopes of drawing it attention from consumers.

Given is that Bobby Flay is deciding how to advertise a new gourmet restaurant that he is opening. An online ad costs $300, and a TV ad costs $700. He has $7,500 to spend on the ads.

We can write the inequality as -

300x + 700y ≤ 7500

where -

{x} - number of online ads posted

{y} - number of TV ads poste

Plot the inequality on the graph. The shaded region represents the possible number of advertisements of each category Bobby can use to advertise.

Therefore, the inequality representing the given situation is -

300x + 700y ≤ 7500

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if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

What is the hypotenuse leg theorem?

The hypotenuse leg theorem states that two right triangles are congruent if the hypotenuse and one leg of one right triangle are congruent to the other right triangle's hypotenuse and leg side.

The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

Hypotenuse-Leg (HL) for Right Triangles. There is one case where SSA is valid, and that is when the angles are right angles. In words, if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of a second right triangle, then the triangles are congruent.

Hence, if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.

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Answer:

V≈307.88in³

Step-by-step explanation:

V=πr2h

3=π·72·6

3≈307.87608in³

Answer:

\(98\pi\)

Step-by-step explanation:

The formula of the volume of a cone is given by \(V=\frac{\pi r^2h}{3}\), which, applying the values yields \(V=\frac{\pi 7^26}{3} = 98\pi\)

Answer: Skewed left, no outlier

Step-by-step explanation: You use the IQR and quartile 1&3 to find the number that defines an outlier. And for this one there are none

Answer:

the answer is 9

Step-by-step explanation:

Since the angles are alternate exterior angles they are the same

6x + 5 = 7x - 4

Subtract 6x from both sides

5 = x - 4

Add 4 to both sides

9 = x

Answer:

x = 9

Step-by-step explanation:

SOLUTION

Let

Now,

Now, the resultant force R is

The angle theta becomes

Hence the answer is option C

Answer: b.) 40

Given that:

f(x) = 5 × 2ˣ

To find f(3), simplify insert [x = 3] in the given equation:

f(3) = 5 × 2³

f(3) = 5 × 2 × 2 × 2

f(3) = 40

Answer:

Step-by-step explanation:

1km

Answer:

1 km.

Step-by-step explanation:

If 10 people swim equal portions of a 10 km relay,

10 people divided by 10 kilometers equals 1 kilometer per person.

Answer:

C

Step-by-step explanation:

 2

+2

-----

 4

Answer: 584 yds

Step-by-step explanation:

3mi-3mi=0

1622-1038=584yds

Here the statements 1, 2, 3, 4, 5, 7, 8, 10 are correct according to the rules of the shapes.

1: A rhombus is a quadrilateral with four equally sized sides. Each square is a rhombus since they all have four sides that are the same length. 2: Due to the parallel alignment of its opposing sides, every rhombus is a parallelogram. 3: It is true that all rectangles are parallelograms since they have two sets of parallel sides and two pairs of equal opposing sides. 4: The other is split into two equal halves by each bisector. 5: If a quadrilateral's diagonals are equal and bisect one another at right angles, it is a square. 7: Since the diagonals themselves are congruent, each bisected line segment is also congruent. 8: The diagonals split a rhombus's vertex angles into equal halves. The diagonals of a rhombus are at right angles to one another. 10: A square is a rhombus. Sometimes, this is accurate. When a rhombus has four right angles, it is true. So the statements 1,2,3,4,5,7,8,10 are correct.

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The solution is:

If my parents are going to pay the 5%, then, they will pay: $2979.

I will need to save $62.06 each month to accomplish my goal.

Here,

I'm going to a 4-year college that will cost $14895/year.

It means that I will need to pay: 14895*4 = $59.580

If my parents are going to pay the 5%, then, they will pay: $2979.

Now, if I want to save my total contribution for all four years, and I have four years to accomplish  the goal, then:

Then, if I have 4 years to pay it. It means I have 4*12 = 48 months.

Then I will need to save $2979./48 = $62.06 each month to accomplish my goal.

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complete question:

You are going to a 4-year college in 4 years that will cost $14,895.00/yr. Your parents expect you to pay 5% of the total cost.

