Answer:
2,008,747,295,829,492
Step-by-step explanation:
2008747295829492= 1000 + 2008747295828492
In a function y= .08 + 5, y represents the cost of water per gallons and x represents the number of gallons. How much does the cost of water increase for every gallon? A. X B. .08 C. 5.00 D. 5.08
Answer:
B. 0.08
Explanation:
The general form of a linear equation is:
y = mx + c
where:
m is the slope or the rate of change (increase or decrease)
c is the y-intercept or the initial value
Therefore, in a linear equation, the slope simply gives us the rate of change of the function (increase/decrease)
Now, the given equation is:
y = 0.08x + 5
Comparing the given equation with the general form, we will find that:
m = 0.08
Therefore, the cost of water increase for every gallon (rate of change) is 0.08
Hope this helps :)
Which situation allows you to have the most saved?
A) Having a set amount set aside for savings each time you are paid
B) Having a set minimum or percentage for savings whichever is greater
C) Having a percentage set aside for savings
D) Having a percentage set aside for savings when your pay is higher and hours are more
Answer:
having a set minimum or percentage for savings; whichever is greater
Step-by-step explanation:
Most saved situation is,
A) Having a set amount set aside for savings each time you are paid.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
To find Most saved situation.
Now,, We know that;
When, having a set amount set aside for savings each time you are paid- this can be the most possible answer.
And, Technically a person should save 20% to 25% of his income and this amount increases with income.
So, each time when you are paid, set aside the savings amount.
Thus, Most saved situation is,
A) Having a set amount set aside for savings each time you are paid.
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What is the value of X
Answer:
B. 8
Step-by-step explanation:
The sum of all exterior angles of pentagon is equal to 360°. There are such exterior angles: 62°, 66°, 77°, 59°, (12x)°. Thus, the sum
[tex]62^{\circ}+66^{\circ}+77^{\circ}+59^{\circ}+(12x)^{\circ}=360^{\circ},\\ \\264^{\circ}+(12x)^{\circ}=360^{\circ},\\ \\(12x)^{\circ}=360^{\circ}-264^{\circ},\\ \\(12x)^{\circ}=96^{\circ},\\ \\x^{\circ}=8^{\circ}.[/tex]
Solve the system of equations.
- 3x + 2y = 56
- 5x - 2y = 24
X = ?
Y= ?
X=-10 and Y=13, look at the image attached to see the solution
Answer:
x = -10
y = 13
Step-by-step explanation:
- 3x + 2y = 56 ------ Equation 1
- 5x - 2y = 24 ------ Equation 2
Equation 1 + Equation 2.
-8x = 80
x = -10
Substitute x = - 10 into Equation 1.
-3(-10) + 2y = 56
30 + 2y = 56
2y = 26
y = 13
Which of the following is equal to 4.6?
A. 1.6+(3×4)−2÷2
B. 1.6+3×4−2÷2
C. [1.6+(3×4)]−(2÷2)
D. (1.6+3)×(4−2)÷2
Answer: D
Step-by-step explanation:
PEMDAS.
1.6+3=4.6
4.6x2 = 9.2
9.2/2 = 4.6
Answer:D
Step-by-step explanation:
Ivan has a right rectangular prism with a square base. The height of the prism is twice the length of the base.
Which shapes can be obtained as a horizontal or vertical slice through the prism? Select all that apply.
A. a rectangle
B. a triangle
C. a parallelogram (with no right angles)
D. a square
E. a pentagon
pls answer ASAP!!!
thank you!
a rectangle and a square
A rectangle & a square
Circular flower bed is 17 m in diameter and has a circular Samick around it is that to meters wide find the area of the sidewalk in square meters use 3.14 for pi
Answer:
26.69 square meters
Step-by-step explanation:
A=r(3.14)
A= 8.5(3.14)
A=26.69 meters
a regulat pentagon has side lenghts of 5.8cm and apothem of 4cm. calculate its perimeter and area
PENTA = 5.
a regular polygon has all equal sides, so if one side is 5.8, all are, so the perimeter for this pentagon with 5 sides is 5.8 + 5.8 + 5.8 + 5.8 + 5.8 = 29.
