Answer:
[tex]\left\begin{array}{ccccc}&6&7&5&0\\-&3&8&9&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right[/tex]
Step-by-step explanation:
[tex]\left\begin{array}{ccccc}&6&*&5&*\\-&*&8&*&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right[/tex]
10-4=6Therefore the last digit of 6*5* is 0.
[(5-1)+10]-5=98+8+1=176-(1+2)=3Therefore:
[tex]\left\begin{array}{ccccc}&6&7&5&0\\-&3&8&9&4\\--&--&--&--&--\\=&2&8&5&6\end{array}\right[/tex]
A sequence of transformations is applied to a polygon. Which of the following statements represent a sequence of transformations where the resulting polygon is similar to the original polygon but has a smaller area than the original polygon? Select all that apply.
A. a reflection over the y–axis followed by a translation of 10 units down and a dilation about the origin by a scale factor of 2 B. a rotation of 180° counterclockwise about the origin followed by a dilation about the origin by a scale factor of 5 2 C. a dilation about the origin by a scale factor of 2 3 followed by a rotation of 90° counterclockwise about the origin and a translation 5 units left D. a dilation about the origin by a scale factor of 5 7 followed by a reflection over the y–axis and a dilation about the origin by a scale factor of 3 4
Answer:
C, D
Step-by-step explanation:
Any rigid transformation (rotation, translation, reflection) will result in a congruent polygon. To make a similar (smaller) polygon, a dilation by a factor less than 1 must be used.
C. a dilation about the origin by a scale factor of 2/3 followed by a rotation of 90° counterclockwise about the origin and a translation 5 units left
D. a dilation about the origin by a scale factor of 5/7 followed by a reflection over the y–axis and a dilation about the origin by a scale factor of 3/4
Answer:
c and something is not d
Step-by-step explanation:
Sandy borrowed 6709 R.O from a bank to buy a piece of land. If the bank charges 12 1/3 % compounded each two months, what amount will she have to pay after 2 years and half? Also find the interest paid by her.
Answer:
she is paying back 9112.5 R.O
Interest paid back is 2,403.95
Step-by-step explanation:
To find the amount, we use the compound interest formula.
This is given as;
A = I( 1 + r/n)^nt
where A is the amount we are trying to calculate
I is money borrowed = 6709
r is the interest rate = 12 1/3% = 37/3 = 12.33% which is same as 12.33/100 = 0.1233
n is the number of times interest is compounded. We have 15 2 months in 2 and a half years
t is the number of years = 2.5
Plugging these values, we have;
A = 6709(1 + 0.1233/15)^(15)(2.5)
A = 6709(1.0082)^(37.5)
A = 9112.95 R.O
Interest is amount - principal( money borrowed)
9112.95 - 6709 = 2403.95
What is the domain of the step function f(x) = ⌈2x⌉ – 1?
Answer:
believe its 2x cause 1 was wrong
Probability of Tournament Winners
Try it
Which statements are true? Check all that apply.
A local chess tournament gives medals for first, second,
and third place. There are five students from Midland
High, three students from Leasburg High, and six
students from Cassville High competing in the
tournament.
Order matters in this scenario.
There are 2,184 ways to select a first-place,
second-place, and third-place winner.
The probability that all three winners are from
Midland High is 0.0275.
The probability that all three winners are from
Leasburg High is 0.0046.
The probability that all three winners are from
Cassville High is 0.0549
Answer:
The answer is A B C and E
Step-by-step explanation:
I just took it
The statements are true A, B, C, and E.
What is probability?The chances of an event occurring are defined by probability. Probability has several uses in games, in business to create probability-based forecasts,
The given data in the problem is;
No of the students from Midland High = 5
No of the students from Leasburg High= 3
No the students from Cassville High = 6
The statements that are true will be;
A.Order matters in this scenario.
B.There are 2,184 ways to select a first-place,second-place, and third-place winner.
C.The probability that all three winners are from Midland High is 0.0275.
E.The probability that all three winners are from Cassville High is 0.0549
Hence the statements are true A, B, C, and E.
To learn more about the probability refer to the link;
https://brainly.com/question/11234923
Pavel and Katie share some sweets in the ratio 3: 8.
Katie gets 32 sweets.
