Rounding to nearest 10th

Rounding To Nearest 10th

Answers

Answer 1

Given - the system of the equations as

[tex]y=-2x+1\\y=-11x-3[/tex]

To find - the solution of the set of equation

Explanation- given the set and we can see that left hand side of the equation is equal.

we get

[tex]-2x+1=-11x-3\\-2x+11x=-3-4\\9x=-7\\x=-7/9=-0.77[/tex]

we get

[tex]y=-2(0.77)+1\\y=-1.54+1\\y=-0.54[/tex]

Hence the value is x =-0.77, y=0.54

Final answer- the value of x = 0.77, y = -0.54


Related Questions

Simplify the expression -42(3 − 7).

Answers

Answer: 168

Step-by-step explanation:  

Rank the company sales by smallest to largest percent of increase and select the correct answer below.

Answers

The answer to this question is as follows Hence, the appropriate expressions response would be: Sort the company's revenue gain from least to biggest percent: D, C, A, B

what is expression ?

In mathematics, you can multiply, divide, add, or subtract. This is how an expression is put together: Expression, numerical value, and math operator Numbers, parameters, and operations make up a mathematical expression. It is feasible to use contrasting words and phrases. Any mathematical statement containing variables, numbers, and a mathematical action between them is referred to as an expression, often known as an algebraic expression. For instance, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the above equation, which are all separated by the mathematical symbol +.

Based on the information in the graph, the firms are ranked from having the least % growth in revenue to having the largest:

With a 5% rise in revenue, Company D

A 10% rise in revenue for Company C

A 15% rise in revenue for Company A

A 20% rise in revenue for Company B

Hence, the appropriate response would be:

Sort the company's revenue gain from least to biggest percent: D, C, A, B

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Nicholson purchased a piece of equipment on for $60,000. The equipment has an estimated useful life of eight years or 50,000 units of production and an estimated salvage value of $6,000. The amount of depreciation to be recorded for year 2 using the straight-line method of calculating depreciation, is

Answers

The amount of depreciation to be recorded for year 2 using the straight-line method of calculating depreciation is $6,750.

What is the amount of depreciation to be recorded for year 2?

Straight-line depreciation is calculated by dividing a fixed asset's depreciable base by its useful life. The depreciable base is the difference between an asset's all-in costs and the estimated salvage value at the end of its useful life.

By using the straight-line method of calculating depreciation, the annual depreciation expense would be calculated as follows:

= (Purchase Price - Salvage Value) / Useful Life

= ($60,000 - $6,000) / 8 years

= $54,000 / 8 years

= $6,750.

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diameter of a circle is 21 cm. Find its area to the nearest whole number.\

Answers

Answer:346.5

Step-by-step explanation: At first,we have calculate the radius of the given circle,by using the following mathematical formula.

Radius = Diameter/2 = 21/2 = 10.5 cm

Now,we have to calculate the area of the circle by using the following mathematical formula,

Area of the circle = π×r² = 22/7 × 10.5 × 10.5 = 346.5 cm²

please lmk if this an option or answer for you.

How do you find the surface area, in square meters, of a triangular prism

Answers

Answer:

Step-by-step explanation:

Surface area of a triangular prism: The surface area of a triangular prism is given by A=bh+(b1+b2+b3)l units2 A = b h + ( b 1 + b 2 + b 3 ) l units 2 where b is the base of a triangular face, h is the height of a triangular face, b1 , b2 , and b3 are the sides of the triangular base, and l is the length of the prism.


The initial price of the bag is $50 and the final price is $52. Find the percent error in
the price.

Answers

Answer: There isn't an error, it's taxes

Step-by-step explanation:

Answer:

The percent error in the price can be calculated using the formula:

percent error = |(experimental value - actual value) / actual value| x 100%

In this case, the experimental value is the final price of $52 and the actual value is the initial price of $50. So we have:

percent error = |(52 - 50) / 50| x 100%

percent error = |2/50| x 100%

percent error = 4%

Therefore, the percent error in the price is 4%.

