On addition, the simplest form of the given equation is results in 2427.75.
Addition - In math is a process of combining two or more numbers.
OR
the process of finding the total, or sum, by combining two or more numbers
RULES IOF ADDITION
It is always positive to add two positive integers. It is always negative to add two negative values. Two positive integers can be subtracted in either a positive or negative way.thus
= − 0 . 25 + 3 1 6 + 2 1 12
= -0.25 + 2428
= 2427.75
On addition, the simplest form of the given equation is results in 2427.75.
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HELPPPPP ASAPPPP
What will it cost to carpet a rectangular floor measuring 27 feet by 15 feet if the carpet costs $19.05
per square yard?
...
If the carpet costs $19.05 per square yard, it would cost $857.25 to carpet a rectangular floor that is 27 feet by 15 feet.
How are calculations made per square yard?Multiplying the length by the breadth in feet and dividing by 9 yields the square yards (SQYDS). A square yard has a surface area of 9 square feet.Given: A floor rectangle with dimensions of 15 feet by 27 feet.
We need to determine the cost to carpet the floor if the carpet costs $19.05 per square yard.
Area of rectangular floor = 15 × 27
= 405 square feet
We know that,
1 square yard = 9 square feet
So,
405 square feet = 405/9 = 45 square yards
Cost to carpet 1 square yard = $19.05
Cost to carpet 45 square yards = 19.05 × 45
= $857.25
Therefore, Carpeting a rectangular floor measuring 27 feet by 15 feet costs $857.25 if the carpet costs $19.05 per square yard.
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3. A taxi ride in a large city costs $3.50 plus $6 for each mile traveled. Write an equation to represent this
situation where d is the distance traveled.
If Brandon traveled 7.5 miles by taxi, how much was the cost, C, of his taxi ride?
Which equation represents this situation and the cost of Brandon's taxi ride?
The cost of Brandon's taxi ride is $ 4.8.
A taxi ride in a large city costs $3.50 plus $6 for each mile traveled .The 3 mile cab ride includes a basic charge as well as the cost for the distance covered.If Brandon traveled 7.5 miles by taxi, how much was the cost, C, of his taxi.
For a 6 mile trip, the cost is $4.80 which means that :
The cost of 3 miles is $4.80−$3.00=$1.80
Therefore the cost for 1 mile is $1.80÷3=$0.60
The basic fee for hiring the cab is $3.00−$1.80=$1.20
So the total cost, c for a trip of d miles will be shown below:
c=0.6d+1.2
Check:
If d=3
c=0.6(3)+1.2=3
If d=6
c=0.6(6)+1.2= 4.8
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Solve 2x^2-23=y when x=1
The value of y in the expression [tex]2x^{2} - 23=y[/tex] is -21.
Given System of Equations are:
[tex]2x^{2} - 23=y[/tex] .....(1)
[tex]x=1[/tex] ..........(2)
Now substituting x = 1 in in equation (1)
[tex]2x^{2} - 23 = y\\ y = 2x^{2} - 23\\ y = 2 x 1^{2} - 23\\ y = 2 x 1 - 23\\ y = 1 - 23\\ y = -21[/tex]
Hence, the value of y in the expression [tex]2x^{2} - 23=y[/tex] is -21.
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What is the answer and can you answer all 3 please
For the first question, the problem is about the comparison between a graph and a function given in this case for the height of a baseball after t seconds of two players A and B.
For the second question, the problem gives a graph for player A and a function for player B
For the third question we could ask for example if the two players reach the same height at the same time how much time takes both players to reach a certain height, the maximum height of player A is bigger than player B or less than.
Dontay has 1 5/8 cups of brown sugar .he needs 1/2 cups of brown sugar to make one batch of cookies. How may batches can dontay make ?