[tex]\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} p=perimeter\\ a=apothem\\ \cline{1-1} p=29\\ a=4 \end{cases}\implies A=\cfrac{1}{2}(4)(29)\implies A=58[/tex]
what is the cross section of a rectangular prism
Answer:
The cross section is just at the center of the rectangle. Sorry if I couldn't be of more help but good luck.
Step-by-step explanation:
Which number is irrational
Answer:
sqrt(17)
Step-by-step explanation:
sqrt(49) = 7 rational
.06060606 (repeating) = 2/33 rational
1/6 rational
sqrt(17) irrational
Given that (x,y)=(5,10), find r
ANSWER
[tex]r = 5 \sqrt{5 } [/tex]
EXPLANATION
Given that (x,y)=(5,10), we want to find r.
We use the relation:
[tex]r = \sqrt{ {x}^{2} + {y}^{2} } [/tex]
We substitute x=5 and y=10 into the formula to get,
[tex]r = \sqrt{ {5}^{2} + {10}^{2} } [/tex]
This implies that,
[tex]r = \sqrt{ 25+ 100 } [/tex]
[tex]r = \sqrt{125} [/tex]
[tex]r = 5 \sqrt{5 } [/tex]
What is the length of YZ
Answer:
D = 48
Step-by-step explanation:
because if AB is 24, YZ is the double, so YZ is 48
What is the domain of the function?
y= sqrt 5x-10
I don't know if this will help but I found this on YAHOO!
Answer: Domain of definition of a function is the set of numbers which the variable attains and for which the function is defined.
Step-by-step explanation:
f(x) = sqrt (5x-10)
Here x can have value equal to any real number >=2 because if x attains value less that 2, 5x-10 becomes negative and sqrt(5x-10) has no real value.
therefore the domain of the function f(x) is (2, infinity) inclusive of 2.
The domain of the above function is (2, ∞) .
What is a Domain ?Let y = f(x) be a function with an independent variable x and a dependent variable y.
If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.
For the given function [tex]y = \sqrt{5x-10[/tex]
The domain will be the value that satisfies the function and produces a value of y
For any value less than 2 , the value of v will be an imaginary number .
As the square root of a negative number will be an imaginary number.
Therefore (2, ∞) is the domain of the above function.
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1. To calculate the height of a tree,
Marie measures the angle of elevation
from a point A to be 34º. She then
walks 10 feet directly toward the tree,
and finds the angle of elevation from
the new point B to be 41°. What is the
height of the tree?
Answer:
h ≈ 30.10 ft
Step-by-step explanation:
Marie measures the angle of elevation from a point A to a tree as 34° . She works 10 ft directly towards the tree and discovered the new angle of elevation is 41°. The height of the tree can be computed below.
let
a = distance from point B to the tree
h = height of the tree
The right angle triangle formed from point B, we can use tan to find the height of the tree.
tan 41° = opposite /adjacent
tan 41° = h/a
cross multiply
h = a tan 41°
The right angle formed from point A
tan 34° = opposite/adjacent
tan 34° = h/(a + 10)
(a + 10)tan 34° = h
Therefore,
a tan 41° = (a + 10)tan 34°
0.8692867378
a = 0.6745085168(a + 10)
0.8692867378a = 0.6745085168a + 6.7450851684
collect like terms
0.8692867378a - 0.6745085168a = 6.7450851684
0.194778221a = 6.7450851684
a = 6.7450851684/0.194778221
a = 34. 629565532 ft
height of the tree can be find with
h = a tan 41°
h = 34. 629565532 × 0.8692867378
h = 30.103022053 ft
h = 30.10 ft
need help asap!!!
The probability of winning a game is 75%. How many times should you expect to win if you play 60 times?
(A)15
(B)45
(C)5
(C)30
Answer:
B.) 45
Step-by-step explanation:
All that is needed to solve this problem is .75*60. Whenever there is a percentage, , just move the decimal place up two :).
9. Which of the following is the representation of a decimal number? A. 1/2 B. 23 C. 33/10 D. .25
Answer:
B because there is a dot in front of the 25 which is also known as a decimal point.
For this case we have that by definition, a decimal number is a number that is composed of a whole part, which can be zero, and by another lower than the unit, separated from the whole part by a point.
