Answer:
Step-by-step explanation:
let the cost based on number of book bought be x and the constant be c:
4800 = 20x + c
8000 = 40x + c
c is common in both equations:
c =4800-20x
c = 8000-40x
equate the two:
4800-20x = 8000 - 40x
20x = 3200
x = 160
and c = 4800-20*160
c = 1600
Cost of 1000 books:
160*1000 + 1600
= 161600
can you please tell me the answer I don't know
Answer:
1)
=6-15+7
=6-22
=-16 answer
2)
=7×40/5
=Then,7×8
=56 answer
Find the number if 20% of 64 is 10% of it?
Answer:
128
Step-by-step explanation:
20% of 64
= 0.2 × 64 = 12.8
10% = 12.8 , then
100% = 12.8 × 10 = 128
Answer:
The number is 128
Step-by-step explanation:
Let the number be represented by X
Therefore
20/100*64=10/100*X
---10X=1280
Now dividing both sides of the equation by 10 it will be
=10X/10=1280/10 which is
---X=128
Therefore the number is 128
Given: △PST, Area of △PST=71.24 PS=15, Pt=13 Find: m∠P (Please help!!!)
Answer:
∠ P ≈ 46.9°
Step-by-step explanation:
The area (A) of Δ PST is calculated as
A = [tex]\frac{1}{2}[/tex] × PS × PT × sinP
Here A = 71.24 , then
[tex]\frac{1}{2}[/tex] × 15 × 13 × sinP= 71.24 , that is
97.5 × sinP = 71.24 ( divide both sides by 97.5 )
sinP = [tex]\frac{71.24}{97.5}[/tex] , then
∠ P = [tex]sin^{-1}[/tex] ([tex]\frac{71.24}{97.5}[/tex] ) ≈ 46.9° ( to the nearest tenth )
Find the coordinates of the image of M(−1, 5) after the translation (x, y)→(x+3, y−2).
a(n) = -5 + 6(n - 1)a(n)=−5+6(n−1)a, left parenthesis, n, right parenthesis, equals, minus, 5, plus, 6, left parenthesis, n, minus, 1, right parenthesis
Find the 12^\text{th}12
th
12, start superscript, start text, t, h, end text, end superscript term in the sequence.
Answer:
The 12th term is 61
Step-by-step explanation:
I will assume that your a(n) = -5 + 6(n - 1) is correct; the rest is redundant (duplicative, unneeded).
To find the 12th term, substitute 12 for n in the above formula:
a(12) = -5 + 6(12 - 1) = -5 + 6(11) = 66 - 5, or 61
The 12th term is 61
Answer:
61
Step-by-step explanation:
What is the circumference of the following circle?
ea
3 cm
a
t
D
cm
Show Calculator
your question is incomplete dear check it once
Mai is putting money into a checking account.Let Y represent the total amount of money in the account (dollars)Let X represent the number of weeks Mai has been adding money suppose that x and y are related by the equation 550+40x =y what is the change per week in the amount of money in the account ?
Answer:
The answer is $40.
Step-by-step explanation:
According to the equation given in the question, we can assume that 550 is constant and was there when Mai started saving into a checking account.
Then as x gets increased by 1 each week, the amount of change in the account per week is $40.
I hope this answer helps.
If $x \geq 0$ and $y \geq 0$, how many lattice points does the line $y = -2x + 18$ pass through?
A square has an area of 18.49 square yards. What is the length of each side in yards?
Answer:
4.6225
Step-by-step explanation: It would be too long to get an exact
Answer:
Step-by-step explanation:
Area of square = 18.49 square yards
side² = 18.49
side = √18.49
side = 4.3 yards
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
The amount of lemonade left in a pitcher would be considered ________ data.
A. neither continuous nor discrete
B. discrete
C. continuous
D. both continuous and discrete
prove that...sin^4α+sin^2αcos^2α=sin^2α
Answer:
Note that LHS means left-hand side and RHS means right-hand side.