Answer:
3
Step-by-step explanation:
1 5/8 is 13/8, he needs 4/8 so 13/4=3R1 so 3
a fruit package company produced peaches last summer whose weights were normally distributed with the mean 14 ounces and standard deviation 0.4 ounce. among a sample of 1000 of those peaches about how many could be expected to have any weights of more than 12.6 ounces?round to the nearest whole number as needed
Let x be the random representing the weights of the peaches produced by the company. Since the weights are normally distributed and the population mean and standard deviation are known, we would apply the formula,
z = (x - mean)/standard deviation
From the information given,
mean = 14
standard deviation = 0.4
For the weights to be more than 12.6 ounce, the equation would be
[tex]z\text{ = }\frac{(12.6\text{ - 14)}}{0.4}[/tex]z = -3.5
Looking at the normal distribution table, the probability corresponding to the z score of - 3.5 is 0.00023
Since we want to determine propability for the weights greater than 12.6 ounce, the required probability would be
1 - 0.00023 = 0.99977
Given that the total number of peaches is 1000, the number of peaches expected to have weights more than 12.6 ounce is
0.99977 * 1000 = 999.77
Rounding to the nearest whole number, it becomes 1000
The number of peaches expected to have weights more than 12.6 ounce is approximately 1000
For the polynomial P(x) = 4x + 7x + 8 and c = 1, find P(c) by (a) direct substitution and (b) the remainder theorem
SOLUTIONS
For the polynomial P(x) = 4x^2 + 7x + 8 and c = 1
[tex]P(x)=4x^2+7x+8[/tex]where c = 1
(a) By direct substitution
[tex]\begin{gathered} P(c)=P(1) \\ P(x)=4x^2+7x+8 \\ P(1)=4(1)^2+7(1)+8=4+7+8=19 \\ P(1)=19 \end{gathered}[/tex](b) The Remainder Theorem states that when we divide a polynomial
P(x) by x - c the remainder R equals P(c)
[tex]4x^2+7x+8\div x-1[/tex]From the remainder theorem , the remainder = 19
Which of the following could be an algebraic expression for the total cost of dinner, less a $5 coupon, divided by 6 people?
6x − 5
6x(5)
(x − 5) ÷ 6
5 − 6x
Answer:
6x - 5
Step-by-step explanation:
find an equation of the line containing the two given points.Express your answer in the indicated form. points (1,2) and (3,10):standard form
Equation of the line
There are several forms to express the equation of a line.
The equation of the line in slope-intercept form is:
y=mx+b
Being m the slope and b the y-intercept.
The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:
[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]The standard form of a line is:
Ax + By = C
We are given two points (1,2) and (3,10). The point-point equation is adequate according to the data we are provided.
[tex]\begin{gathered} \displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1) \\ \text{Substituting:} \\ \displaystyle y-2=\frac{10-2}{3-1}(x-1) \end{gathered}[/tex]Operating:
[tex]\begin{gathered} y-2=\frac{8}{2}(x-1)=4(x-1) \\ \\ \text{Operating:} \\ y-2=4x-4 \end{gathered}[/tex]Subtracting 4x and adding 2:
y - 4x = -4 + 2 = -2
Rearranging:
-4x + y = -2
This is the required equation in standard form
3. In a 2-dimensional object the label is always square units and notated as units^2 i.e. square inches or in^2. What is the name and notation of a 3-dimensional object?
When we have a 3-dimensional, then the units have to by to the third power because the dimensions multiply, for example, if each dimension is in meters, then
[tex]m\times m\times m=m^3[/tex]Hence, the name of a 3-dimensional object is cubic units, and the notation is units^3.Samuel was preparing for the triathlon. He did 3 activities every morning: Ran for 30 minutes, covering 4.5 miles. Swam for 20 minutes, covering 2/3 mi. biked for 45 min, covering 9 miles. What was Samuel's average speed during his morning training?
so nobody seems to know this answer so 20 points
Samuel's average speed was 0.26 kilometers per minute during his morning training.
What is Average speed?Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.
Given that Samuel was preparing for a triathlon. Every morning, he accomplished three things: I ran for 30 minutes and covered 4.5 miles. I swam for 20 minutes, covering around 2/3 miles. I biked for 45 minutes and 9 kilometers.
Here, we have the total distance traveled by Samuel = 4.5 + 2/3 + 9 = 14.17 kilometers
And the total time is taken by Samuel = 30 + 20 + 45 = 55 minutes
So, the average speed = distance / time
The average speed = 14.17/55
The average speed = 0.26 kilometers per minute
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Relative rates of growth, graphing calculator required. Not that difficult but some rules are needed. Ask me if you have any questions regarding the material. Thanks!
Given:-
[tex]f(x)=\sqrt[]{x},g(x)=\ln (x)[/tex]To find the required option, which is correct.