How many sweets does Pavel get?
Answer:
Step-by-step explanation:
Katie gets 32/8 = 4 lots of sweets
Pavel gets 4 lots x 3 = 12 sweets
I WILL MAKE YOU THE BRAINLLEST
Which description matches the graph of the inequality y ≤ 2x – 1?
A.a shaded region below a solid boundary line
B.a shaded region above a dashed boundary line
C.a shaded region below a dashed boundary line
D.a shaded region above a solid boundary line
Answer:
The correct option is;
A. a shaded region below a solid boundary line
Step-by-step explanation:
The parameters given are;
The equation, y ≤ 2x - 1
We compare the above equation with the equation for a straight line, y = m·x + c to get
The slope m = 2
The y-intercept c = -1
Therefore, we have;
The graph of an inequality of a y value which is less than or equal to a function is represented by a solid line having the shaded region, which shows the area that satisfies the inequality, shaded below the line
Which gives the correct option as A. A shaded region below a solid boundary line.
f(x) = x^2. What is g(x)?
Answer:
B
Step-by-step explanation:
The coordinates are (1, 9).
x = 1
y = 9
Put x as 1, and the output should be 9.
g(1) = ( 3 (1) )²
g(1) = (3)²
g(1) = 9
Answer:
b
Step-by-step explanation:
B is correct since you could use a graphing calculator to solve this by plugging each answer choice into the calc.
another way is to plug 1 or x into each of the equations and see which choice has 9 as y
Find the volume of this square
based pyramid.
10 in
12 in
[ ? ]
Answer:
480 in.^3
Step-by-step explanation:
volume of pyramid = (1/3) * (area of base) * height
Since this pyramid has a square for the base, the area of the base is
A = s^2, where s = length of the side of the square
volume = (1/3) * s^2 * h
volume = (1/3)(12 in.)^2 * (10 in.)
volume = (1/3)(144)(10) in.^3
volume = 480 in.^3
The volume of the square-based pyramid is 480 cubic inches as per the concept of the pyramid.
To find the volume of a square-based pyramid, we can use the formula:
Volume = (1/3) x base area x height.
In this case, the base of the pyramid is a square with a side length of 12 inches, and the height of the pyramid is 10 inches.
First, we calculate the base area of the pyramid, which is the area of the square base:
Base area = side length x side length
= 12 in x 12 in
= 144 square inches.
Now, we can substitute the values into the volume formula:
[tex]Volume = \frac{1}{3} \times 144 \times 10[/tex].
Multiplying these values, we get:
[tex]Volume = \frac{1}{3} \times1440 {in}^3[/tex]
Simplifying the expression, we have:
[tex]Volume = 480\ in^3[/tex].
To learn more about the pyramid;
https://brainly.com/question/17615619
#SPJ2
Evaluate 27% of £396.58
Answer: £107.08
Step-by-step explanation:
27% of 396.58
= 396.58 x 0.27
= 107.08
Name the plane represented by the front of the box.
Answer:
FBC
Step-by-step explanation:
It's the only one at the front of the box
Answer:
FBC
Step-by-step explanation:
thats what it says on my sheet
anyone know how to do this?
