option D is the answer.!!!!
Answer:
324π units² (Answer D)Step-by-step explanation:
The formula for the area of a circle of radius r is A = πr².
Here, the area is A = π(18 units)² = 324π units² (Answer D)
In the commutative property, order does not matter. However, this is not true when it comes to__ & __problems where order does matter.
In the commutative property, order does not matter for addition and multiplication. However, this is not true when it comes to subtraction and division problems, where order does matter.
The commutative property states that:
a + b = b + a (addition)
a × b = b × a (multiplication)
However, this does not apply to:
a - b ≠ b - a (subtraction)
a ÷ b ≠ b ÷ a (division)
In subtraction and division, the order of the operands matters, and changing the order can result in different values.
x1 + 2x2 − x3 = −4 x1 + 2x2 + x3 = 2 −x1 − x2 + 2x3 = 6
Answer:
what are your choices
Step-by-step explanation:
Answer:
1
-1
3
Step-by-step explanation:
on edg
A function is in the form g(X) = ax^2 + d. If a is greater than 1 and d is negative, which could be the graph of g(x)?
Answer:
Option B
Step-by-step explanation:
Step-by-step explanation:
We have the function [tex]g(x)=ax^2 +d[/tex] then, by definition:
If [tex]0 <a <1[/tex] then the graph is compressed vertically by a factor a.
If [tex]|a| > 1[/tex] then the graph is stretched vertically by a factor a
If [tex]a <0[/tex] then the graph is reflected on the x axis.
If [tex]d> 0[/tex] the graph moves vertically upwards d units.
If [tex]d <0[/tex] the graph moves vertically down d units.
We know that:
[tex]a > 1[/tex] then the graph is stretched vertically by a factor a
and
[tex]d <0[/tex] the graph moves vertically down d units
The searched graph is stretched vertically and its vertex is displaced downwards
The answer is option B
The net of a three-dimensional figure is made using 1 rectangle and a number of triangles. What is the three-dimensional figure? a rectangular prism a rectangular pyramid a triangular prism a triangular pyramid
Answer:
See below.
Step-by-step explanation:
That would be a rectangular pyramid. The net would consist of a rectangle and 4 triangles
The three-dimensional figure is:
Rectangular Pyramid.
Step-by-step explanation:Net of a three dimensional figure--
A net of a three dimensional figure is the pattern which is made with the help of all the faces of a solid.
The net is used to identify the three dimensional solid it will form.
Here, the net is 1 rectangle and a number of triangles.
a)
rectangular prism
The net of this solid are made by using six rectangles.
Hence, option (a) is incorrect.
b)
Rectangular Pyramid--
It is a three dimensional figure which is formed by taking a rectangle as a base and 4 triangles as it's other faces.
Hence, the net of this solid is made using 1 rectangle and a number of triangles.
c)
Triangular prism--
It has three faces as parallelogram and 2 as triangles.
Hence, option: c is incorrect.
d)
Triangular Pyramid--
A triangular pyramid also known as a tetrahedron is a three dimensional figure which is composed of four triangles.
Hence, option: d is incorrect.
Pls pls pls help me on this math! Will mark brainliest
Answer:
The volume of the prism is [tex]16.65\ in^{3}[/tex]
Step-by-step explanation:
we know that
The volume of the triangular prism is equal to
[tex]V=BH[/tex]
where
B is the area of the triangular base
H is the height of the prism
Remember that
In a right triangle 45°-45°-90°
The measures of the legs are equal
The area B is equal to
[tex]B=\frac{1}{2}(3)(3)=4.5\ in^{2}[/tex]
[tex]H=3.7\ in[/tex]
substitute in the formula
[tex]V=(4.5)(3.7)=16.65\ in^{3}[/tex]
Answer:
16.65
Step-by-step explanation:
If the height of a cylinder is tripled, but the area of the base stays the same, what happens to the volume?
Answer:
The volume would double.
Here is an example:
The formula for the volume of a cylinder is:
V = (area of the base) x height
Now, let's plug in numbers to see what happens to the volume:
Let's say that cylinder 1 has a base area of 6 and a height of 10. Cylinder 2 would have a base area of 6 and a height of 20.