Examples:
0.05
1.76
According to the options given, we have:
A. [tex]\frac {1} {2},[/tex] it is a fraction
B. 23, is a whole number
C.[tex]\frac {33} {10}[/tex], it is a fraction
D. 0.25, is a decimal number.
Answer:
Option D
Which of the following reasons completes the proof in line 2?
A.) Definition of parallelogram.
B.)If both pairs of opposite sides are =, then a parallelogram.
C.) All quadrilaterals are parallelograms.
Answer:
B: If both pairs of opposite sides are =, then a parallelogram.
Step-by-step explanation:
If was right on my assignment
Quadrilateral ABCD is a rhombus and parallelogram.
What is a rhombus?A parallelogram is a particular instance of a rhombus. The opposing sides and angles in a rhombus are parallel and equal. A rhombus also has equal-length sides on each side, and its diagonals meet at right angles to form its shape. The rhombus is also referred to as a diamond or rhombus.
Given, in a quadrilateral ABCD,
AB= BC = CD = DA
Since A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, while a quadrilateral with equal sides is known as a rhombus.
A Quadrilateral is a Parallelogram, if any of this is possible in a Quadrilateral
One Pair of Opposite Sides are equal and Parallel.Opposite sides are equal.Diagonals Bisect each other.One Pair of Opposite sides are parallel and Opposite angles are equal.Opposite sides are Parallel.Definition of a parallelogram.
All quadrilaterals are parallelograms.
If both pairs of opposite sides are equal.
Therefore, Quadrilateral ABCD is a rhombus and parallelogram.
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Which type of sequence is represented by the given table?
x
1
2
3
4
y
4
-9.6
23.04
-55.296
A.
The table represents a geometric sequence because the successive y-values have a common ratio of -2.4.
B.
The table represents an arithmetic sequence because the successive y-values have a common difference of -17.
C.
The table represents a geometric sequence because the successive y-values have a common ratio of 0.4.
D.
The table represents an arithmetic sequence because the successive y-values have a common difference of 4.2.
Answer:
A.
The table represents a geometric sequence because the successive y-values have a common ratio of -2.4.
Step-by-step explanation:
A geometric sequence, with a first term a and common ratio r, is generally represented as;
[tex]a,ar,ar^{2},ar^{3},ar^{4},............ar^{n}[/tex]
The first term refers to the first number that appears in the sequence. The common ratio is the constant that multiplies a preceding value to obtain the successive one. That is, to obtain [tex]ar^{2}[/tex] from [tex]ar[/tex] we multiply [tex]ar[/tex] by the common ratio r.
In the table given the y-values are as follows;
4, -9.6, 23.04, -55.296
To obtain the common ratio we simply divide each value by the preceding one;
(-9.6)/4 = -2.4
23.04/(-9.6) = -2.4
(-55.296)/23.04 = -2.4
Since the sequence of numbers has a common ratio then it qualifies to be a geometric sequence. Thus, the table represents a geometric sequence because the successive y-values have a common ratio of -2.4.
Answer:
The table represents a geometric sequence because the successive y-values have a common ratio of -2.4
Find the surface area of the composite solid. Round the answer to the nearest hundredth
Answer:
135.39
Step-by-step explanation:
The solid consist of 4 triangles and a 5 rectangles.
Formula to calculate area of triangle is
1/2 (height) (base)
Formula to calculate area of rectangle is
length x width
so
Total surface area of the composite solid is
2( 4(4) + 6(4) + 1/2(√13)(4) + 1/2(2√2)(6) ) + 6(4)
111.39 + 24
135.39
Answer:
Total area = 135 .39 square yard
Step-by-step explanation:
Given : composite figure.
To find : Find the surface area of the composite solid. Round the answer to the nearest hundredth.
Solution : We have given a composite figure with rectangle base and four triangles .
Base of two triangle = 4 yd .
Height of two triangle = √13 yd .
Base of other two triangle = 6 yd .
Height of other two triangle = 2√2 yd .
Area of rectangle = length * width .
Area of rectangle = 6 *4
Area of rectangle = 24 square yard .