Answer:
12.1 =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos 30 = x/14
14 cos 30 = x
12.12435565 =x
12.1 =x
f(x) = 4x^2 – 4x
Find f(-7)
Answer:
f(-7)=224
Step-by-step explanation:
[tex]f(x) = 4x^2 -4x\\f(-7)= 4(-7)^2 - 4(-7)\\= 4(49) -+28\\=196+28\\f(-7) = 224[/tex]
You invest $700 in an account that pays an interest rate of 6.5% compounded continuously calculate the balance of your account after 20 years round your answer to the nearest hundred
Answer:
$2466.55
Step-by-step explanation:
We use the formula for Compound Amount, the amount gotten after a particular time, to find the balance:
[tex]A = P(1 + r)^t[/tex]
where P = Principal = $700
r = rate = 6.5% = 0.065
t = time elapsed 20 years
Therefore:
[tex]A = 700(1 + 0.065)^{20}\\\\A = 700(1.065)^{20}\\[/tex]
A = $2466.55
The balance of the account will be $2466.55
Find the domain for the rational function f of x equals quantity x plus 4 over quantity 3 times x minus 5. negative infinity to negative five thirds and negative five thirds to infinity negative infinity to five thirds and five thirds to infinity (−∞, −4)( −4, ∞) (−∞, 4)(4, ∞)
Answer:
(-∞, 5/3) and (5/3,∞)
Step-by-step explanation:
f(x) = (x+4)/ (3x-5)
The domain is the values that x can be
We have one discontinuity or value the x cannot be
The denominator cannot be zero
3x-5 ≠0
3x≠5
x ≠5/3
The domain is all real numbers but x = 5/3
(-∞, 5/3) and (5/3,∞)
Which expression is equivalent to the following complex fraction? StartFraction x Over x minus 3 EndFraction divided by StartFraction x squared Over x squared minus 9 EndFraction StartFraction x minus 3 Over x EndFraction StartFraction x + 3 Over 1 EndFraction StartFraction x + 3 Over x EndFraction StartFraction x Over x + 3 EndFraction
Answer:
[tex](C) \dfrac{x+3}{x}[/tex]
Step-by-step explanation:
We want to determine an equivalent expression to:
[tex]\dfrac{x}{x-3} \div \dfrac{x^2}{x^2-9}[/tex]
Step 1: Factorise [tex]x^2-9[/tex] using the difference of two squares.
[tex]x^2-9=x^2-3^2=(x-3)(x+3)[/tex]
Step 2: Change the division sign to multiplication
[tex]\dfrac{x}{x-3} \times \dfrac{(x-3)(x+3)}{x^2}[/tex]
Step 3: Cancel out common terms and simplify
[tex]= \dfrac{x+3}{x}[/tex]
The correct option is C.
The expression equivalent to given expression is [tex]\frac{x+3}{3}[/tex]
Given expression is,
[tex]\frac{x}{x-3}\div\frac{x^{2} }{x^{2} -9}[/tex]
Use factorization, [tex]x^{2} -9=(x-3)(x+3)[/tex]
Now simplify the given expression.
[tex]\frac{x}{x-3}\div\frac{x^{2} }{x^{2} -9}\\\\=\frac{x}{x-3}*\frac{(x-3)(x+3)}{x^{2} } \\\\=\frac{x+3}{x}[/tex]
Hence, the expression equivalent to given expression is [tex]\frac{x+3}{3}[/tex]
Learn more:
https://brainly.com/question/1280754
A circular pond has a radius of 6 feet. What is the area of that pond?
Answer:
radius x radius x pi = area of circle
6 x 6 = 36
36 x 3.14 = 113.04
113.04
Hope this helps
Step-by-step explanation:
The equation of a circle is (x - 3)^2 + (y + 2)^2 = 25. The point (8, -2) is on the circle. What is the equation of the line that is tangent to the circle at (8, -2)?
Answer:
x = 8
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
We know that the line which is tangent at a point on a circle is perpendicular to the line joining the center of the circle and that point.
please mark me as brainliest :)
{(1,3),(1,2),(3,-2),(3,-2),(3,2)} is a function?
Answer: No its not a Function
Step-by-step explanation:
ITs not a function because
{(1,3),(1,2),(3,-2),(3,-2),(3,2)}
The codomain is being repreted
for example if you look here (1,2),(3,2)}
The 2 is being repreted which shows its not a function
Hope this helps :)
Which inequality is represented by this graph?
Answer:
C. y < -1/5x + 1
Step-by-step explanation:
We can eliminate A and B because the inequality sign is incorrect. If we were to graph those, the shaded area would be above the line, not below. We are left with C and D. Notice in our given graph that the line is dotted, so solution on the line are not included. So our answer would be C. because the inequality sign is y is less than and not y is less than or equal to.
Find the height of a cylinder of volume 200cm^3 and radius 4
Answer:
3.98 cm
Step-by-step explanation:
V= πr²h
V= 200 cm³, r= 4 cm, h=?
h= V/(πr²)= 200/(3.14*4²)= 3.98 cm
What is 1 + 1 in math 3
Answer:
11
Step-by-step explanation:
the answer is 11
Simplify
(y + 1)
(y + 1)
Answer:
That is already at its simplest form.
