On solving the provided question, we can say that we can assume that it is a rectangular backyard. Since no dimensions are provided therefore, neither volume nor area can be calculated.
What is rectangle?A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.
here,
we can assume that it is a rectangular backyard.
since no dimensions are provided therefore, neither volume nor area can be calculated.
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Which of the following tables represents a linear relationship that is also proportional
Answer picture below
Answer:
c=200+0.4Yd find determine equlibirum level investment is =400
Answer:im pretty sure its D
Step-by-step explanation:it goes through the origin
A rectangular playground area is 3,162 meters. The width is 51 meters. Find the length?
Work Shown:
area = length*width
length = area/width
length = 3162/51
length = 62 meters
Which conditional statement has a false converse? If a figure is a square, then it has four sides. If a point has x-coordinate 0, then it lies on the y-axis. If two angles are congruent, then they have the same measure. If two planes are parallel, then they have no points in common.
The conditional statement has a false converse will be the four-sided polygon may be square. Then the correct option is A.
What is the conditional statement?There have been two main categories of arguments in the studies of logic: conditional statements and polyamorous statements. These assertions, which are referred to as compound statements, are created by combining two other statements.
The converse statement should also be true when its condition is reversed.
Let's check all the options. Then we have
A. If a figure is a square, then it has four sides. The converse of the statement is false.
B. If a point has an x-coordinate 0, then it lies on the y-axis. The converse of the statement is true.
C. If two angles are congruent, then they have the same measure. The converse of the statement is true.
D. If two planes are parallel, then they have no points in common. The converse of the statement is true.
The conditional statement has a false converse will be the four-sided polygon may be square. Then the correct option is A.
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There are 13 muffins in each box. Which shows the tota
number of muffins in 4 boxes?
(4 × 10) + (4 x 3) = 52
(4 x 10) + 3 = 43
A
B
4+ (10 x 3) = 34
5 (4+10)+(4+ 3) = 21
The total number of muffins in 4 boxes by the arithmetic equation is (4 × 10) + (4 x 3) = 52.
What is arithmetic equation?The series where the common difference between any two next words stays constant is known as an arithmetic sequence. Let's review what a sequence is. A collection of numbers that follow a pattern is called a sequence.
Every term in an arithmetic sequence is created by adding a specified number (either positive, negative, or zero) to the term before it.
the number of boxes of muffins is 4
The muffins in each box is 13
so the total number of muffins in 4 boxes is 4 x 13
⇒ 4 x (10 + 3)
⇒ (4 x 10) + (4 x 3) = 52
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Please help im timed on this
The slope of the line is 1.25 and the value of x is 12.
What is slope of a line?A line's slope is defined as the ratio of the change in y coordinate to the change in x coordinate. A line's slope provides information on the steepness and direction of the line. the angle at which two straight lines intersect.
Given that:
rise =10
run = 8
The slope is determined by the following formula:
Slope = Rise / Run
[tex]Slope = \frac{10}{8} = 1.25[/tex] .
The slope of a line equation is given by:
[tex]y_2 - y_1 = m (x_2-x_1)[/tex]
Here, m is the slope of the equation.
Substitute the value of [tex]m= \frac{10}{8}, y_2=21 , y1= 6, x_2 =x, x_1= 0[/tex] in the equation.
[tex]21-6 = \frac{10}{8}(x-0)\\ \\15= \frac{10}{8} (x)\\\\(15)(8) = 10x\\\\120=10x\\\\x=12[/tex]
Hence the value of x is 12.
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Answer:
The slope of the line is 1.25 and the value of x is 12.
Step-by-step explanation:
Joe decided to track the temperature in his town for five consecutive days. On Monday, the temperature was 23°C. On Tuesday, it decreased by 9°C and then increased by 7°C on Wednesday. On Thursday, the temperature rose 4°C and then decreased by 5°C on Friday. What was the overall temperature change over those five days?
Using a subtraction operation, the overall temperature change over those five days that Joe tracked the temperature in his town was a decrease of 3°C.
How is the temperature change computed?The temperature change can be computed by determining the differences in temperature from one day to the next and summing the differences.
The temperature change can also be computed by finding the difference between the ending period's temperature and the beginning period's temperature.