How much do you need to pay for each year of attending?

If you want to save your total contribution for all four years before you start attending college, how much do you need to save each month if you have four years to accomplish your goal?

Bar models are used to illustrate products and quotients

The equation modeled by the bar is \(5 x = 10\)

The bar is not given.

So, I will use the attached figure to solve the question

From the attached figure, we have the following highlights:

So, the equation of the bar is:

\(5 * x = 10\)

Multiply 5 and x

\(5 x = 10\)

Hence, the equation modeled by the bar is \(5 x = 10\)

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The answer of the following question is given below respectively.

The parent function of all linear functions is y = x, which is a straight line that passes through the origin. The parent function of all quadratic functions is y = x², which is a parabola that opens upwards and passes through the origin.

The given figure is a right triangle, and it is not related to a function. Therefore, we cannot determine any horizontal stretch of the parent function from this figure alone.

However, in general, a horizontal stretch of a parent function would occur when the x-values of the function are multiplied by a constant greater than 1.

This would cause the graph of the function to become narrower (closer together) horizontally. Conversely, if the constant multiplier is between 0 and 1, the graph of the function would become wider (further apart) horizontally.

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Conversely, the function's graph would become broader (further apart) horizontally if the constant multiplier were between 0 and 1.

Y = x, which is a line that runs through the origin, is the progenitor function of all linear functions. The parabola that opens upward and traverses the center y = x², is the parent function of all quadratic functions.

Right triangles are shown in the provided figure, which has nothing to do with a function. Therefore, based solely on this image, we are unable to infer any horizontal stretch of the parent function.

However, generally speaking, a parent function's x-values would stretch horizontally when multiplied by a constant larger than 1.

As a result, the function's graph would laterally become narrower (closer together). Conversely, the function's graph would become broader (further apart) horizontally if the constant multiplier were between 0 and 1.

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The function f(-9) is the -x value, find where the line is in the -y direction at -x = -9. The line crosses -y = -3 at -x = -9.

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.

In discrete mathematics, a graph is made up of vertices—a collection of points—and edges—the lines connecting those vertices. In addition to linked and disconnected graphs, weighted graphs, bipartite graphs, directed and undirected graphs, and simple graphs, there are many other forms of graphs. A graph is a diagram that depicts the connections between two or more objects.

The function f(-9) is the -x value, find where the line is in the -y direction at -x = -9. The line crosses -y = -3 at -x = -9.

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Answer: Your answer is X=-63

Hope this helps!

Answer:

68°

Step-by-step explanation:

The angles are equal to each other.  Set them equal and solve for x

5x + 18 = 8x - 12  Subtract 5x from both sides of the equation

18 = 3x - 12  Add 12 to both sides of the equation

30 = 3x  Divide both sides by 3

10 = x

Now that you have found x plug is back into  5x + 18

5(10) + 18

50 + 18 = 68

Answer:

∠ FLJ = 68°

Step-by-step explanation:

∠ EKG and ∠ FLJ are alternate exterior angles and are congruent , then

8x - 12 = 5x + 18 ( subtract 5x from both sides )

3x - 12 = 18 ( add 12 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

Then

∠ FLJ = 5x + 18 = 5(10) + 18 = 50 + 18 = 68°

The number of possibilities for 8 of 37 servers to fail is 38608020

From the question, we have

Total number of servers, n = 37

Numbers to servers that fail, r = 8

The number of ways for 8 serves to fail is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 37 and r = 8

Substitute the known values in the above equation

Total = ³⁷C₈

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 37!/29!8!

Evaluate

Total = 38608020

Hence, the number of ways is 38608020

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Answer: 19/7

Step-by-step explanation:

Your goal is to isolate x or get x by itself.

Move all other variables to the opposite side.