Which is an equation of the line that is a perpendicular bisector of AB with A(-6, 8) and B(-1, 3)?
O A)y=x+9
OB) y = x + 7
O c)y=-x-5
OD) y = -x + 2

Answers

Answer:
To find the equation of the perpendicular bisector of AB with A(-6, 8) and B(-1, 3), we need to first find the midpoint of AB, and then find the slope of the line perpendicular to AB that passes through the midpoint.

Midpoint of AB:
The midpoint of AB is given by the formula:

((x1 + x2)/2, (y1 + y2)/2)

Substituting the values, we get:

((-6 + (-1))/2, (8 + 3)/2) = (-3.5, 5.5)

So, the midpoint of AB is (-3.5, 5.5).

Slope of the line AB:
The slope of AB is given by the formula:

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

Substituting the values, we get:

m = (3 - 8)/(-1 - (-6)) = 5/5 = 1

So, the slope of AB is 1.

Slope of the perpendicular bisector:
Since the perpendicular bisector of AB is perpendicular to AB, its slope will be the negative reciprocal of the slope of AB. Therefore, the slope of the perpendicular bisector is -1.

Equation of the perpendicular bisector:
Now that we have the slope of the perpendicular bisector (-1) and the midpoint of AB (-3.5, 5.5), we can use the point-slope form of a line to find the equation of the perpendicular bisector:

y - y1 = m(x - x1)

Substituting the values, we get:

y - 5.5 = -1(x - (-3.5))

y - 5.5 = -x - 3.5

y = -x + 2

Therefore, the equation of the line that is the perpendicular bisector of AB with A(-6, 8) and B(-1, 3) is y = -x + 2, which is option (D).

- I Hope This Helps! :)

(x - 1) ^ 7 -( x -1) ^ 4

Answers

x^7-7x^6+21x^5-36x^4+39x^3-27x^2+11x-2

Volume of 5in, 9in , 10in Triangular Prism

Answers

Answer:

[tex]\mathrm{225\:in\:\right)^3}[/tex]

Step-by-step explanation:

Given:

base = b = 10 in

height = h = 9 in

length = l = 5 in

[tex]\mathrm{Use\:formula}\:\mathrm{V= \dfrac{1}{2}\times\:b\times\:h\times\:l:}[/tex]

[tex]\mathrm{V= \dfrac{1}{2}\times\:10\times\:9\times\:5}[/tex]

[tex]\mathrm{= 225\:in\:\right)^3}[/tex]

Final answer is rounded to 3 decimal places.

QUESTION 15
Consider the following argument: If seven clowns are squeezed into a small car, we are at the circus. Seven clowns are
not squeezed into a small car. So, we are not at the circus. What is the logical form of this argument?
O a. Modus Tollens
O b. Denying the antecedent
O c. Affirming the consequent
O d. Disjunctive Syllogism
O e. Modus Ponens

Answers

The logical form of this argument is -

Denying the Antecedent.

What is them meaning of "Denying the antecedent"?

Denying the antecedent, sometimes also called inverse error or fallacy of the inverse, is a formal fallacy of inferring the inverse from the original statement.

It is committed by reasoning in the form :

If P, then Q. Therefore, if not P, then not Q.

Given is the argument as -

"If seven clowns are squeezed into a small car, we are at the circus. Seven clowns are not squeezed into a small car. So, we are not at the circus"

The logical form of this argument is -

Denying the Antecedent

Therefore, the logical form of this argument is -

Denying the Antecedent.

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Juan ran 2.3 miles on Monday. he ran 5.6 miles on Wednesday.his goal is to run 12 miles by Saturday. how many more miles does juan need to run to meet his goal of 12 miles.
please show work and help me

Answers

Answer:Juan has already run a total of 2.3 + 5.6 = 7.9 miles on Monday and Wednesday.

To reach his goal of running 12 miles by Saturday, he still needs to run an additional 12 - 7.9 = 4.1 miles.