So we need to find the value when x tends to infinity. so to find the value we substitute infinity in place of x. so we get,
[tex]\begin{gathered} f(x)=\sqrt[]{x} \\ f(\infty)=\sqrt[]{\infty}=\infty \end{gathered}[/tex]Also we get,
[tex]g(x)=\ln (x)=\ln (\infty)=\infty[/tex]So the resulting value is infinity for both.
So the required option is The rate of growth cannot be determined.
The circle below has center A.The lenght of AB is in milliliters
ANSWER
[tex]AB=12\text{ }mm[/tex]EXPLANATION
We want to find the length of AB.
The length of AB represents the radius of the circle since it is the distance from the center of the circle to the circumference.
We are given that the diameter of the circle is 24 mm. The radius of a circle is half of its diameter, hence, the radius of the circle is:
[tex]\begin{gathered} r=\frac{24}{2} \\ r=12\text{ }mm \end{gathered}[/tex]Therefore, the length of AB is:
[tex]AB=12\text{ }mm[/tex]That is the solution.
Using only a compass can you find points in a plane that are the same distance from points A and B
You can locate points on a plane (or more specifically, a line segment) that are equally spaced apart from points A and B using a compass.
How can you use a compass to make a locus of points that are equally spaced between A and B?
Draw a straight line AB=7 cm using a ruler.Draw an arc from A using a compass, and then draw another arc that intersects the first one at the point where it crosses AB.From A to the arc, draw a straight line, then extend it to M.Measure 5 cm with a ruler and write AC on the result.We have the required triangle by joining BC.From point C, draw an arc that cuts over AC and BC. From the point where it cuts across AC and BC, draw an arc that cuts across each other. Finally, draw a line that extends from point C to the junction of the two arcs.The same holds true for A as well as O, the intersection of the two lines.Draw a circle with O as the center. This circle will serve as our incircle. Next, draw a perpendicular from O to AB. This perpendicular will serve as the radius.AN is the set of points in our locus that are equally spaced from the lines AB and AC.We must create an incircle, which is a circle inside of a triangle. We can accomplish this by creating an angle bisector from two sides; the intersection point will serve as the incentre. The center of the required circle.
The location where two points are equally distant from one another is known as the angle bisector.
Therefore,
You can locate points on a plane (or more specifically, a line segment) that are equally spaced apart from points A and B using a compass.
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Describing Supplementary Angle Relationships
► Circle all the problems that show two labeled angles that are supplementary.
Then find the value of x for only the circled problems.
Additional Perspectives. A pair of supplementary angles are two angles whose sum measures 180°. A 110° angle and a 70° angle are two examples of supplementary angles
1) 4x+ 6 = 130
x= 31
2) 9x +36+45 =180
x=11
What is a supplementary angles ?Additional Perspectives. A pair of supplementary angles are two angles whose sum measures 180°. A 110° angle and a 70° angle are two examples of supplementary angles. Consider the following example: Here is a 180° straight line, let's call it Z.If a transversal cuts two parallel lines, the interior angles on the same side of the transversal are supplementary. If a transversal cuts two parallel lines, the exterior angles on the same side of the transversal are supplementary.
1) 4x+ 6 = 130
x= 31
2) 9x +36+45 =180
x=11
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Since the angles are supplementary, their measures add to 180°. In other words: 2x+(2x–2)=180. Solving this equation gives the value of x. In algebra, the letter "x" is frequently used to denote an unknown value. It is referred to as a "variable" or occasionally a "unknown." x is a variable in x + 2 = 7.