70x+10-10=200-10

70x=190

Divide both sides by 70

x= 19/7

Answer:

\(x= \frac{19}{7}\)   OR   \(2 \frac{5}{7}\)

Step-by-step explanation:

To do this you need to:

  1. Subtract 10 from both sides {As shown below}

\(70x+10-10=200-10\)

  2. Simplify {As shown below}

\(70x=190\)

   3. Divide both sides by the same factor {As shown below}

\(\frac{70x}{70} = \frac{190}{70}\)

    4. Simplify {As shown below}

        {a. Cancel terms that are in both the numerator and the denominator}

        {b. Divide the numbers}

\(x= \frac{19}{7}\) OR \(2 \frac{5}{7}\)

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The frequency count that should be recorded for the soup category is 6.

Subtraction is the process of taking one number away from another number. The sign used to represent subtraction is -.

The frequency count on the table should be equal to the number of students. Thus, in order to determine the frequency count for the soup category, subtract 22 from the total frequency count.

The frequency count for the soup category = 22 - (5 + 8 + 2 + 1 ) = 6

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Answer:

3

Step-by-step explanation:

Answer:

1.6

Step-by-step explanation:

i used calculator

Answer:  1.6

Step-by-step explanation:

The first and third quartiles of x are 269.625 and 330.375 respectively.

The interquartile range is 61.11.

To get the first (Q1) and third (Q3) quartiles of a normally distributed dataset, use the following formulas:

Q1 = μ – (.675)σ

Q3 = μ + (.675)σ

μ -  denotes the population mean

σ - denotes the population standard deviation.

The first quartile represents 25% of a dataset and the third quartile represents 75% of a dataset.

Using Mean and Standard Deviation, we need to determine Quartiles

Assume we have a normally distributed dataset with and = 45.

The first and third quartiles of the dataset can be calculated using the following formulas:

Q1 = μ – (.675)σ = 300 – (.675)*45 = 269.625

Q3 = μ + (.675)σ = 300 + (.675)*45 = 330.375

This means that 25% of all values in the dataset are less than 269.625 and 75% of all values in the dataset are less than 330.375.

We may also calculate the interquartile range using these numbers:

IQR = Q3 - Q1 = 330.375 - 269.265

IQR = 61.11

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Answer:

a

it's so easy why ask this question?

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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The circumference of the given circle is 22.26 meters.

For a circle of diameter D, the circumference is defined by the following formula:

C = pi*D

Where pi = 3.14

Here we know taht the diameter is 7.09 meters, then we can input that in the formula above to get:

C = 3.14*7.09 m

C = 22.2626 m

Rounding to 2 decimals, we will get:

C = 22.26 meters.

That is the circumference of the circle.

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Answer:

\(Area = 4x^2 - 14x + 10\)

Step-by-step explanation:

See Attachment for Complete Question

Given

\(Width = 5mi\) --- For the forest

\(Length = 2mi\) -- --- For the forest

Required

Determine the area of the habitat

Since the distance between the animal's habitat is x mi on both sides;

The length and width of the habitat is:

\(Width = 5 - (x + x)\)

\(Width = 5 - 2x\)

\(Height = 2 - (x +x)\)

\(Height = 2 - 2x\)

The area is then calculated as follows;

\(Area = Width * Height\)

\(Area = (5 - 2x) * (2 - 2x)\)

Expand

\(Area = 5(2 - 2x) -2x(2 - 2x)\)

Open Brackets

\(Area = 10 - 10x - 4x + 4x^2\)

\(Area = 10 - 14x + 4x^2\)

Reorder

\(Area = 4x^2 - 14x + 10\)

Hence; the required polynomial for the habitat area is:

\(Area = 4x^2 - 14x + 10\)

Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.

Given that,

The equation f(x)=1.9(0.41)ˣ.

We have to state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.

We know that,

In order to translate their graphs over the 2D coordinate plane, I will offer the vertex form of an exponential equation for both the growth and decay functions.

In the case of growth, f(x) = a(1+r\()^{x-h}\)+k, where b = 1+r

Decay is defined as f(x)=a(1-r)(x-h\()^{x-h}\)+k, where b=1-r.

Consider the function  f(x)=1.9(0.41)ˣ.

We write as

f(x)=1.9(1-0.59)ˣ

So, initial value C is 1.9

Decay factor =0.41

Growth factor = 0.59

Therefore, Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.

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