Answer:
=14237.90
Step-by-step explanation:
13000*1.023^4=14237.89832
=14237.90
If a wheel has a radius of 5cm
how much is one rotation of the wheel
How many rotations can the wheel do within a distance of 50km
Answer:
circumference = 2*PI*radius
circumference = 2 * PI * 5 cm
circumference = 31.4159265358979 cm
50 km = 500,000 centimeters
rotations = 500,000 / 31.4159 cm
15,915.51 rotations
Step-by-step explanation:
If all sides of a triangle are congruent then all sides of a triangle are congruent....write the given and proof
Step-by-step explanation:
Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.
An electricity post is supported by a 12 m long strut(wire). If the strut makes an angle of 53° with the ground level, how far from the post is the strut attached to the ground?
Step-by-step explanation:
I do hope that you understand through the steps in the attachment, if not kindly reach out!
Which is the graph of f(x) = -(x + 3)(x + 1)?
8
4
22
2
2
2
-8
6
х
2
6 4
6
8
-6
4
X
2
-2
-2
19
2
Answer:
It's the second option
Step-by-step explanation:
Graph for -(x+3)(x+1)
The graph of f(x) = -(x + 3)(x + 1) is the option B.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given function is,
f(x) = -(x + 3)(x + 1)
Simplifying,
f(x) = - (x² + 3x + x + 3)
f(x) = -x² - 4x - 3
This is a quadratic function, the graph of which is a parabola.
Leading coefficient is negative, so the parabola opens downward.
Options are either A or B.
x coordinate of the vertex of a parabola of equation ax² + bx + c is -b/2a.
Here x coordinate = -(-4) / (2 × -1) = -2
The vertex of first graph is (2, 1) and that of second graph is (-2, 1).
The correct option is second graph.
Hence the second graph is the graph of the given function.
Learn more about Quadratic functions here :
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more points for yal if u help <333
Date: Pages The recent price of a car is Rs. 10.00,000: If its price reduces by to1 yearly after how many year its price will be Rs 7, 29,000?
Answer:
729000 year it's price will Rs 729000
NEED HELP ASAP!!!!!!!
1+-2/3--m where m=9/2
Answer:
-25/9
Step-by-step explanation:
1 + (-2/3) - m
Plug in:
1 + (-2/3) - 9/2
1 + 2/3 - 9/2
1/3 - 9/2
-25/9
Hope this helped.
Answer:
4 5/6
Step-by-step explanation:
1+-2/3--m
Subtracting a negative is like adding
1-2/3 +m
1/3+m
m = 9/2
1/3 +9/2
Get a common denominator of 6
1/3 *2/2 +9/2*3/3
2/6 + 27/6
29/6
Changing to a mixed number
4 5/6
Carlos has chosen twelve different compact discs (CDs) he would like to buy. Four are rap music, five are country music, and three are heavy metal music. Carlos then randomly selects five of the 12 CDs to purchase. What is the probability that his purchase includes at least one CD from each of the three categories
Answer:
185/198
Step-by-step explanation:
Since the are 12 Cd and we require them to be selected in 5 ways, the number of selections is ¹²C₅ = 12 × 11 × 10 × 9 × 8/5! = 95040/120 = 792 ways
Since we have Four are rap music, five are country music, and three are heavy metal music, the number of ways to select them in groups of five so as to have at least one of each CD from each category, we have
For the first selection 3 of one category, and 1 each of the other categories.
The second selection is 2 each of two categories and 1 of the last category.