Days Temperature Change
Monday 23°C 0
Tuesday 14°C (23 - 9) -9
Wednesday 21°C (14 + 7) +7
Thursday 25°C (21 + 4) +4
Friday 20°C (25 - 5) -5
Overall change = -3°C
= 20°C - 23°C = -3°C
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Use the picture below to answer the question.
6 ft
The angle of elevation from the swimmer to the lifeguard is 35*
Find the distance x from the swimmer to the base of the lifeguard chair.
Find the distance y from the swimmer to the lifeguard.
Round to the nearest tenth as needed.
Select the correct response
x=7.3ft, y= 3.4ft
x=8.6 ft y=10.5 ft
x=3.4ft, y=73 ft
x=10.5 ft, y= 8.6 ft
Answer: x = 8.6 y=10.5
Step-by-step explanation:
This is a question about trig identities, familiarize yourself with sin, cos, tanIn this problem, our value for degrees is 35 and our opposite side is 6ftOur variables to solve are x and y, x being the adjacent size and y being the hypothenusey has to be the longest size, it being the hypothenuse, so eliminate the first and last optionstan = opposite/adjacent so, tan(35)=6/x.solve this equation for x, yielding 8.6For y, using the fact that sin=opposite/hypothenusesubstitute and get the equation sin(35)=6/ysolve and get y =10.5x=8.6 and y= 10.5f(x)=Sin2x ,x0=pi:3
f(x)=3x-x^2 ,x0=-1
Please help and if someone has discord server to help solve math problema please give me invite
Answer:
For the first function, F(pi:3) = sin(2 * pi:3) = sin(6 * pi / 3) = sin(2 * pi) = 0.
For the second function, f(-1) = 3 * -1 - (-1)^2 = -3 + 1 = -2.
Step-by-step explanation:
It looks like you are trying to find the value of two different functions at specific points.
For the first function, F(x) = sin(2x) and x0 = pi:3, we want to find the value of F(x) when x = pi:3. Plugging this value into the function gives us F(pi:3) = sin(2 * pi:3) = sin(6 * pi / 3) = sin(2 * pi) = 0.
For the second function, f(x) = 3x - x^2 and x0 = -1, we want to find the value of f(x) when x = -1. Plugging this value into the function gives us f(-1) = 3 * -1 - (-1)^2 = -3 + 1 = -2.
need some help with this
The length of the missing side is 54.
What is Triangle?Triangle is a closed polygon consisting of three sides, three vertices and three angles.
Similar triangles are those triangle for which the ratio of corresponding sides is same without affecting the shape.
Given that ΔABC and ΔPQR are similar.
Let x be the side length of PR.
Ratio of their side lengths are equal.
AB : PQ = BC : QR = AC : PR
5 : 45 = 8 : 72 = 6 : x
Take the ratios 8 : 72 = 6 : x
⇒ 8 / 72 = 6 / x
Cross multiplying,
⇒ 8x = 72 × 6
⇒ 8x = 432
⇒ x = 432 / 8 = 54
Hence the side length missing is 54 units.
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The length of 1 board is 2feet and 10 inches, length of another board is 1yard 1foot 9inches. What is the total of the boards put together. Simplify answer
The total length of the two boards put together is 5ft 11in.
What is length?Length is a measure of distance. It is typically measured in units such as inches, feet, yards, miles, millimeters, centimeters, and meters. Length can also be measured in other units, such as the amount of time it takes to travel a certain distance. Length is an important concept in mathematics and is used in many different topics and applications.
To simplify this answer in feet, we can convert the 10 inches and 9 inches to feet, giving us a total of 5 feet. Therefore, the total length of the two boards put together is 5ft.
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Is the value of the first 7 ten times as great as the value of the second 7 in 7237
Answer:
no
Step-by-step explanation:
a sector of a circle of radius 10cm has an area of 25cm^2 find the angle at the centre of the circle ( take TT = 3.14) brainly
The angle at the center of the circle will be;
⇒ θ = 0.5 radian
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
A sector of a circle of radius 10 cm and has an area of 25 cm².
Now,
Since, We know that;
⇒ A = 1/2 r²θ
Where, A is area of circle , r is radius of circle and θ is the angle at the center of the circle.