Let's plug in the values:
V1 = 6x10 = 60
V2 = 6x20 = 120
the volume doubles.
hope this helps :)
Answer:
The volume triples...
Step-by-step explanation:
What is the perimeter of a regular 9-sided polygon with side lengths of 5 feet? 9 feet 14 feet 45 feet 18 feet
45 feet
9 sides * 5 for each side =45
Answer:
C. 45. feet
Step-by-step explanation:
Step 1.) 9 * 5 = 45
Final Answer:
C.) 45. feet
Extra:
Please give brainlest!
Have a good day,
johannelbekian
sophie makes necklaces by stringing different color beads each necklaces is 15 inches long sophie has 66 inch length of bead string how many necklaces can she make
(I think) you just divide the length of the bead string the the inches of the beads
(Which equals 4.4 so when simplified is 4)
What are the r- values of the following data to three decimal places?
A. 0.811
B. 0.901
C. -0.811
D. -0.901
Answer:
Option D. -0.901
Step-by-step explanation:
we know that
The correlation coefficient r measures the strength and direction of a linear relationship between two variables. The value of r is always between +1 and –1
Using a Excel tool (Correl function)
The value of coefficient r is -0.9006876
Round to three decimal places
r=-0.901
see the table attached
There are 12 face cards in a deck of standard playing cards and 20 even numbered cards. if you draw one card and look at it. then replace it and then draw another card. what is the probability that you would draw a face card and then an even numbered card?
Answer:
[tex]\dfrac{9}{64}[/tex]
Step-by-step explanation:
There are 12 face cards in a deck of standard playing cards and 20 even numbered cards, in total 32 cards.
1. The probabilty that the first drawn card is face card is
[tex]p_1=\dfrac{12}{32}=\dfrac{3}{8}.[/tex]
2. The probabilty that the second drawn card is an even numbered card (even numbered cards are 6, 8, 10 - 12 in total, odd numbered cards are 7, 9 - 8 in total) is
[tex]p_2=\dfrac{12}{32}=\dfrac{3}{8}.[/tex]
3. The probability that the first drawn card is a face card and the second drawn card is an even numbered card is
[tex]p_1\cdot p_2=\dfrac{3}{8}\cdot \dfrac{3}{8}=\dfrac{9}{64}.[/tex]
for each ordered pair, determine whether it is a solution to the system of equations.
7x - 4y = 8
y = -9x - 2
(0,-2) is it a solution ?
(5,3) is it a solution ?
(-2,16) is it a solution ?
(-4,-9) is it a solution ?
Answer:
If the question is asking for a solution for both, then only point (0,2)
Point (0,2) is a solution to both equations
Point (5,3) is a solution to neither (meaning not any of the equations)
Point (-2, 16) is not a solution to the first equation, but is to the second
Point (-4, -9) is a solution to the first, but not to the second.
Step-by-step explanation:
Using the Property of substitution. 7x-4y=8
(0,-2)
7(0)-4(-2)=8
7(0)=0
-4(-2)=8
0+8=8
This solution is true.
(5,3)
7(5)-4(3)=8
7(5)=35
-4(3)=-12
35-12=23 (not 8)
This solution is not true.
(-2,16)
7(-2)-4(16)=8
-14-64=-78 (not 8)
This solution is not true.
(-4,-9)
7(-4)-4(-9)=8
-28+36=8
This solution is true
__________________________________________________________
Y=-9x-2
(0,-2)
-2=-9(0)-2
-9(0)=0-2=-2
-2=-2
This solution is true
(5,3)
3=-9(5)-2
-45-2=-47
3=-47
This solution is not true
(-2,16)
16=-9(-2)-2
16=18-2
16=16
This solution is true.
(-4,-9)
-9=-9(-4)-2
-9=36-2
-9=34
This solution is not true.
Final answer:
By substituting the x and y values from each ordered pair into the two given equations, we can determine whether the ordered pairs (0,-2), (5,3), (-2,16), and (-4,-9) are solutions. An ordered pair is a solution if it satisfies both equations of the system.
Explanation:
To determine whether each ordered pair is a solution to the system of equations:
7x - 4y = 8
y = -9x - 2
We will substitute the x and y values from each ordered pair into both equations.