So, doing this for each category, we have
⁴C₃ × ⁵C₁ × ³C₁ + ⁴C₂ × ⁵C₂ × ³C₁ + ³C₃ × ⁴C₁ × ⁵C₁ + ³C₂ × ⁴C₂ × ⁵C₁ + ⁵C₃ × ⁴C₁ × ³C₁ + ⁵C₂ × ³C₂ × ⁴C₁
= (4 × 3 × 2/3! × 5 × 3) + (4 × 3/2! × 5 × 4/2! × 3) + (1 × 4 × 5) + (3 × 2/2! × 4 × 3/2! × 5) + (5 × 4 × 3/2! × 4 × 3) + (5 × 4/2! × 3 × 2/2! × 4)
= 360/6 + 720/4 + 20 + 360/4 + 720/2 + 120/4
= 60 + 180 + 20 + 90 + 360 + 30
= 740 ways
So, the required probability is P = number of ways of selecting at least one CD/ total number of ways = 740/792 = 185/198
Find all complex numbers z such that z^4 = -4.
Note: All solutions should be expressed in the form a+bi, where a and b are real numbers.
The denominator of a fraction exceeds twice the numerator of the fraction by 10. The value of this fraction is 5/12. Find the fraction.
Answer:
25/60
Step-by-step explanation:
Numerator = n
[tex]\frac{n}{2n + 10} = \frac{5}{12}[/tex]
Cross multiply:
n * 12 = (2n + 10) * 5
12n = 10n + 50
12n - 10n = 10n + 50 - 10n
2n = 50
n = 25
Fraction = [tex]\frac{25}{60}[/tex]
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
25/60
Step-by-step explanation:
Study Island:)
Will give brainliest to the first person
Step-by-step explanation:
Area=b×h
= (x+5)×(x+6)
=x^2+6x+5x+30
=x^2+11x+30
If u simplify u will get (x+5)(x+6) as answer.
Keep smiling and hope u are satisfied with my answer.Have a good day :)
someone answer this please
Answer:
720º
Step-by-step explanation:
To find the total amount of interior angles in any polygon, we have to use the formula, (n-2)*180.
Here, the n is the number of sides the polygon has. In this case, your polygon has 8 sides. Therefore it would be (8-2)*180 --> 4*180 = 720º.
Answer:
the answer is 720. Please give me brainliest
convert f(x) = 5x(x – 6) to standard form
Answer:
[tex]5x^{2} - 30x[/tex]
Step-by-step explanation:
multiple the following
[tex] \frac{18}{15} \times \frac{25}{12} [/tex]
Answer:
5/2
Step-by-step explanation:
(18/15)*(25/12)=(18*25)/(15*12)=450/180=5/2
Another of Bhaskara's problems results in a quadratic equation Parthava was enraged and seized a certain number of arrows to slay Karna. He expended one-half of them in defending himself. Four times the square root of the number of arrows were discharged against the horses. With six more, he transfixed Shalya, the charioteer. With three more, he rent the parasol, the standard, and the bow; and with the last one he pierced the head of Karna. How many arrows did Parthava have?
Answer:
Parthava had 100 arrows.
Step-by-step explanation:
Let's define N as the number of arrows that Parthava originally has.
He uses one-half of them in defending himself, so he used N/2 arrows
Now he uses four times the square root of the number of arrows, so now he uses:
4*√N
Then he uses 6
Then he uses 3
Then he uses the last one.
If we add all these numbers of arrows that he used, we should get the initial number of arrows that he used, then:
N/2 + 4*√N + 6 + 3 + 1 = N
Now we have an equation that we can try to solve.
First, let's move all the terms to the same side:
N/2 + 4*√N + 6 + 3 + 1 - N = 0
now we can simpify it:
(N/2 - N) + 4*√N + (6 + 3 + 1) = 0
-(1/2)*N + 4*√N + 10 = 0
Now we can define a new variable x = √N
Then we have: x^2 = N
now we can replace these new variables in our equation to get:
-(1/2)*x^2 + 4*x + 10 = 0
Now we just have a quadratic equation.
Remember that for a quadratic equation of the form:
0 = a*x^2 + b*x + c
The solutions were given by:
[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2a}[/tex]
Then in our case, the solutions will be:
[tex]x = \frac{-4 \pm \sqrt{4^2 - 4*(-1/2)*10} }{2*(-1/2)} = \frac{-4 \pm 6 }{-1} = 4 \pm 6[/tex]
So there are two solutions:
x = 4 + 6 = 10
x = 4 - 6 = -2
And remember that x = √N
Then x should be positive, then we take x = 10 as our solution here.
then we can use the equation:
x = 10 = √N
then
10^2 = √N^2 = N
10^2 = 100 = N
Parthava had 100 arrows.
Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.
This is a triangle. side a has a length of 6 yards. side b has a length of 10 yards. side c has a length of 14 yards. The altitude to side c has a length of X yards. what is x
Answer:
3.71 yd
Step-by-step explanation:
Heron's formula:
area = 0.25 * √((a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c))
so h = 0.5 * √((a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c)) / c
a = 6
b = 10
c = 14
a+b+c = 30
-a+b+c = 18
a-b+c = 10
a+b-c = 2
x = h = 0.5×sqrt(30×18×10×2)/14 = sqrt(30×18×10×2)/28 =
= sqrt(10800)/28 = sqrt(400×9×3)/28 =
= 20×3×sqrt(3)/28 = 60×sqrt(3)/28 = 15×sqrt(3)/7 =
= 3.711537 yd
1a.-14,____,-6,____,2,____,10
b. ____, - 2,4,____,16,____,64
2.Factor of 60=
1,2,3,4,5,6,10,x,15,20,y,z
Find the sum of the values of x, y and z
Please help me to solve these question, thank you.
Answer:
102
Step-by-step explanation:
x= 12
y= 30
z= 60
Hope u got it
Answer:
Hello,
a) -6
b) -39
c) 102
Step-by-step explanation:
I suppose this are sequence arithemical or geometrical
[tex]a)\\u_1=-14\\u_2=x\\u_3=-6\\u_4=y\\u_5=2\\u_6=z\\u_7=10\\\\We\ see\ that\ :\\u_3-u_1=-6-(-14)=-6+14=8\\u_5-u_3=2-(-6)=2+6=8\\u_7-u_5=10-2=8\\\\We\ may \imagine\ that\ the\ difference\ bethween\ 2\ terms\ is\ =8/2=4\\\\so\ x=-10, y=-2, z=6 \ and\ x+y+z=-10+(-2)+6=-6\\[/tex]
[tex]b)\\u_1=x\\u_2=-2\\u_3=4\\u_4=y\\u_5=16\\u_6=z\\u_7=64\\\\We\ see\ that\ :\\\\\dfrac{u_5}{u_3}=\dfrac{16}{4} =4\\\dfrac{u_8}{u_6}=\dfrac{64}{16} =4\\\dfrac{u_3}{u_2}=\dfrac{4}{-2} =-2\\\\The\ common\ factor\ is\ -2\\\\u_1=x=\dfrac{u_2}{-2} =1\\\\u_4=y=\dfrac{u_5}{-2} =-8\\\\u_6=z=\dfrac{u_7}{-2} =-32\\x+y+z=1+(-8)+(-32)=-39\\[/tex]
c)
All those numbers are divisor of 3*4*5=60
x=12, y=30, z=60
x+y+z=12+30+60=102
How do you solve 17 and 18 I need explanation pls
Answer:
17. C
18.G
Step-by-step explanation:
17. According to the question, gravel is 4/13 of the total asphalt substance. One parking lot has 260 tons of asphalt. So this means there is 80 tons of gravel because 260 times 4/13=80. We need to find the tons of gravel if we made 3 parking lot. This means 3 parking lot is the same as 780. So we can just find the measure of gravel by multiplying
4/13 by 780.
[tex] \frac{4}{13} \times 780 = 240[/tex]
So there is 240 tons of gravel. C is the answer.