What exactly is supplemental angle?Two angles are said to be supplementary if their sums total 180 degrees. A linear pair's two angles, like angles 1 and 2 in the illustration below, are always supplementary. But two angles don't have to be close to one another to be supplementary. Since their measures sum up to 180 degrees, the numbers 3 and 4 in the following figure are supplementary.Complementary angles are two angles with a combined angle of 90 degrees, whereas supplementary angles have a combined angle of 180 degrees. Angles sum right angle, but supplementary and complementary angles don't have to be nearby (sharing a vertex and side, or close to each other).Two angles are said to be supplementary angles because they combine to generate a linear angle when their sum is 180 degrees. When two angles add up to 90 degrees, however, they are said to be complimentary angles and together they make a right angle.To know more about supplemental angle refer to:
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Michael has eight bags of mulch how many trees can he mulch if each tree requires 2/3 bags of mulch.a) 16/3, b) 3/4, c) 12, d)16
12 (option C)
Explanation:1 tree requires 2/3 bags of mulch
Let the number of trees for 8 bags of mulch = y
1 tree = 2/3 bags
y = 8 bags
Cross multiply:
8(1) = y(2/3)
[tex]\begin{gathered} 8\text{ = }\frac{2y}{3} \\ Mu\text{ltiply both sides by 3:} \\ 8(3)\text{ = 2y} \\ 24\text{ = 2y} \end{gathered}[/tex][tex]\begin{gathered} \text{Divide both sides by 2:} \\ \frac{24}{2\text{ }}=\frac{2y}{2} \\ y\text{ = 12 } \end{gathered}[/tex]Hence, 8 bags of mulch require 12 trees (option C)
In a state’s lottery, you can bet $1 by selecting three digits, each between 0 and 9 inclusive. If t he same three numbers Are drawn in the same order, you win and collect $400. How many different selections are possible
There are 1000 different selections possible.
There are 10 digits in total from 0 to 9.
It is required to make a three digit number using 10 digits, where repetition is allowed.
So, in the three digit number, the unit place has 10 possible choices, the tens place also has 10 choices, and the hundreds place has 10 possible choices.
So, the total number of different selections of three- digit numbers can be obtained by multiplying 10 by itself three times.
Total different selection possible = Total different choices to fill the units place ×Total different choices to fill the tens place × Total different choices to fill the hundreds place
Total different selection possible = 10×10×10
= 1000
As a result there are 1000 different selections possible.
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How does mentat health effect aninals
Mental health affects animals as it brings about anxiety, unfriendliness and depression
Whet is mental health?Our emotional, psychological, and social well-being are all parts of our mental health. It influences our thoughts, emotions, and behaviors. It also influences our ability to manage stress, interact with others, and engage in obsessive behaviors than those found in the wild.
Having a pet as company helps reduce your anxiety. enhancing one's confidence Pets don't judge you, are unconditionally loving, and make excellent listeners. This can boost your self-confidence, particularly if you experience loneliness or miscommunication. According to science, many non-human creatures experience psychological disorders. Although it is frequent in humans, at least one mental disorder appears to have spared all other animals:
When they are abused or when they are denied what they want or need, animals frequently exhibit signs of mental illness. Perhaps this explains why captive animals appear to engage in more obsessive activities than their wild counterparts.
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The velocity of a drone relative to the air is modeled by v = 13i + 3j. The drone encounters wind with velocity modeled by w = −7i − 2j. Which is the true velocity vector of the drone?
From the statement of the problem, we know that:
• the velocity of the drone relative to the air is:
[tex]v=13i+3j,[/tex]• the drone encounters wind with velocity:
[tex]w=-7i-2j\text{.}[/tex]The true velocity vector of the drone is given by the sum of the velocities:
[tex]v+w=(13i+3j)+(-7i-2j)=(13-7)i+(3-2)j=6i+j.[/tex]Answer: 6i + j
Write two angles coterminal to 5pi/7, one that’s positive and one that’s negative
As given by the question
There are given that the angle:
[tex]\frac{5\pi}{7}[/tex]Now,
To find a positive and negative coterminal angle, add and subtract 2pi to the given angle.
Then,
[tex]\begin{gathered} \frac{5\pi}{7}+2\pi=\frac{5\pi+14\pi}{7} \\ =\frac{19\pi}{7} \end{gathered}[/tex]And,
[tex]\begin{gathered} \frac{5\pi}{7}-2\pi=\frac{5\pi-14\pi}{7} \\ =\frac{-9\pi}{7} \end{gathered}[/tex]Hence, the positive and negative angles are shown below:
[tex]\frac{19\pi}{7}\text{ and -}\frac{9\pi}{7}[/tex]How much would you need to deposit in an account now in order to have $2000 in the account in 15 years? Assume the account earns 3% simple interest. Round your answer to the nearest cent.
Converting linear function formulas
A linear equation has the conventional form Ax+By=C. A slope-intercept form equation (y=mx+b) must have the x and y on the same side of the equal sign and the constant on the opposite side in order to be converted to standard form. To relocate terms, use inverse operations.