For the ordered pair (0,-2), substitute x = 0 and y = -2:
7(0) - 4(-2) = 8 satisfies the first equation, and -2 = -9(0) - 2 satisfies the second equation, so (0,-2) is a solution.
Repeating this process for the other ordered pairs, (5,3), (-2,16), and (-4,-9), will reveal whether they satisfy both equations.
If both equations are satisfied by a particular ordered pair, then that ordered pair is a solution to the system of equations.
At the beginning of year 1, Bode invests $250 at an annual simple interest rate of 3%. He makes no deposits to or withdrawals from the account.Which explicit formula can be used to find the account’s balance at the beginning of year 14? What is the balance?
A.A(n) = (250)(n – 1)(0.03); $97.50 B.A(n) = 250 + (n)(0.03 • 250); $355.00 C.A(n) = 250 + (n – 1)(0.03); $250.39 D.A(n) = 250 + (n – 1)(0.03 • 250); $347.50
Answer:
D.A(n) = 250 + (n – 1)(0.03 • 250); $347.50
Step-by-step explanation:
we know that
The simple interest formula is equal to
[tex]A=P(1+rt)[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
[tex]t=(14-1)=13\ years\\ P=\$250\\r=0.03[/tex]
substitute in the formula above
[tex]A=\$250(1+0.03*13)[/tex]
[tex]A=\$250(1.39)=\$347.50[/tex]
A playground has two sides that each measure 70 feet and two sides that each measure 50 feet. Name the quadrilaterals that describe the shape of a playground with these dimensions. Select all that apply. A.Parallelogram B.Square C.Rectangle D.Kite E.Trapezoid
Answer:
The possible shapes of the playground should be: parallelogram, rectangle, and kite because all of these shapes have 2 pairs of equal sides, and also the question didn't specify if the sides are opposite to each other or not so kite is also a possible option.
The quadrilaterals that describe the shape of a playground with these dimensions will be Rectangle.
What is a rectangle?A rectangle is a quadrilateral with four sides and the two opposite sides are equal and parallel the two sides are also perpendicular to each other.
It is given in the question that a playground has two sides that each measure 70 feet and two sides that each measure 50 feet.
So it is clear that the two sides are equal and parallel to the shape of the playground will be rectangular.
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Three vertices of a rectangle are located at (1,4),(1,2), and (5,2).What are the coordinates of the fourth vertex of the rectangle.
It’ll be (5,4) because it’s on the same Y line (aka 4) just like (1,2) and (5,2).
The coordinates of the fourth vertex of the rectangle are (5, 4).
What is a rectangle?A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.
Given that, three vertices of a rectangle are located at (1,4), (1,2), and (5,2).
The intersection point of diagonals of rectangle is midpoint of each diagonal.
Let the fourth coordinate be (x, y). By the above property we get
Now, the midpoint of (1, 4) and (5, 2) is
[(1+5)/2, (4+2)/2] =(3, 3)
Thus, (3, 3) =[(x+1)/2, (y+2)/2]
3=(x+1)/2, 3=(y+2)/2
6=x+1, 6=y+2
x=5, y=4
Therefore, the coordinates of the fourth vertex of the rectangle are (5, 4).
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A bag has red, green, and blue marbles. The probability of selecting a red marble is 1/3 and the probability of selecting a green marble is 2/5, what is the probablility of selecting a blue marble
Answer:
4/15
Step-by-step explanation:
There are red, green and blue marbles in the bag. The total of all the probabilities of selecting red, green and blue marbles is 1.00, or just 1.
So, to find the probability of selecting a blue marble, we add together 1/3 and 2/5 and subtract the total from 1:
1 - (1/3 + 2/5)
or:
1 - (5/15 + 6/15)
or:
1 - 11/15, or 4/15 (answer)
Final answer:
The probability of selecting a blue marble from the bag, given that reds have a probability of 1/3 and greens 2/5, is 4/15.
Explanation:
To find the probability of selecting a blue marble, you need to subtract the probability of selecting either a red or a green marble from 1, since the total probability must equal 1.