Here, A sector of a circle of radius 10 cm and has an area of 25 cm².
Substitute all the given values, we get;
⇒ A = 1/2 r²θ
⇒ 25 = 1/2 × 10² × θ
⇒ 25 = 50 × θ
⇒ θ = 25 / 50
⇒ θ = 0.5 radian
Thus, The angle at the center of the circle = 0.5 radian
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Tell whether the angles are complementary or supplementary. Then find the value of x.
Answer:
Complementary
x = 15
Step-by-step explanation:
Given angles are complementary, because their sum is 90°.Now, let us find the value of x.-> 3x° + 45° = 90°-> 3x° = 90° - 45°-> 3x° = 45°-> x = 45/3-> x = 15Find the midpoint of the line segment with endpoints:
(9, -5/2) to (-5, -3/2)
Answer must be as a point, using integers or reduced fractions for coordinates.
Answer:
Step-by-step explanation:
Midpoint formula is x3 = (x1+x2)/2, y3=(y1+y2)/2
so x3=(9-5)/2=2, y3=(-5/2-3/2)/2=-2.
the coordinates is (2, -2).
What is 0.3172 rounded to the nearest tenth?
Answer:
0.3172 rounded to the nearest tenth would be 0.3.
This is because you would first look at the number in the tenths place which is 3.
Then you would look to the number to the right to determine if you would round up or down.
If the number in the hundredths place is bellow 5, the number would remain the same, and if it were above 5, it would round up by one number.
If the number were 5, you would look to the number in the thousandths place and then go from there.
Since the number in the hundredths place is 1, then you will ignore the other numbers to the right and, you would have a result of 0.3.
Step-by-step explanation:
Hope it helps! =D
Answer: 0.3171 rounded to the nearest tenth is 0.3.
Step-by-step explanation:
Follow these steps for rounding the decimal number 0.3171 to the nearest tenth (one decimal place):
Find the tenth digit, = 3 in the 0.3171.
Find the digit immediately to the right of the tenth place. If this number is greater than or equal to 5, round up; otherwise, round down.
= 1 in the 0.3171
Because 1 is less than 5, the tenth position digit 3 remains constant.
Remove all digits to the right of the rounding digit and rewrite the number.
As a result, 0.3171 rounded to the nearest tenth is 0.3.
A container with an open top is to have 10 m3 capacity and be
made of thin sheet metal. Calculate the dimensions of the box if it
is to use the minimum possible amount of metal.
The dimensions of the box if it is to use the minimum possible amount of metal are,
⇒ 2.714 m, 2.714 m, 1.358 m
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A container with an open top is to have 10 m³ capacity.
Now,
Let the dimensions are x, y and z.
Since, Volume of box = 10 m³
Hence, We get;
⇒ xyz = 10
⇒ z = 10/xy
Since, A container is open in top.
Hence, The surface area = 2xz + 2yz + xy
Substitute z = 10/xy;
⇒ S.A = 2x (10/xy) + 2y (10/xy) + xy
= 20/y + 20/x + xy
For minimum metal;
⇒ d (S.A)/ dx = 0
⇒ - 20/x² + y = 0
⇒ y = 20/x² ..(i)
And, d (S.A) / dy = 0
⇒ - 20/y² + x = 0
⇒ x = 20/y² ..(ii)
Divide equation (i) and ((ii);
⇒ x = y
Hence, We get;
⇒ xyz = 10
⇒ x³ = 10
⇒ x = 2.714
And, y = 2.714
So, The value of z is,
⇒ z = 10/xy
⇒ z = 10 / 2.714×2.714
⇒ z = 1.358 m
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Consider a situation in which P(A) = , P(C) = , and P(A and B) = . What is P(B and C)?
The probability of P(B and C) is 1/6
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty. It is more likely that an event will occur if its probability is higher.
For e.g., A straightforward illustration is tossing a fair (impartial) coin.
Given that, the probabilities, P(A) = 1/8, P(C) = 1/4, and P(A and B) = 1/12
P(A and B) = P(A)×P(B)
Therefore,
1/12 = 1/8 × P(B)
P(B) = 8/12 = 2/3
Now,
P(B and C) = P(C)×P(B)
P(B and C) = 1/4×2/3
P(B and C) = 1/6
Hence, P(B and C) = 1/6
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What is the slope of the line through (2, -1) and (-2, -3)?
what fraction of 3 kilograms is 50 grams
Answer:
50/30
5/0
1.6%
Step-by-step explanation:
Sevati's collection has 14 fewer magazines in it than Alita's collection. They have 50 magazines
collection? How many magazines are in Alita's collection?
