Find the total mass of a triangular region with vertices (−1,0),(1,0),(0,3) if the density of the region is δ(x)=5+x grams/cm2.

Answer:

A. The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.

Step-by-step explanation:
I just took the test

Answer: -2.55

Step-by-step explanation:

Answer:

-2.55

Step-by-step explanation:

-1.25 + 2 1/5 + (-3.5) =

= -1.25 + 2.2 - 3.5

= 0.95 - 3.5

= -2.55

Chemistry => Atomic Structure => Neutron

Neutrons are particles within the atom located in the nucleus, these particles have no charge.

In the image we can identify them as the spheres without writing in the center of the atom, as we will see in the following figure:

Therefore, if we count the amount we will see that there are 4 neutrons inside the nucleus.

Answer: There are 0 neutrons in this lithium around, the neutrons are inside the nucleus and there are 4 neutrons

Required:

To find the axis of symmetry, vertex, y-intercept and the maximum/,minimum of the given function.

Explanation:

Axis of symmetry:

From the given equation

Therefore,

Vertex:

The axis of symmetry is x=-1,

Now

Therefore, the vertex is

y-intercept:

Set x=0 in to the given equation, we get

Therefore, y-intercept is

Minimum/maximum:

Now

Therefore the function is maximum.

Final Answer:

Axis of symmetry : x=-1

Vertex : (-1,2)

y-intercept : (0,3)

The function is maximum.

The calculated measure of the angle D is (c) 32 degrees

From the question, we have the following parameters that can be used in our computation:

The triangles ABC and DEF

The triangles are similar triangles

This means that the corresponding angles are equal

Given that

A = 32 degrees

And the corresponding angle is D

We have

D = 32 degrees

Hence, the measure of the angle is (c) 32 degrees

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The additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria is

EJ ≅ GJ. Option A

We need to know the properties of a parallelogram, we have;

We know that FJ  ≅ JH, it's given by the marks, now if it were to happen that EJ ≅ GJ, that would mean that the diagonals on that quadrilateral are bisecting each other, and if that's so, then the quadrilateral it's indeed a parallelogram.

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The complete question:

What additional information would allow you to prove the quadrilateral is a parallelogram according to the minimum criteria?

A)

ej ≅ gj

B)

ej || gj

C)

fg || eh

D)

ef ≅ hg

The equation that could be used to determine x, the number of purses Paula must sell to pay for the new equipment is;

A. 5.00x - 2.25x = 5000

We are told the materials costs $2.25 per purse.

She sells the materials for $5 each.

If the number of materials she purchased was x, it means that;

Selling price - Cost price = 5.00x - 2.25x

Now, we are told that she wants to invest $5000 for some new equipment. This means that she must realize at least $5000 in profit from the sales she is making of the materials.

Since the formula for profit is;

Profit = Selling Price - Cost Price

Then, we will have;

5.00x - 2.25x = 5000

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Answer:  5.00x - 2.25x = 5000

Step-by-step explanation:

The standard deviation of the data sample is 2.55.

The standard deviation of the data sample is calculated by applying the following formula;

S.D = √ (x -  μ)²/(n - 1)

where;

The given parameters;

mean,  μ = 64

x, = 12

number of samples = 9

The standard deviation of the data sample is calculated as;

S.D = √ (12 -  64)²/(9 - 1)

S.D = 2.55

Thus, the standard deviation of the data sample is calculated by applying the formula for standard deviation.

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Answer:

24 pencils

Step-by-step explanation:

Let's call total number of pencils T.

she gave 1/2 to friends. Now she has (1/2)T.

she then used 3/4 of those, leaving her with only 1/4 of what she had AFTER giving them to friends. That is 1/2 X 1/4 = 1/8.

She now has 3 pencils. 3 pencils = 1/8.

Multiply both sides by 8 to get 24 pencils = 1 (whole ie T).

Total number of pencils, T, bought in August is 24.

Answer:

origin

hope this helps!

Step-by-step explanation:

Answer:

Origin

Step-by-step explanation:

The origin of the graph (0,0) is the point where the two y and x axes intercept.

The origin determines every other point of the graph.  

Hope this helps!