Area of all rectangle = 3 *24 = 72 square yard
Area of two square = 2( 4*4) = 32 square yard.
Area of triangle = [tex]\frac{1}{2} base * height[/tex].
Area of triangle= [tex]\frac{1}{2} 4 *√13 [/tex].
Area of triangle = 2√13 .
Area of two triangle = 2 * 2√13 .
Area of two triangle = 4√13 square yard.
Area of other triangle = [tex]\frac{1}{2} 6 * 2√2 [/tex].
Area of other triangle = 3* 2√2
Area of other triangle = 6√2.
Area of other two triangle = 2 *6√2.
Area of other two triangle = 12√2 square yard.
Total area = Area of 3 rectangle + Area of two triangle + Area of other two triangle + area of square
Total area = 72 + 4√13 + 12√2 + 32
Total area = 135 .39 square yard.
Therefore, Total area = 135 .39 square yard.
The circle below is centered at the point (5,3) and has a radius of length 4. What is it’s equation
[tex] {x}^{2} + {y}^{2} - 10x - 6y + 18 = 0[/tex]
Answer:
[tex](x-5)^2 + (y-3)^2= 16[/tex] is the equation of a circle
Step-by-step explanation:
The circle below is centered at the point (5,3) and has a radius of length 4
To find the center form of equation, we use formula
[tex](x-h)^2 + (y-k)^2= r^2[/tex]
where (h,k) is the center and 'r' is the radius of the circle
given center is (5,3)
h=5 and k =3
radius r= 4, plug in all the values in the equation
[tex](x-h)^2 + (y-k)^2= r^2[/tex]
[tex](x-5)^2 + (y-3)^2= 4^2[/tex]
[tex](x-5)^2 + (y-3)^2= 16[/tex] is the equation of a circle
Two polygons are similar. The perimeter of the smaller polygon is 48 centimeters and the ratio of the corresponding side lengths is 2/3 . Find the perimeter of the other polygon.
Answer:
= 72 cm
Step-by-step explanation:
The ratio of lengths of two similar figures is called the linear scale factor.
In this case, the linear scale factor is 2/3
The linear scale factor is also equivalent to the ratio of the perimeter of two similar figures.
Therefore, 2/3 = 48/x
x = 48 × 3/2
= 72 cm
The perimeter of the other polygon is 72 cm
Answer:
72 cm
Step-by-step explanation:
Given in the question, there are two similar polygons and the ratio of the corresponding side lengths is 2/3.
Perimeter of the smaller polygon = 48 cm
let perimeter of the larger polygon = x cm
We know that if two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths.
So,
Perimeter of smaller polygon / Perimeter of larger polygon = 2 / 3
48 / x = 2 / 3
48(3) = 2(x)
144 = 2x
x = 72 cm
which of the following statements is true about the question ?
Answer:
second one :p
Second one I think ;-;
Find the area of each circle, both in terms of pi and to the nearest tenth. use 3.14 for pi
Circle with radius 9 in.
Answer: 254.47
Step-by-step explanation: A=3.14*r to the power of two=3.14*9 squared=254.47
3.14*9^2=254.34 this would be the answer
Solve by using the square root property. Write your answer in simplest radical form.
Answer: X = t or minus 4 square root 3 and X= 4 square root 3 Explanation: add 48 on both sides bring down x squared = 48 take the square root on both sides you get X= t or - 4 square root 3 and X=4 square root 3) Animex yw
Answer:
x = ±4√3
Step-by-step explanation:
Given: x² = 48, find x. Note that we must take the square root of both sides, and that there are 2 roots (solutions) because this is a second order equation.
√x² = ±√48
48 is not a perfect square, but it does factor into 16 (a perfect square) and 3 (not a perfect square).
Thus, x = ±4√3 (the last answer choice)
Find the volume of the cylinder. 30 POINTS :0!!
Formula: V = PI x r^2 x H
Volume = 3.14 x 4^2 x 10
Volume = 3.14 x 16 x 10
Volume = 3.14 x 160
Volume = 160π or 502.4 units^3
To find the volume of a cylinder, we use the formula represented below.
Volume = [tex]\pi[/tex][tex]r^{2}[/tex]h
Notice that our cylinder has a radius of 4 and a height of 16, so we can plug these numbers into our formula.