Therefore, Juan needs to run 4.1 more miles to meet his goal of running 12 miles by Saturday.

Step-by-step explanation:

What are the coordinates of each point after the quadrilateral RSTU is rotated 90 degrees about the origin?



Answers

After the rotation, the coordinates of each point will be:Point R: (x,y) = (-y,x)Point S: (x,y) = (-x,-y)Point T: (x,y) = (y,-x)Point U: (x,y) = (x,y)

What is coordinates?

Coordinates are a set of two or more numbers or variables that indicate the position of a point, line, or object in space. Coordinates are used in many fields, from mathematics and science to navigation and cartography. Coordinates are essential for accurately mapping and measuring the location of objects on Earth and in the universe. Coordinates can also be used to calculate the area of a region or the volume of an object. Coordinates are one of the most important tools for understanding and manipulating the physical world.

Quadrilateral RSTU has a rotation of 90 degrees about the origin. After the rotation, the coordinates of each point will be:

Point R: (x,y) = (-y,x)
Point S: (x,y) = (-x,-y)
Point T: (x,y) = (y,-x)
Point U: (x,y) = (x,y)

This occurs because when rotating a point around the origin, the x-coordinates and y-coordinates change places. The sign also changes for the x-coordinate and the y-coordinate in order to preserve the direction of the rotation.

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[tex]\int\limits^3_2 2{x} \, dx* \frac{3x}{2}[/tex]

Answers

Answer:

We can solve this integral using the u-substitution method.

Let u = 3x, then du/dx = 3 and dx = du/3.

Substituting these values, we get:

∫2x * 2/3x dx = ∫4/3 du

Integrating, we get:

= (4/3)u + C

Substituting back u = 3x, we get:

= (4/3)(3x) + C

= 4x + C

Therefore, the solution to the integral ∫2x * 2/3x dx is 4x + C.

What are the domain and range of the function graphed below?

Answers

The domain is the set of all x-values greater than or equal to 1, and the range is the set of all y-values greater than or equal to -2.

What is a coordinate plane?

A coordinate plane is a two-dimensional graph that is used to locate points in a given space. The two axes intersect at a point called the origin, which is located at the coordinates (0, 0). Points on the coordinate plane can be labeled using their x and y coordinates, which are written in the form (x, y).

The graph below shows a function in the coordinate plane, which is made up of a curved line that begins at the point (1, -2) and rises as it moves to the right. The domain of the function is all x-values, or inputs, which are greater than or equal to 1. The range of the function is all y-values, or outputs, which are greater than or equal to -2.

When determining the domain and range of a function, it is important to remember that the domain is the set of all possible inputs, while the range is the set of all possible outputs. In the case of the graph below, the domain is the set of all x-values greater than or equal to 1, and the range is the set of all y-values greater than or equal to -2.

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Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).

Answers

It is true that the graph contains the point (0, 0).

The following three assertions regarding the function and its graph are true:

The function's graph resembles a parabola.

The graph begins at the bottom.

The point is shown in the graph (0,0).

Explanation:

A second-degree polynomial function, the quadratic function f(x) = x2 - 5x + 12 has a parabola as its graph.

The parabola widens downward because the coefficient of x2 is positive (1 in this instance).

When we replace x with -10 in the given function, we obtain the value of f(-10) as (-10)2 - 5(-10) + 12 = 82. Hence, "f(-10) = 82" is true.

We substitute x = 20 in the given function, resulting in f(20) = 202 - 5(20) + 12 = 212, to see if the point (20, -8) is on the function's graph. The claim "The graph contains the point (20, -8)" is untrue since the point's y-coordinate is -8, which is not equivalent to f(20).

We substitute x = 0 in the given function to get f(0) = 02 - 5(0) + 12 = 12 to determine if the point (0, 0) is on the function's graph. The assertion "The graph contains the point (0, 0)" is true because the y-coordinate of the point (0, 0) is 0, which is equivalent to f(0).