The expression that shows the total oranges amir got in total is x-12 = 4. And amir got 16 oranges in all

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power. In other words, none of the exponents can be greater than 1. For example, x² is a variable raised to the second power, but x is a variable raised to the first power.

example of linear expression is 2x+2y = 5. This is a linear expression with two variables x and y.

Let's represent the total no of oranges by x.

Therefore ,

2 bags of oranges with 6 in each bag will amount to 2×6 = 12 oranges.

an addition of 4 loose oranges . Therefore the total number of oranges = 12+4 = x

x = 12+4 or x-12 = 4

= 16

therefore amir got 16 oranges in all

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Based on the scatterplot, the form of the relationshipbetween fire spread rate and wind speed   can be described as a positive correlation.

As wind speed increases,the fire spread rate also tends   to increase.

b. Direction  -

Based on the given scatterplot,the direction of the relationship between fire spread rate and wind speed appears to   be positive.

As the wind speed   increases,the fire spread rate generally tends to increase as well.

c. Strength  -

The scatterplot suggests a   moderate to strong relationship between fire spread rate and wind speed.

The data points   exhibit a somewhat linear pattern, indicating that there is a noticeable association between these variables.

The firespread rate tends to increase consistently as the wind speed increases, suggesting a relatively strong positive correlation between the two factors.

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Full Question:

Wind and Moisture: To understand how weather and landscape affect the spread of wildfires, an experiment was conducted in a low velocity wind tunnel. A fire was started in pine litter, and the researchers measured the fire spread rate for varying wind speeds and pine litter moisture contents.

Data for fires started in pine litter that had a moisture content of 4% are shown in the table below.

Wind Speed (miles/hour) Fire Spread Rate (feet/minute)

0.76                                         0

1.78                                             2

3.34                                                4

5.38                                       6

8.10                                                8

11.75                                     10

16.70                                    12

A scatterplot of these data is shown here  -

1. Based on the scatterplot, how would you describe the following with regard to the relationship between fire spread rate and wind speed?

a. Form:

b. Direction:

c. Strength:

The total distance of the race was 68 miles

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

The total distance can be determined from the fractions.

Consider that d represent the total distance of the race.

The distance running is 1/2d. The distance swimming is 1/4d. The remaining distance is 17 miles.

Thus,

 Remaining = total distance - distance running - distance swimming

 17 mi = d -1/2d -1/4d = 1/4d

Use known fractions

68 mi = d

The total distance of the race is 68 miles.

This race has a 17-mile swimming segment, that would take a fast swimmer on the order of 8 hours, by itself.

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Answer:

(0, -6) is the y-intercept.

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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2x(x-1) = 2x - 2

Step-by-step explanation:

a thing my math teacher always taught that sticks is that the equals sign is essentially the words is the same as. Think of it this way the sentaxe would be 2x -2 is the same as 2x minus 2. we get this because initially with the parentheses we have to take the number outside which is 2 and multiply everything inside by it. 2 times x equals 2x and 2 times -1 is negative 2.

Answer: 4.5

Step-by-step explanation:

2 cups of flour = 1 cup of water

9 cups of flour/2 cups of flours = 4.5

4.5 cups of water for 9 cups of flour

BD is the whole segment, while BC is one part and the CD segment is the other. The sum of two parts must be equal to the whole.

Applying the expressions for each part we can solve for "x".

Answer:

20%

Step-by-step explanation:

The theoretical probability of drawing a red marble can be found by dividing the number of red marbles by the total number of marbles in the bag:

P(red) = number of red marbles / total number of marbles

P(red) = 5 / (5 + 8 + 12)

P(red) = 5 / 25

P(red) = 0.2

So the theoretical probability of randomly drawing a red marble is 20%, which corresponds to option (C).

The vertex for the graph is at (2, 0).

A parabola is formed by cutting a right circular cone in half along a plane perpendicular to the cone's generator. It is a locus of a moving point whose separation from the focus is equal to its separation from a stationary line (directrix)

Focus is a fixed point.

Directrix is the name for fixed lines.

Given the graph is a parabola,

A parabola's vertex is the location where its symmetry line and parabola intersect. The vertices of a parabola whose equation is provided in standard form will be the lowest (lowest point) and highest (highest point) points on the graph, respectively.