Select the person with more magazines: Alita
Select a label for each bar. Drag the bar representing Sevati's magazines to the right to draw a model that represents the scenario.
Enter expressions to complete the model.
Alita's
magazines
Sevati's
magazines.
x-14
14
X
Enter the expression that represents the number of magazines in Alita's collection.
Enter the expression that represents the number of magazines in Sevati's collection. x-14
Enter an expression for the number of magazines they have together.
Enter the number of magazines in Sevati's collection.
How
-50
50
Sevati has 18 magazines in her collection. Sevati's collection of periodicals is represented by the phrase x - 7 = 25.
what is expression ?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Let's examine the writing of expressions. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases.
given
If x is the alita collection,
then sevati is equal to x - 14 + x = 50.
Sevati's collection of magazines is represented by the formula 2x - 14 = 50, hence the alita collection is equal to 2x = 36
x = 18
Sevati has 18 magazines in her collection. Sevati's collection of periodicals is represented by the phrase x - 7 = 25.
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Solve systems of equations by elimination -3x-3y=3 3x+6y=9
Answer: x = -5, y = 4
Step-by-step explanation:
Align the two equations according to their terms:
[tex]\left \{ {{-3x-3y = 3} \atop {3x+6y = 9}} \right.[/tex]
Add the two equations. Because -3x and 3x equals zero, they can be eliminated from the equation. This results in:
[tex]3y = 12\\y = 4[/tex]
Plug in y = 4 into the first equation:
[tex]-3x - 3(4) = 3\\[/tex]
Solve for x:
[tex]-3x-12 = 3\\-3x = 15\\x = -5[/tex]
Check by plugging in both x and y:
[tex]-3(-5) - 3(4) = 3\\15 - 12 = 3\\3 = 3[/tex]
So, x = -5 and y = 4
Round 0.12406667 to the nearest hundredth
Answer:
Step-by-step explanation:
0.124
Part A
A function f(x)=^3√x is transformed into the function g (x) = 2^3√x-4+5. Name and explain in
complete sentences the transformations that occurred to the parent cube root function.
Part B
How is the general shape of a cube root function different from the shape of a square root function? Use
complete sentences in your response.
Square root functions are in the shape of a parabola, like a giant U, while cube root functions are more wide and swiggly, like a stretched out S.
What is function?
Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
Here, given that,
we have to say that, How is the general shape of a cube root function different from the shape of a square root function.
Now, we get,
Square root functions are in the shape of a parabola, like a giant U, while cube root functions are more wide and swiggly, like a stretched out S.
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Which of the following best describes the difference in the results for the special products( A+B)^2 and ( A-B)^2
The difference between the expansions of (A + B)^2 and (A - B)^2 is the sign of the middle term. In the second case it is negative, due to the negative sign on B.
Which is the difference between the two expressions?Here we have two perfect square trinomials, these are:
(A + B)^2
(A - B)^2
Notice that the only difference between these is the sign of the second element.
Now we can expand these two expressions as:
(A + B)^2 = (A + B)*(A + B) = A^2 + 2AB + B^2
The second expression gives:
(A - B)^2 = (A - B)*(A - B) = A^2 + 2*A*(-B) + (-B)^2
= A^2 - 2AB + B^2
There we can see that the only difference between these two expansions is the sign of the middle term. Where in the second case it is negative, due to the negative sign on B.
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The guidelines for a wheelchair ramp suggest that the ratio of the rise to the run be no greater than 1 : 12
A. Which wheelchair ramps follow the guidelines
A. A ramp with a length of 30 feet and a height of 3 feet
B. A ramp with a length of 20 meters and a height of 0.5 meters
C. A ramp with a length of 384 inches and a height of 32 inches
D. A ramp with a length of 1 feet and a height of 12 feet
B. A wheelchair ramp provides access to a building with a front door that is 2.5 feet above the sidewalk. Which best describes the possible length(s) for the ramp that will follow the guidelines.