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pls solve. IM NOT GONNA GET HONOR ROLL IF I DONT DO THIS PLEASE GUYS I BEG. solve the table PLEASE, PLEASE, PLEASE THANK YOU

Answers

So the handwriting is a bit messy.

a recipe for polvorones , which are mexican pink sugar cookies needs 3/4 cups of white sugar and 1/3 cup of cane sugar .which model can be used to find the total amount of sugar in cups the recipe needs

Answers

Answer:2

Step-by-step explanation:I DONT REALLY GIVE A THING I NEED POINTS.

Use the drawing tools to form the correct answ
Plot function / on the graph.
h(x)= {-4, x<-3
x+5, >-3

Answers

Answer:

I do not have access to drawing tools. However, I can describe how to plot the function on a graph.

To plot the function h(x) = {-4, x < -3 and x+5, x > -3, you would start by drawing the x-y axes on a coordinate plane. Then, you would mark a point at x=-3 on the x-axis. At this point, the value of h(x) changes from -4 to x+5. So, you would draw a solid dot at (-3, 2) on the graph.

Next, you would draw a horizontal line at y=-4 to the left of x=-3, indicating that h(x) is always equal to -4 for x values less than -3.

Finally, you would draw a diagonal line starting from the dot at (-3, 2) and continuing to the right. This line represents the equation x+5 for x values greater than -3.

The resulting graph should have a horizontal line at y=-4 to the left of x=-3, a solid dot at (-3, 2), and a diagonal line extending to the right from the dot.

Step-by-step explanation:

Data were collected on the weight, in ounces, of puppies for the first three months after birth. A line of fit was drawn through the scatter plot and had the equation w = 5.05 +0.3d, where w is the weight of the puppy in ounces and d is the age of the puppy in days.
What is the w-intercept of the line of fit and its meaning in terms of the scenario?
5.05; for each additional day after the puppy is born, its weight is predicted to increase by 5.05 ounces
5.05; a puppy who is just born is predicted to weigh 5.05 ounces
0.3; for each additional day after the puppy is born, its weight is predicted to increase by 0.3 ounces
0.3; a puppy who is just born is predicted to weight 0.3 ounces​

Answers

The w-intercept of the line of fit is 5.05, and its meaning in terms of the scenario is that a puppy who is just born is predicted to weigh 5.05 ounces.

What are intercepts?

The intercepts are defined as an intercept that is located at the axes of the graph, which are the location or coordinates from where the line crosses.

The w-intercept of the line of fit is the value of w when d = 0, which means the weight of a puppy when it is born.

According to the equation w = 5.05 + 0.3d, when d = 0, we have:

w = 5.05 + 0.3(0) = 5.05

Therefore, the w-intercept of the line of fit is 5.05,

This means in terms of the scenario that a puppy who is just born is predicted to weigh 5.05 ounces.

Hence, the correct answer is B.

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Please look at the image provided and find the perimeter if the rectangle!

Answers

Perimeter of the rectangle = 8x²y +26x and the area of the rectangle =52x³y.

What do we mean by perimeter?

Perimeter is the distance around the edge of the shape. Learn how to find the perimeter by adding the lengths of the sides of various shapes

What is area?

Area is defined as the total space occupied by a planar (2-D) surface or shape of an object. The space enclosed by the boundaries of a plane figure is called the area. The area of ​​a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units such as cm² or m² 

Exponent rule:

To express the expression in a simplified manner the exponent rule is used.

Perimeter can be calculated using the formula :(2*length[L] )+(2*width[W})2(L+W)

Area can be calculated using the formula:

Length * Width

L*W

Given:

4x²y and 13x

perimeter=2(L + W)=2(4x²y +13x)=8x²y +26x

Area=L*W=4x²y *13x=52x³y

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Jessica is running for class president and to raise money she is selling candy bars and drinks. Here are her
profits.
. 50 candy bars and 40 drinks for $65
100 candy bars and 50 drinks for $100
How much did she sell the drinks for?

Answers

Jessica sold the drinks for $1 each to raise money as she is running for class president.