18. Set up system of equations.
[tex]a + b + c = 110[/tex]
The ratio of a to c is 1:7 and the ratio of b to c is 3:7. Using this information,
C is 7 times more than A.A is 3 times less than BUsing this info, we can make alternate equations
[tex]c = 7a[/tex]
[tex]b = 3a[/tex]
Subsitue this into the original equation,
[tex]a + 7a + 3a = 110[/tex]
[tex]11a = 110[/tex]
[tex]a = 10[/tex]
We need to find c, c is 7 times more than a so c is
[tex]c = 10 \times 7 = 70[/tex]
On a sunny day, a building and its shadow form the sides of a right triangle. If the hypotenuse is 34 m long and the shadow is 24 m, how tall is the building
Answer:
Step-by-step explanation:
h=√[34²-24²]=√[(34-24)(34+24)]=√[10×58]=√(5×29)=√145 ≈12 m
The height of the building is 10 meters.
What is the Pythagorean theorem?Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We can apply this theorem only in a right triangle.
Example:
The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.
Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm
We have,
Let's call the height of the building "h".
We can use the Pythagorean theorem to relate the height, shadow, and hypotenuse of the right triangle:
h² + 24² = 34²
Simplifying and solving for h.
h² = 34² - 24²
h² = 676 - 576
h² = 100
h = 10
Therefore,
The height of the building is 10 meters.
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Which of these products is negative? Select all that apply.
-8 ÷ (-3)
-2 ÷ 8
0 ÷ (-2)
15 ÷ (-5)
-8 ÷ (-9)
Answer:
Positive/negative = negative
Negative/positive = negative
So -2 ÷ 8 and 15 ÷ (-5) are going to have negative quotients.
Let me know if this helps!
Cual es el resultado de la siguiente división (– 1/3 a^2 b^5 – 1/2 a^5 b^4 + 2/5 a^3 b – 5a^2 b^7) / ( – 5a^2 b^2)
Answer:
dont understand clearly
Step-by-step explanation:
plz help me on this
please help! need answers in order to move on:)
1.) which number equals (5)^-3?
- -125
- 1/15
- 1/125
- -15
2.) find the equivalent for -(3)^-4
- -(4x4x4)
- -3x-4
- 1/-3x-3x-3x-3
- -(1/3x1/3x1/3x1/3)
3.) which of the following is equivalent to 3^-8x3^4
- 3^-12
- 3^-4
- 3^-2
- 3^-32
4.) which value is equivalent to 7^-3/7^-5
- 7^15
- 7^-2
- 7^8
- 7^2
5.) choose the equivalent expression (8^10)^2
- 8^12
- 8^20
- 8^8
- 8^5
6.) which expression is equivalent to (9x8)^4
- 9x8x4
- 9^4x8^4
- (9^8)^4
- (9^4)^8
7.) which expression is equivalent to (2/7)^5
- 2^5/7^5
- 2x5/7x5
- 2^5/7
- 2x5/7
Answer:
1)
5⁻³ = 1/5³ = 1/1252)
-3⁻⁴ = -(1/3)⁴ = -(1/3×1/3×1/3×1/3)3)
3⁻⁸ x 3⁴ = 3⁻⁸⁺⁴ = 3⁻⁴4)
7⁻³/7⁻⁵ = 7⁻³ ⁻⁽⁻⁵⁾ = 7⁻³⁺⁵ = 7²5)
(8¹⁰)² = 8¹⁰*² = 8²⁰6)
(9x8)⁴ = 9⁴x8⁴7)
(2/7)⁵ = 2⁵/7⁵Answer:
1) [tex]5^{-3}[/tex]-
Exponent rule:- [tex]a^{-b}=\frac{1}{a^b}[/tex]
[tex]5^{-3}=\frac{1}{5^3}[/tex]
[tex]=\frac{1}{5^3}[/tex]
[tex]5^3=125[/tex]
Answer:- [tex]\frac{1}{125}[/tex]
---------
2) [tex]-3^{-4}[/tex]
[tex]-(\frac{1}{3} )^{4}[/tex]
Answer:- [tex]-(\frac{1}{3}\times\frac{1}{3} \times \frac{1}{3} \times\frac{1}{3} )[/tex]
---------
3) [tex]3^{-8}\times 3^{4}[/tex]
[tex]3^{-8+4}[/tex]
Answer:- [tex]3^{-4}[/tex]
----------
4) [tex]7^{-3} /7^{-5}[/tex]
[tex]7^{-3-(-5)}[/tex]
[tex]7^{-3+5}[/tex]
Answer:- [tex]7^{2}[/tex]
----------
5) [tex](8^{10} )^{2}[/tex]
[tex]8^{10\times2}[/tex]
Answer:- [tex]8^{20}[/tex]
---------
6) [tex](9\times8)^{4}[/tex]
Answer:- [tex]9^{4} \times 8^{4}[/tex]
---------
7) [tex]\left(\frac{2}{7}\right)^5[/tex]
Answer:- [tex]\frac{2^{5} }{7^{5} }[/tex]
-----------------------
OAmalOHopeO
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what is the slope in the linear equation y = 2x=1?