Step-by-step explanation:
(y + 1)(y + 1) or (y + 1)² is the factored form of y² + 2y + 1. You cannot break it down any further after you reached binomials after you factor unless you are solving for x.
Which point gives the vertex of f(x) = x2 – 4x + 21? Question 1 options: (–2,–17) (2,17) (–2,17) (2,–17)
Answer:
[tex](2, 17)[/tex]
Step-by-step explanation:
A parabola has the general function: [tex]f(x)=ax^2+bx+c[/tex]
In this case we have: [tex]f(x) = x^2 - 4x + 21[/tex]
where
[tex]a=1[/tex]
[tex]b=-4[/tex]
[tex]c=21[/tex]
the vertex of a parabola is in the coordinates:
[tex](\frac{-b}{2a}, \frac{-b^2+4ac}{4a} )[/tex]
substituting all of the known values, we get the following:
[tex](\frac{-(-4)}{2(1)} ,\frac{-(-4)^2+4(1)(21)}{4(1)} )\\\\(\frac{4}{2} ,\frac{-16+84}{4} )\\\\\\(2 ,\frac{68}{4} )\\\\\\(2,17)[/tex]
the vertex of [tex]f(x) = x^2 - 4x + 21[/tex] is at the point (2,17) which is the second option.
Answer:
2,17
Step-by-step explanation:
which of the following is the correct graph of the linear equation below? y+2=1/5(x-1)
Answer:
Step-by-step explanation:
Simplify each expression involving signed numbers.
-7 -2 = -9
12 + (-4) = 8
-8(-6) =
18/-3=
PLEASE HURRY! Thanks!
Answer:
-9=-9
8=8
-48=-48 or -8(-6)=-48
-6=-6 or 18/-3=-6
Step-by-step explanation:
Answer:
Simplify each expression involving signed numbers.
-7 – 2 =
✔ –9
12 + (-4) =
✔ 8
-8(-6) =
✔ 48
StartFraction 18 over negative 3 EndFraction =
✔ –6
can I have some brainiest
Step-by-step explanation:
Hellpppp
What are the coordinates of point K” on the final image?
(-7, 4)
(-4,-7)
(4,-7)
(4,7)
Answer:the answer I’m is C trust me
Step-by-step explanation: I just took the test
Answer:(-4,7)
Step-by-step explanation:
Edg 2021
please help me for the brainliest answer
Answer:
3, 12, 27 and 300
Step-by-step explanation:
Plug n as 1, 2, 3 and 10.
3(1)² = 3
3(2)² = 12
3(3)² = 27
3(10)² = 300
Circle O is shown. Line segments A O and B O are radii. The length of O B is 16 inches. Angle A O B has a measure of StartFraction pi Over 4 EndFraction
In circle O, angle AOB measures radians.
What is the length of arc AB?
π in.
If you know the angle in radians, then the length of the arc is
(measure of the angle in radians) x (radius of the circle) .
In this circle, we know the angle and we know the radius.
Arc AB = ( π/4) x (16")
Arc AB = 4π inches
Arc AB = about 12.566... inches
Answer:
6 pie correct on edge
Step-by-step explanation:
A surveyor is 40m from the edge of a building. The angle of elevation from the surveyor to the top of the building is 55° . What is the height of the building?
Answer:
Height of building is 57.12 m.
Step-by-step explanation:
Let us try to understand the given dimensions as per the attached diagram.
Please refer to attached image (Right angled [tex]\triangle OBT[/tex])
with [tex]\angle B =90^\circ[/tex]
Let O be the point where the Surveyor is standing.
B be the point of the base of building.
T be the point of top of building.
As per question statement,
[tex]\angle O = 55^\circ[/tex]
Side OB = 40 m
To find: Side BT = ?
Using tangent trigonometric identity:
[tex]tan\theta =\dfrac{Perpendicular}{Base}[/tex]
[tex]tanO =\dfrac{BT}{BO}\\\Rightarrow tan55^\circ = \dfrac{BT}{40}\\\Rightarrow BT = tan55^\circ \times 40\\\Rightarrow BT = 1.43\times 40\\\Rightarrow BT = 57.12 m[/tex]
So, height of building is 57.12 m.
please solve
thankyou in advance x
Answer:
For the first one,
x=6 and y=16
Step-by-step explanation:
If I think of any more then I will tell you