The minimum point in graph is (2, 0)

Hence vertex is (2, 0).

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The complete question is in image,

The statement that best describes triangles UVW and XYZ is; They are similar, but not congruent.

We are given that;

Angles VUW and ZXY are congruent.

Angles UWV and XZP are congruent.

Angles UVW and ZYX are congruent.

Now, the length of side UV is 50, the length of VW is 60, and the length of UW is 40. The length of side ZY is 48, the length of YX is 40, and the length of ZX is 32.

Here the triangles are similar by the AAA similarity and the length of the first triangle is in the ratio 40:50:60 = 4:5:6 .

The side of the second triangle is also in the ratio 32:40:48 = 4:5:6 .

Therefore, the triangles UVW and XYZ are similar but not congruent.

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Answer:

B. They are similar, but not congruent

\(\huge\boxed{Hi\;there!}\)

Thirty-four thousand ninety-seven and six thousandths looks like so: (If we write it numerically)

34,097.006

That's the way to write this number numerically.

\(\huge\bold{Hope\;it\;helps!\;Good\;luck!}\)

\(\rm{-StillEnjoyingLife-\)

Step-by-step explanation:

3x+7=2x-10

3x-2x=10-7

X=3

Answer: Hope this helps you understand!

Step-by-step explanation:

Let's simplify step-by-step.

−5r2−6rs+6s2−(6r2+9rs−10s2)

Distribute the Negative Sign:

=−5r2−6rs+6s2+−1(6r2+9rs−10s2)

=−5r2+−6rs+6s2+−1(6r2)+−1(9rs)+−1(−10s2)

=−5r2+−6rs+6s2+−6r2+−9rs+10s2

Combine Like Terms:

=−5r2+−6rs+6s2+−6r2+−9rs+10s2

=(−5r2+−6r2)+(−6rs+−9rs)+(6s2+10s2)

ANSWER:

=−11r2+−15rs+16s2

Answer:

11r^2+15rs−16s^2

Step-by-step explanation:

Use the distributive property.

(6r^2+9rs−10s^2)−(−5r^2−6rs+6s^2)

6r^2+9rs−10s^2+5r^2+6rs−6s^2

Use the commutative property to combine like terms, then simplify.

6r^2+9rs−10s^2+5r^2+6rs−6s^2

6r^2+5r^2+9rs+6rs−10s^2−6s^2

11r^2+15rs−16s^2

Answer:

To calculate Fred's power, we can use the formula:

Power = Work / Time

Given that Fred did 600 J of work in 60 seconds, we can substitute the values into the formula:

Power = 600 J / 60 s

Power = 10 W

Therefore, the correct answer is:

D. 10 W

Step-by-step explanation:

Answer:

Power = Work/Time

Power = 600 J/60 s = 10 W

Therefore, the answer is D. 10 W.

Step-by-step explanation:

Answer:

1.

4x-5x+3-8

-x-5

2.

3x^2+8x^2-2x+7x

11x^2-5x

3.

4x+9x+2y+3y^2

3y^2+5y+13x

4.

-5x-7x-2

-5x+-7x-2

-12x-2

5.

6(3x-5)-9x

6(3(4)-5)-9(4)

6(12-5)-36

6(7)-36

6

The graph of the function is added as an attachment

From the question, we have the following parameters that can be used in our computation:

f(x) = x^2 - 1

We have the x values to be

x = ±5 to 0

Substitute the known values in the above equation, so, we have the following representation

f(5) = (5)^2 - 1 = 24

f(4) = (4)^2 - 1 = 13

f(3) = (3)^2 - 1 = 9

f(2) = (2)^2 - 1 = 3

f(1) = (1)^2 - 1 = 0

f(0) = (0)^2 - 1 = -1

Next, we plot the graph using the points

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Answer:

{-12, 8}

Step-by-step explanation:

Let's solve your equation step-by-step.

|p+2|=10

Solve Absolute Value.

|p+2|=10

We know eitherp+2=10orp+2=−10

p+2=10(Possibility 1)

p+2−2=10−2(Subtract 2 from both sides)

p=8

p+2=−10(Possibility 2)

p+2−2=−10−2(Subtract 2 from both sides)

p=−12