You are given that the probability of selecting a red marble is 1/3, and the probability of selecting a green marble is 2/5. To find the probability of selecting a blue marble, you can use the formula:
Probability of blue marble = 1 - (Probability of red marble + Probability of green marble).
Substituting the given probabilities, we get:
Probability of blue marble = 1 - (1/3 + 2/5)
Firstly, find a common denominator for the fractions, which is 15.
Probability of blue marble = 1 - (5/15 + 6/15)
Probability of blue marble = 1 - 11/15
Probability of blue marble = 15/15 - 11/15
Probability of blue marble = 4/15. Hence, the probability of selecting a blue marble is 4/15.
10 points! ASAP ALGEBRA II
Let f(x) = x^2-3x. For what values of x is f(f(x)) = f(x)? Enter all the solutions, separated by commas.
Answer:
-1, 0, 3, 4.
Step-by-step explanation:
f(x) = x^2 - 3x
f(f(x)) = (x^2 - 3x)^2 - 3(x^2 - 3x) (Replacing the x in f(x) by x^2 - 3x).
when f(f(x) = f(x):
(x^2 - 3x)^2 - 3(x^2 - 3x) = x^2 - 3x
(x^2 - 3x)^2 - 4(x^2 - 3x) = 0
Let y = x^2 - 3x, then
y^2 - 4y = 0
y(y - 4) = 0
y = 0, 4
when x^2 - 3x = 0, x = 0 , 3.
when x^2 - 3x = 4
x^2 - 3x - 4 = 0
(x + 1)(x - 4) = 0
x = -1, 4.
What are the solutions of the equation x4 + 3x2 + 2 = 0? Use u substitution to solve.
ANSWER
[tex]x = \: x = \pm \: \sqrt{2} i \: or \: x = \pm \: i[/tex]
EXPLANATION
[tex] {x}^{4} + 3 {x}^{2} + 2 = 0[/tex]
[tex]{ ({x}^{2}) }^{2} + 3( {x}^{2}) + 2 = 0[/tex]
Let
[tex]u = {x}^{2} [/tex]
Then the equation becomes:
[tex] {u}^{2} + 3u + 2 = 0[/tex]
[tex] {u}^{2} + 3u + 2 = 0[/tex]
[tex] {u}^{2} + 2u +u + 2 = 0[/tex]
Factor:
[tex]{u}(u + 2)+ 1(u + 2) = 0[/tex]
[tex](u + 1)(u + 2) = 0[/tex]
[tex]u = - 1[/tex]
or
[tex]u = - 2[/tex]
This implies that
[tex] {x}^{2} = - 1 \implies \: x = \pm \: i[/tex]
or
[tex] {x}^{2} = - 2 \implies \: x = \pm \: \sqrt{2} i[/tex]
If KLMN is a square, then ___________________.
A. it must be a rhombus
B. it might be a rhombus
C. it cannot be a rhombus
-Hello There-
A square is always a rhombus because it satisfies all the properties of rhombus but every rhombus cannot a square.
Therefore, If KLMN is a square, then it must be a rhombus.
Have A Fantastic Day
Be Safe,
TheBlueFox
Answer:
It must be a rhombus
Step-by-step explanation:
John got 20% discount at a sale .He got a new shirt for $12 .What is the original price of the shirt ?
The original price of the shirt must be $15 if a 20% discount resulted in the final price becoming $12
The original price of the shirt is $15.
What is Discount?Discount refers to the condition of the price of a bond that is lower than the face value. The discount equals the difference between the price paid for and it’s par value.
Discount is a kind of reduction or deduction in the cost price of a product. It is mostly used in consumer transactions, where people are provided with discounts on various products. The discount rate is given in percentage.
Discount = Original price - Buying Price
Given,
Buying price of the shirt john bought = $12
Discount on shirt John bought = 20% of the original price
Let, the original price be x
then,
discount = 20% of x = 20x/100
Discount = Original price - Buying Price
20x/100 = x - $12
x = $12 + 20x/100
x = ($1200 + 20x)/100
100x = $1200 + 20x
80x =$1200
x = $1200/80
x = $15
Hence, the shirt cost $15 originally.
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Which function best fits the following points?