Image provided.
What is the measure of secant DE?
Answer:
[tex]ED=32\ units[/tex]
Step-by-step explanation:
we know that
Applying the Intersecting Secant Theorem
[tex]AC*BC=EC*DC[/tex]
substitute the values
[tex](16+5)*(5)=(ED+3)*(3)[/tex]
Solve for ED
[tex](21)*(5)=(ED+3)*(3)[/tex]
[tex]35=(ED+3)[/tex]
[tex]ED=35-3=32\ units[/tex]
I need help with this USA TEST PREP question
Answer:
The Answer is C
Step-by-step explanation:
The volume of the cylinder increases by a factor of 25 when the radius is increased by a factor of 5.
The volume of a cylinder is given by the formula:
Volume = π * (radius^2) * height
If the radius is increased by a factor of 5, the new radius is 5 times the original radius. Let's call the original radius "r" and the new radius "5r." The height remains the same.
Now, let's calculate the new volume with the increased radius:
New Volume = π * (5r)^2 * height
New Volume = π * 25r^2 * height
To find the effect on the volume, we can compare the new volume to the original volume:
Effect on Volume = (New Volume) / (Original Volume)
Effect on Volume = (π * 25r^2 * height) / (π * r^2 * height)
The π, height, and r^2 terms cancel out:
Effect on Volume = (25r^2) / (r^2)
Effect on Volume = 25
So, the volume of the cylinder increases by a factor of 25 when the radius is increased by a factor of 5.
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Jefferson High School is looking to expand its student parking lot by expanding the existing lot as
shown below.
(Picture Attached)
The size of the new parking lot will be twice the size of the old parking lot. How many feet, x, was the
old parking lot expanded by?
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This was already answered.
Answer:
The value of x is 60 ft.
Step-by-step explanation:
The area of a rectangle is
[tex]A=length \times width[/tex]
The area of school is
[tex]A=165\times 300=49500[/tex]
The area of old lot with school is
[tex]A=(165+75)(300+75)=90000[/tex]
The area of old lot without school is
[tex]A_1=90000-49500=40500[/tex]
The area of new lot with school is
[tex]A=(165+75+x)(300+75+x)=x^2 + 615 x + 90000[/tex]
The area of old lot without school is
[tex]A_2=x^2 + 615 x + 90000-49500=x^2 + 615 x + 40500[/tex]
It is given that the area of new parking lot will be twice the size of the old parking lot.
[tex]2A_1=A_2[/tex]
[tex]2(40500)=x^2 + 615 x + 40500[/tex]
[tex]0=x^2 + 615 x -40500[/tex]
[tex]0 = (x - 60) (x + 675)[/tex]
[tex]x=60,-675[/tex]
The value of x can not be negative. Therefore the value of x is 60 ft.
what is the inverse of y=cos(x-pi/2)
Answer:
[tex]f^{-1}(x)=\cos^{-1} x+\frac{\pi}{2}[/tex]
Step-by-step explanation:
The given function is
[tex]y=\cos(x-\frac{\pi}{2})[/tex]
To find the inverse of this function, we interchange x and y.
[tex]x=\cos(y-\frac{\pi}{2})[/tex]
Take the inverse cosine of both sides to obtain;
[tex]\cos^{-1} x=y-\frac{\pi}{2}[/tex]
[tex]\cos^{-1} x+\frac{\pi}{2}=y[/tex]
Therefore the inverse of the given cosine function is;
[tex]f^{-1}(x)=\cos^{-1} x+\frac{\pi}{2}[/tex] where [tex]-1\le x\le 1[/tex]
Answer:
the answer is B
y=tanx- pie/2
A standard six-sided number cube is rolled. What is tge probability a 3 or a 5 will land face up?
Answer:
It's 1/3
Step-by-step explanation:
6 possible outcomes, 2 desired.
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
There are 6 different possible numbers the cube can land on. Because it is a standard cube, all of the sides will have equal probability of getting landed on. 3 and 5 make up 2 out of 6 possibilities hence a probability of
[tex]\frac{2}{6}[/tex]
or
[tex]\frac{1}{3}[/tex]