What is elimination method?

The elimination method is a technique used to solve a system of linear equations in two variables. In this method, we multiply one or both equations by appropriate constants to obtain equivalent equations in which one of the variables has the same coefficient but with opposite signs. Then we add the equations to eliminate one of the variables, and solve for the remaining variable.

According to question:

Let the price of one candy bar be represented by x, and the price of one drink be represented by y.

From the first equation, we know that:

50x + 40y = 65

From the second equation, we know that:

100x + 50y = 100

We want to find the value of y, so we can solve for y using either substitution or elimination method. Here, we will use elimination method.

Multiplying the first equation by 2, we get:

100x + 80y = 130

Subtracting the above equation from the second equation, we get:

100x + 50y - (100x + 80y) = 100 - 130

Simplifying the left side and right side of the equation, we get:

-30y = -30

Dividing both sides by -30, we get:

y = 1

Therefore, Jessica sold the drinks for $1 each.

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The function f is graphed below. Determine the intervals on which f is increasing and decreasing.

Answers

The function is decreasing on the interval -6 < x < 0

increasing on the interval 0 < x < 4, and increasing on 4 < x < 9

7. A pot of water is heated to 200°F. The table shows typical temperature readings for the pot. The room temperature is 70°F.
After 5 minutes the pot of water is 164°F. How long will it take the water to cool to 150°F? Round to the nearest minute.
A. About 4 min
B. About 3 min
C. About 8 min
D. About 6 min

Answers

The amount of time it would take the water to cool to 150°F is: C. About 8 min.

How to find an equation of the line of best fit for the data?

In this scenario, the time would be plotted on the x-axis of the scatter plot while the temperature would be plotted on the y-axis of the scatter plot.

On the Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display an equation for the line of best fit (trend line) on the scatter plot.

From the scatter plot (see attachment) which models the relationship between the time and temperature, an exponential equation for the line of best fit is given by:

[tex]y = 192e^{-0.028x}[/tex]

When temperature y = 150°F, the value of x (in minutes) can be calculated as follows:

[tex]150 = 192e^{-0.028x}[/tex]

ln(150/192) = -0.028x

x = -0.24686007793/0.028

x = 8 mins.

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Given the linear equation y = 7 x + 2 , evaluate y when x = 1 .

Answers

Answer:

y=9

Step-by-step explanation:

y=7x+2

y=7(1) +2

y=7+2

y=9

Measure the diameter of the tin in mm and write down the real diameter in mm

Answers

The required real diameter of the tin is 250 mm.

What is the diameter?

Diameter is the length of a straight line drawn through the center of a circular object, such as a circle or sphere. It is the distance between two locations on the object's edge that are furthest apart and pass through the object's center.

Here,

If the diameter of the tin in the picture is 10 cm, then the actual diameter of the tin can be calculated as:

Actual Diameter = 2.5 x Picture DiameterActual Diameter = 2.5 x 10 cmActual Diameter = 25 cm

To convert the actual diameter to millimeters (mm), we can multiply by 10:

Actual Diameter in mm = Actual Diameter x 10Actual Diameter in mm = 25 cm x 10Actual Diameter in mm = 250 mm

Therefore, the real diameter of the tin is 250 mm.

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Full Question:
See the attached.

3x + 12y = −8 in intercept form

Answers

Answer:

y=-1/4x-2/3

Step-by-step explanation:

Move 3x to the right and 12 to the left


12y= -3x-8


Divide by 12


Y=-3x-8/12


Simplify the equation


Solution


Y= -1/4x - 2/3

For each of the questions in this homework, please include an expla
strategies. Also please do not convert any of the fractions to decima
method, or cross multiplication. You may use the fraction tiles

Answers

The comparisons of the fractions given above is enumerated below.

What is the rationale for the above response?

1) To compare 1/8 and 1/9, I can find a common denominator by multiplying the denominators together. The common denominator is 8 x 9 = 72.