Answer:
The slope of the line is 2
Step-by-step explanation:
y=2x+1, compare it to the slope intercept form of a line, y=mx+c, the slope will be 2
Answer:
its 2
comment for more understanding
Good luck
Which inequality is represented by this graph?
Answer:
x> 0
Step-by-step explanation:
There is an open circle at 0 so this means it is not equal to
The line goes to the right so x is greater than
x> 0
Lorraine writes the equation shown. x²+4-15=0 She wants to describe the equation using the term relation and the term function. The equation represents a relation and a function a relation but not a function a function but not a relation neither a relation nor a function
Answer:
Neither a relation nor a function
Step-by-step explanation:
A relation in mathematics is a relationship between two or more set of values in an ordered pair, such as related x and y-values
An equation is a statement that gives declare the equality between two expressions
A function is a mapping rule that maps each element in the domain set to only one element in the range set
Therefore, the given equation in one variable, x, that asserts the equality of the expressions on the left and right hand side, is neither a relation nor a function
Ella bought a 2 bedroom unit 12 years ago for $95 000 and recently sold it for $280 000 (after deducting selling costs).
a) Find the profit.
b) Find the profit as a percentage of the buying price.
c) Find the profit as a percentage of the selling price.
d) Which percentage profit sounds better as far as Ella is concerned?
pls explain, thanks!!!!
C.P. = $95000
S.P. = $280000
a. Profit
= S.P. - C.P.
= $280000 - $95000
= $185000
b. Let the profit% of C.P. be x.
(x/100) × $95000 = $185000
=> x/100 = $185000/$95000
=> x/100 = 37/19
=> x = (37/19) × 100
=> x = 3700/19
=> x = 194 14/19
So, profit percent of buying price is 194 14/19%.
c. Let the profit% of S.P. be x.
(x/100) × $280000 = $185000
=> x/100 = $185000/$280000
=> x/100 = 37/56
=> x = (37/56) × 100
=> x = 3700/56
=> x = 925/14
=> x = 16 1/14
So, profit percent of selling price is 16 1/14%.
d. Buying price percentage profit sounds better as far as Ella is concerned.
A graph shows minutes on the horizontal axis from 0 to 10 and miles from start on the vertical axis from 0 to 1.5. The blue line labeled Andy begins at 0 miles in 0 minutes and ends at 1.25 miles at 10 minutes. The red line labeled Berta begins at 0.5 in 0 minutes and ends at 1.12 miles in 10 minutes. The green line labeled Caedin begins at 1.5 miles in 0 minutes, to 0 miles in 6 minutes, and ends at 1 mile in 10 minutes. [NOTE: character count is 425; possible visual bias in graph]
Three runners run along a 1.5 mile trail one Saturday morning. The graph shows the runners’ locations starting at 9:00 a.m.
Answer:
Who is at the trail start at 9:00 a.m.? : Andy
Who runs fastest? : Caedin
When do Andy and Berta cross paths? : 9:08 am
Who is closest to the 1.5 mile mark after 6 minutes? : Berta
Step-by-step explanation:
assignment
How many solutions does the system have?
⎪
⎪
⎨
⎪
⎪
⎧
x+y=3
5x+5y=15