Let x represent the length (in feet) of the ramp
A. X < 30
B. X > 30
C. X ≥ 30
D. X ≤ 30
Answer:
Q1. Answer: According to the guidelines, the ratio of the rise (height) to the run (length) of a wheelchair ramp should be no greater than 1:12.
Option A: A ramp with a length of 30 feet and a height of 3 feet. The ratio of the rise to the run is 3/30 = 1/10, which is less than 1:12, so this ramp follows the guidelines.
Option B: A ramp with a length of 20 meters and a height of 0.5 meters. The ratio of the rise to the run is 0.5/20 = 1/40, which is less than 1:12, so this ramp follows the guidelines.
Option C: A ramp with a length of 384 inches and a height of 32 inches. The ratio of the rise to the run is 32/384 = 8/96 = 2/24, which is less than 1:12, so this ramp follows the guidelines.
Option D: A ramp with a length of 1 feet and a height of 12 feet. The ratio of the rise to the run is 12/1 = 12, which is not less than 1:12, so this ramp does not follow the guidelines.
Therefore, the ramps that follow the guidelines are options A, B, and C.
Q2. Answer: The guidelines for a wheelchair ramp suggest that the ratio of the rise (height) to the run (length) of the ramp should be no greater than 1:12. In this case, the rise is 2.5 feet and the run is the length of the ramp (x feet). The ratio of the rise to the run is 2.5/x.
To follow the guidelines, the ratio of the rise to the run should be no greater than 1:12, or 1/12. Therefore, the length of the ramp (x) should be greater than or equal to 2.5/1/12 = 30 feet.
Therefore, the correct answer is C: X ≥ 30.
Step-by-step explanation:
What is the vertex for the function g(x)?
Answer:
look below!
Step-by-step explanation:
To get the vertex for an equation your best bet is to convert the form into vertex form,which is y=a(x−h)+k . In vertex form (h,k) is the vertex
Lance Greene receives $2.20 per piece he
completes plus a 10% bonus for each piece he
completes over 180 pieces. Last week he
completed 210 pieces. Find his gross pay.
The gross price for the 210 pieces that Lance completed last week is $468.6.
What is percentage?Percentage is a measurement to find value of given number out of hundred.
Given that,
Amount received by Lance Greene for one piece = $2.20.
Also, Lance gets 10% bonus per piece after 180 pieces.
Given that, last week Lance completed 210 pieces .
Price for 210 piece = 210 x 2.20 = 462
Also, bonus gets by Lance on 30 pieces = 30 x 2.2 x 10/100 = 6.6
Total price = 462 + 6.6 = 468.6
The required gross price is $468.6.
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-5b + 35 = 85
Help pls
Answer:
-10
Step-by-step explanation:
-5b + 35 = 85
-5b = 50
-5b/-5 = 50/-5
b = -10
Answer:
B = -10
Step-by-step explanation:
-5b + 35 = 85
work is shown in picture
Select the correct answer. Which statement is true about this equation? 3(-y + 7) = 3(y + 5) + 6 A. The equation has one solution, y = 0. B. The equation has one solution, y = -1. C. The equation has no solution. D. The equation has infinitely many solutions.
the is answer is probably c
the answer makes sense
Find f(2) for the following quadratic.
• Write your answer as a number only.
Setting x=2 in the function is the simplest approach to discover f(2). However, you might plot the graph of f(x) and the vertical line x=2 to visually solve this.
How do you find f 2 on a parabola?Set x=2 in the function for the quickest and easiest method to discover f(2). Plotting the graph of f(x) and the vertical line x=2 would allow you to visually answer this problem. Next, the graphs' intersection will represent the answer. The "x" in "f (x)" is known as "the function's argument" or simply "the argument" in function notation.
As a result, if they ask for a "argument" and offer you the equation "f (2)," all you have to say is "2." Now (1) f(2)=2(2+1)=2×3=6.If our function's value is f(2), then we should calculate its value when x=2. Example. If x = 2, then f(2) = 2 + 7 = 9. F(x) = x + 7. GF(2), also known as the Galois field of two elements, or F2, the chemical formula for fluorine. F2 is a tornado intensity category on the Fujita scale.
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