Then, I can convert each fraction to have a denominator of 72 by multiplying the numerator and denominator of each fraction by the appropriate factor. The result is 9/72 and 8/72. Since 9/72 is bigger than 8/72, I know that 1/8 is smaller than 1/9.

2) To compare 7/8 and 8/9, I can find a common numerator by multiplying the numerators together. The common numerator is 56. Then, I can convert each fraction to have a numerator of 56 by multiplying the numerator and denominator of each fraction by the appropriate factor. The result is 49/56 and 64/72. Since 64/72 is bigger than 49/56, I know that 8/9 is bigger than 7/8.

3) To compare 15/38 and 5/13, I can find a common numerator by multiplying the numerators together.

The common numerator is 195. Then, I can convert each fraction to have a numerator of 195 by multiplying the numerator and denominator of each fraction by the appropriate factor.

The result is 75/195 and 75/195. Since the numerators are the same, I can compare the denominators. Since 195 is bigger than 169, I know that 15/38 is smaller than 5/13.

4) To compare 5/9 + 7/12 and 1/2, I can compare each fraction to 1/2 separately.

First, 5/9 is smaller than 1/2 because 9 is bigger than 18, so each ninth is smaller than each half.

Next, 7/12 is also smaller than 1/2 because 12 is bigger than 6, so each twelfth is smaller than each half.

Therefore, both fractions added together (without actually adding them) will be smaller than 1/2.

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Gabby gets paid 10$ for every dog she walks. The amount of money she earns depends on the number of dogs she walks.

Answers

This equation works for any number of dogs, as long as the rate remains constant.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

That's correct, Gabby's earnings are directly proportional to the number of dogs she walks. We can use a simple equation to represent this relationship:

Earnings = Rate x Number of Dogs

In this case, Gabby's rate is $10 per dog, so the equation becomes:

Earnings = 10 x Number of Dogs

For example, if Gabby walks 5 dogs, her earnings would be:

Earnings = 10 x 5 = $50

If she walks 8 dogs, her earnings would be:

Earnings = 10 x 8 = $80

And so on.

Therefore, This equation works for any number of dogs, as long as the rate remains constant.

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Find the Value of the sphere

Answers

The volume of the sphere according to the question will be approximately 7232.752cm³.

What is a sphere?

A geometric shape with a sphere-like appearance. In three dimensions, the sphere is defined. The sphere is a three-dimensional solid with a volume and surface area.

What is the Volume of sphere?

A sphere is a perfectly round geometrical 3D object. The formula for its volume equals:

              Formulae of  Volume of sphere = (4/3) × π × r³

So according to the question:

                            r = 12cm(given)

Substitute in above formulae:

                    =(4/3)×3.14×12×12×12 cm³           [Here 4/3= 1.333, π=3.14,r=12]

                    = 1.333×3.14×12×12×12 cm³

      Volume of sphere will be =7232.752 cm³

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Substitute the given values into the given formula and solve for the unknown variable. If​ necessary, round to one decimal place.
S=4LW+2WH​; S=138​, L=9​, W=3. ​(Surface area of a special rectangular​ box)
H=

Answers

Step-by-step explanation:

We have the formula for the surface area of a rectangular box given by:

S = 4LW + 2WH

Substituting the given values, we get:

138 = 4(9)(3) + 2(3)H

Simplifying, we get:

138 = 108 + 6H

6H = 138 - 108

6H = 30

H = 30/6

H = 5

Therefore, the value of the unknown variable H is 5.