A. Exponential
B. Quadratic
C. Linear
D. None of the above
Answer:
Option B. Quadratic
Step-by-step explanation:
In a regression model, the value of [tex]r ^ 2[/tex] tells us how accurately the model fits the data.
That closer the value of [tex]r ^ 2[/tex] of 1 is, better is the model.
This can be used to compare what type of model is most convenient to use in some cases.
In this problem the attached table shows a comparison of the value of [tex]r ^ 2[/tex] for 3 models
Linear
Quadratic
Exponential
Note that the value of [tex]r ^ 2[/tex] that is closest to 1 is that which corresponds to the quadratic model.
[tex]r ^ 2 = 0.89[/tex]
Therefore the function that best fits the points is the quadratic
What is the value of x in this equation?
-4x+8 = 42
Use the bubbles in the answer section to mark your answer.
Answer:
x = -17/2 or -8.5
Step-by-step explanation:
-4x+8 = 42
Subtract 8 from each side
-4x+8-8 = 42-8
-4x = 34
Divide each side by -4
-4x/-4 = 34/-3
x = -17/2
x = -8.5
What is the root of the polynomial equation x(x-2)(x+3)=18
Answer:
The root of the polynomial is 3
Step-by-step explanation:
To find the root of the polynomial x(x-2)(x+3)=18
We can use a graphing utility and the system of equations.
We can have the equations;
y = x(x-2)(x+3) ......(i)
Therefore, from the initial equation;
y = 18 ..................... (ii)
We can then plot the graph using the equations, and the x-coordinate of the point of intersection will be the root of the equation.
From the graph, the x-coordinate is 3, since the intersection point is (3,18).
Therefore; the root of the equation is 3.
Someone please help??
Answer:
Im not 100% sure but i can tell you it is (D)
Step-by-step explanation:
A and b are two similar 2D shapes. The area of shape awhich is 12cm is 200cm squared. Calculate the area of shape b which is 15cm
Answer: Area of shape which is 15 cm is 312.5 square cm.
Step-by-step explanation:
Since we have given that
Area of shape of 12 cm = 200 sq. cm
We need to find the area of shape of 15 cm.
As we know the "Area similarity theorem" which states that ratio of areas of two similar shapes is equal to the square of ratio of corresponding sides.
So, it becomes,
[tex]\dfrac{12^2}{15^2}=\dfrac{200}{x}\\\\\dfrac{144}{225}=\dfrac{200}{x}\\\\144x=200\times 225\\\\144x=45000\\\\x=\dfrac{45000}{144}\\\\x=312.5\ cm^2[/tex]
So, Area of shape which is 15 cm is 312.5 square cm.
The area of shape B which is of 15 [tex]\text{cm}[/tex], is 312.5 [tex]\text{cm}^2[/tex].
Given information:
The two shapes A and B are given
The dimensions of shape A is 12 [tex]\text{cm}[/tex]
The area of the shape A is 200 [tex]\text{cm}^2[/tex]
Now, we need to calculate the area of the shape of 15 [tex]\text{cm}[/tex]
As we know that area will be square of the given values in the question.
So, according to the question:
[tex]\frac{A^2}{B^2} =\frac{200}{x}[/tex]
[tex]\frac{12^2}{15^2} =\frac{200}{x}\\\\\frac{144}{225}=\frac{200}{x} \\\\x=(200\times 225)/144\\\\x=312.5 \text{cm}^2[/tex]
Hence, the area of shape B which is of 15 cm, is 312.5 [tex]\text{cm}^2[/tex].
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a right triangle has one side that measures 4 in. the angle opposite that side measures 80° what is the length og the hypotenuse if the triangle? round to the nearest tenth.
Answer:
The length of the hypotenuse is 4.1 in
Step-by-step explanation:
we know that
In the right triangle of the problem
The function sine of angle of 80 degrees is equal to divide the opposite side to the angle of 80 degrees (4 in) by the hypotenuse
Let
x ----> the hypotenuse
so
sin(80°)=4/x
isolate the variable x
x=4/sin(80°)
x=4.1 in
Answer:
B: 4.1 in.