What is a formula for linear form?Linear equations come in three main types:
shape of a point-slope: y - y1 = m (x-x1)
typical form: Ax + By = c
Y = mx + b is the slope-intercept formula.
A linear equation with one variable is written in standard form as ax + b = 0, where a 0 and x is the variable. A linear equation with two variables is written as ax + by + c = 0, where the variables are a 0, b 0, x, and y.
A formula's initial sign is usually an equal sign (=).
To enter a formula, click the desired cell.Click in the formula bar to begin the formula with the function. ... or begin entering the formula into the cell.When the formula's arguments are full, press Enter to display the formula's output in the cell.To Learn more About linear equation, Refer:
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We roll a pair of dice two times. Find the probability that a total of three is rolled each time.The probability that a total of three is rolled each time is ?
we have that
the favorable outcomes are
1 and 2 2 and 1
total outcomes=6*6=36
P(3 in one roll)=2/36=1/18
P(3 rolled 2 consecutive times)=(1/18)^2=0.0031
How to solve the equation: -2(x-2)+4=2x
Answer:
x = 2
Explanation:
Given the expression
-2(x-2)+4=2x
you are to find the value of x that will make the equation true
Open the bracket
-2x+4 + 4 = 2x
-2x + 8 = 2x
-2x - 2x = -8
-4x = -8
x = -8/-4
x = 2
Hence the solution to the equation is x = 2
A number line is drawn left to right with integers spaced 1 centimeter apart. An ant crawls onto the number line at +2. It then crawls 3.5 centimeters left, 4.8 centimeters right, and 7.9 centimeters left.
The ant is finally at a position -4.6 centimeters on the number line.
A number line is drawn left to right with integers spaced 1 centimeter apart.An ant crawls onto the number line at +2.This means the ant is at 2.0 on the number line.The ant then crawls 3.5 centimeters towards the left direction.This means the ant is at -1.5 on the number line now.The ant then crawls 4.8 centimeters towards the right direction.This means the ant is at 3.3 on the number line now.The ant then crawls 7.9 centimeters towards the left direction.This means the ant is at -4.6 on the number line now.To learn more about number line, visit :
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What is the solution to the given inequality?½-½ x ²-1/O x₂ -1O xs-1O x ≥ 3O x≤ 3IntroSolve the inequality.1---X24Apply properties:AddMultiplySubtractDivideTo start over:ResetDone
Answer:
x ≤ 3
Explanation:
The given inequality is
[tex]\frac{1}{2}-\frac{1}{4}x\ge-\frac{1}{4}[/tex]To solve the inequality, we first need to subtract 1/2 from both sides
[tex]\begin{gathered} \frac{1}{2}-\frac{1}{4}x-\frac{1}{2}\ge-\frac{1}{4}-\frac{1}{2} \\ \\ -\frac{1}{4}x\ge-\frac{3}{4} \end{gathered}[/tex]Then, multiply both sides by -4. Since -4 is a negative number, the symbol of the inequality changes, so
[tex]\begin{gathered} (-4)(-\frac{1}{4}x)\leq(-4)(-\frac{3}{4}) \\ \\ x\leq3 \end{gathered}[/tex]Therefore, the answer is
x ≤ 3
Last month, Carl earned $4900 after working 152 hours. What does Brian make hourly? [Round your answer to the nearest cent.
We have the following:
To know the amount earned per hour, we must divide the total value of money by the total number of hours worked, like this
[tex]\frac{4900}{152}=32.24[/tex]Which means that per hour Carl earns $ 32.24
the 90% confidence interval
Answer:
With a 90 percent confidence interval, you have a 10 percent chance of being wrong.--
Step-by-step explanation:
think it helps
have a nice night
a ski slope can be modelled by the equation of the tangent to the curve y=-0.12x^2+12 at the point where x=30
Answer:
y= -96
Step-by-step explanation:
y= -0.12x^2 +12
y= -0.12x 30^2+12
y= -96
I think the question isn't complete so I'm pretty sure I'm wrong but this is what I got :)
Which order pair represents point B in the graph (0, 2)(1, 0)(1, 2)(2, 1)
Notice that the point B is located two units away from the origin on the x-axis, and its one unit up fro the origin on the y-axis, thus, the point B is the ordered pair (2,1)