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The gene c2 in chickens is responsible for a condition known as creeper (chickens walk poorly due to shortened deformed legs). The allele of this gene that is responsible for normal development is c1. Individuals that are homozygous for c1 develop normally, but heterozygous individuals (c1c2) have creeper. Chick embryos that are homozygous for creeper (c2c2) die during incubation and never hatch. If two chickens showing the creeper phenotype are crossed, what phenotypic ratio is expected for the progeny that hatch? 1 normal: 2 creeper 1 creeper: 1 normal 3 creeper: 1 normal 3 normal: 1 creeper 2 normal: 1 creeper You read online that a 15 ft by 20 ft brick patio would cost about $2,275 to have professionally installed. Estimate the cost of having a 14 by 24 ft brick patio installed. 10 e^3x=250 I need to show work What were characteristics that pulled the Greek city-states apart? If they were originally 12 apples at home, the number of apples after a 50% increase would be: Select ALL the correct answers. Which of the following statements are true about the equation below? The solutions are . The solutions are . The extreme value is at the point (7,-3). The graph of the quadratic equation has a minimum value. The extreme value is at the point (3,-7). The graph of the quadratic equation has a maximum value. Which point would be included in the region shaded to show the half-plane greater than the line? Math part 3 question 2 About 24% of a population are of a particular ethnic group. 210 people are randomly selected from this population. Round all answers to 2 decimal places. Convert the percentage to a decimal: P: Compute the mean and standard of this size sample of this binomial distribution: Mean: Standard Deviation: Describe how Romanticism reflected the values associated with nationalism. How do I solve 4(x-1) =2(6-2x) . Does Marullus feel the same emotions as the people that are described in the passage? Cite evidence to support your answer. The value ofandfor which the system of equationsx+y+z=6,x+2y+3z=10andx+2y+z=have no solution, areA=3,=10B=3,=10C=3,=10DNone of these Which service is only provided by the federal government?A : operation of police and fire departments?B: garbage collection C: national defense D: setting education standards for children How humans evolved from their earliest days to the beginning of civilizations in settled communities. What do you think are the traits that make humans human? Explain why you think these traits are important.HELP ME PLEASE What are sunken stomata and stomatal crypts? Describe how theywork, and how they differ from stomata on other plants that lackthem. What is the advantage of having these structures? Idea popular to the public, based on bad science. The answer is 10 letters Consider the following two investment opportunities: a stock fund and a bond fund with E(rS)=0.20, S=0.27, E(rB)=0.12, B=0.15. The correlation coefficient between the two funds is 0.10. The expected rate of return of the minimum variance portfolio is _______%. (Please round your answer to the nearest first decimal place and note that a return of 0.251 should be expressed as 25.1%.) Which of the following equations represents a linear function? x = 3 y equals one half times x minus 5 y equals three fourths times x squared 3x 6 = 4 I need help with this one, please.City Bank has estimated that its average daily net transaction accounts balance over the recent 14-day computation period was $231 million. The average daily balance with the Fed over the 14-day maintenance period was $8.5 million, and the average daily balance of vault cash over the two-week computation period was $6 million.EXAMPLE 13-2 Computation of Dany AvenuseRequired ReservesConsider ABC Bank s reserve manager who wants to assess thebanksa. Under the rules effective in 2016, what is the amount of average daily required reserves to be held at the Fed during the reserve maintenance period for these demand deposit balances?b. What is the average daily balance of reserves held by the bank over the maintenance period? By what amount were the average reserves held higher or lower than the required reserves?c. If the bank had transferred $35 million of its deposits every Friday over the two-week computation period to one of its off-shore facilities, what would be the revised average daily reserve requirement?A. Under the rules effective in 2016, what is the amount of average daily required reserves to be held at the Fed during the reserve maintenance period for these demand deposit balances? (Do not round intermediate calculations. Enter your answer in millions rounded to 3 decimal places. (e.g., 32.161))Average daily reserve required millionB. What is the average daily balance of reserves held by the bank over the maintenance period? By what amount were the average reserves held higher or lower than the required reserves? (Input the amount as a positive value. Enter your answers in millions rounded to 3 decimal places. (e.g., 32.161))Average daily balance of reserves held million The average reserves were Lowerby million.C. If the bank had transferred $35 million of its deposits every Friday over the two-week computation period to one of its off-shore facilities, what would be the revised average daily reserve requirement? (Do not round intermediate calculations. Enter your answer in millions rounded to 3 decimal places. (e.g., 32.161))Revised average daily reserve requirements million