Step-by-Step Explanation:
on edge! hope this helps!!~ （=´∇｀=）
(2X-3)(3X+4)
I NEED HELP ON THIS ANSWER PLEASEE
Answer:
6X^2 -X -12
Step-by-step explanation:
(2X-3)(3X+4)
FOIL
first 2X*3X = 6X^2
outer 2X *4 = 8X
inner -3 *3X = -9x
last = -3 *4 =-12
Add them together = 6X^2 +8X -9X -12
= 6X^2 -X -12
Answer:
6x^2 - x - 12
Step-by-step explanation:
2x(3x + 4) = 6x^2 + 8x
-3(3x + 4) = -9x - 12
6x^2 + 8x - 9x - 12
6x^2 - x - 12
A geometric sequence {an} is defined by the function
f(1) = a1 = 6 and f(n) = an = (1.2)*f(n - 1) for n ≥ 2.
Find f(38).
A)273.6
B)326.26
C)5103.3735
D)6124.0482
ANSWER
C)5103.3735
EXPLANATION
The recursive definition of the given sequence is;
[tex]f(1) = a_1 = 6[/tex]
and
[tex]f(n) = a_n = (1.2) \times f(n - 1)[/tex]
The explicit definition is
[tex]f(n) = a_n =6 (1.2)^{n - 1} [/tex]
We substitute n=38 to obtain:
[tex]f(38) = a_ {38}= 6(1.2)^{37} [/tex]
[tex]f(38) = 5103.3735[/tex]
The correct choice is C.
Anita purchased a golf cart for her soccer field maintenance business. The cart cost $8,999 and has a useful life of 5 years. Its salvage value is $1,100.
Anita can write off (Q1)___ on the cart’s value. Based on the cart’s cost and useful life, she can write off an amount of $(Q2)___.
Q1: A. depreciation
B. revenue
Q2: A. 1,579,80
B. 1,799.90
Answer:
Q1:A. depreciation
Q2: B. 1,799.90
Step-by-step explanation:
In order to solve this, you have to remember that the depreciation is the amount of money that is lost onthe cost or price of certain products with the pass of the time, and after that you just divide the cost by the number of years of useful life that it will have for the company, in this example it is $8,999 between 5 years and that is $1799 per year of useful life.
Answer:
depreciation & 1,579.80
Step-by-step explanation:
Lorena is driving a truck that is painting the lines on a new road. The lines she paints are 0.152 meters wide, and she will paint a total length of 5.45 × 105 meters of lines. The shape created by the lines will be a rectangle, and the area will be the product of the length and width.
Approximately what area of the road will Lorena be painting?
5.602 × 10 (5) m2
8.284 × 10 (4) m2
8.698 × 10 (1) m2
8.284 × 10 (5) m2
5.602 × 10 (4) m2
Answer:
8.284 × 10^4 m^2
Step-by-step explanation:
The area is the product of length and width:
(5.45·10^5 m)·(0.152 m) = 0.8284·10^5 m^2 = 8.284·10^4 m^2
PLEASE HELP 50 points!!!!trapezoid ABCD is similar to trapezoid EFGH. What is the value of s?
32m
3.2m
0.8m
8m
You can set up a proportion based on the information you know. There are several ways to do this but here's one: [tex]\frac{8}{4} = \frac{s}{16}[/tex] because the 8 corresponds to the 4 and the s correspnds to the 16. Cross multiply to get 8 * 16 = 4s → 128 = 4s → 32 = s so the value of s is 32m
The value of s is 32 m.
Similar TrapezoidsSimilar trapezoids are trapezoids whose sides are in a ratio. the ratio is known as the scaled factor.
Scale factorA scale factor is a factor by which the image is been enlarged. for example, the scale factor of 10 means each side will be multiplied by 10, resulting in a figure that is 10 times the real figure.
As given to us, ABCD is similar to trapezoid EFGH. therefore, the sides of the trapezoid are in a ratio.
Thus we can write,
[tex]\bold{\dfrac{EH}{AD}=\dfrac{GH}{CD}}[/tex]
substituting the values we get,
[tex]\bold{\dfrac{s}{16}=\dfrac{8}{4}}[/tex]
[tex]\bold{s=\dfrac{8\times 16}{4}=32}[/tex]
Hence, the value of s is 32 m.
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