Step-by-step explanation:
LHS = sin⁴a + sin²a cos²a
= sin²a (sin²a + cos²a)
At this point, you can use the identity sin²a + cos²a = 1,
= sin²a (1)
= sin²a
= RHS (Proved)
Answer:
Step-by-step explanation:
[tex]\Large \boldsymbol{} \sin^4a+\sin^2a \cos^2a=\sin^2a \\\\\sin^2a(\underbrace{\sin^2a+\cos^2a}_1) =\sin^2a \\\\\sin^2a\cdot 1=\sin^2a \\\\\sin^2a=\sin^2a[/tex]
Find the point on y axis which is equidistant from the point (5,-2) and (-3,2)
Answer:
(0, -2)
Step-by-step explanation:
a point on the y-axis. that means x=0.
so, the distance of (5, -2) to (0, y) is the same as the distance from (-3, 2) to (0, y).
the distance between (5, -2) and (0, y) is based on Pythagoras (the differences in x and y directions are the sides of a right-angled triangle, and the distance is its Hypotenuse, its baseline) :
distance² = (5-0)² + (-2 - y)² = 25 + 4 + 4y + y² = 29+4y+y²
but it is also
distance² = (-3-0)² + (2 - y)² = 9 + 4 - 4y + y² = 13 - 4y + y²
so, we get
29 + 4y + y² = 13 - 4y + y²
29 + 4y = 13 - 4y
16 = -8y
y = -16/8 = -2
their, the point on the y-axis being equidistant to both points is (0, -2)
If a and b are acute angles such that tan (a+b)= 1.73 and tan(a-b) =1/1.73, find a and b
[tex] \LARGE{ \underline{ \boxed{ \orange{ \rm{Solution:)}}}}}[/tex]
Given,tan (a + b) = 1.73 [tex]\approx[/tex] √3tan (a - b) = 1 / 1.83 [tex]\approx[/tex] 1 / √3To find:Value of a and b in degrees....?Solution:☃️ Refer to the trigonometric table....
Then, proceeding
⇛ tan 60 ° = √3
⇛ tan 60° = tan (a + b)
⇛ 60° = a + b
Flipping it,
⇛ a + b = 60° --------(1)
And,
⇛ tan 30° = 1 / √3
⇛ tan 30° = tan (a - b)
⇛ 30° = a - b
Flipping it,
⇛ a - b = 30° ---------(2)
Now adding eq.(1) and eq.(2),
⇛ a + b + a - b = 60° + 30°
⇛ 2a = 90°
⇛ a = 90° / 2
⇛ a = 45°
Putting value of a in eq.(1),
⇛ 45° + b = 60°
⇛ b = 15°
☄ So, Our Required answers:
a = 45°b = 15°━━━━━━━━━━━━━━━━━━━━
What is the median of the following set of measurements?
"22 kg, 24 kg, 28 kg, 19 kg, 27 kg",
The median of the measurements is kg.
Answer:
24 kg
Step-by-step explanation:
The median can be found by putting the numbers in order and then finding the middle value.
In order from least to greatest:
19, 22, 24, 27, 28
24 is the middle value
So, 24 kg is the median.
Answer:
24 kg
Step-by-step explanation:
The median is the number in the middle of the data set. To find the median, arrange the numbers from least to greatest, then locate the middle number.
1. Arrange the numbers from least to greatest
Numbers: 22 kg, 24 kg, 28 kg, 19 kg, 27 kg
Least to greatest: 19 kg, 22 kg, 24 kg, 27 kg, 28 kg
2. Locate the middle number
Cross one number off each end of the set until the middle is reached.
19 kg, 22 kg, 24 kg, 27 kg, 28 kg
Cross off 19 and 28
22 kg, 24 kg, 27 kg
Cross off 22 and 28
24 kg
The middle number has been reached.
median= 24 kg
The median of the measurements is 24 kilograms.
Hi how to solve this pythagoras theorem
Answer:
The perimeter of the triangle is 40.
Step-by-step explanation:
Pythagorean Theorem: If x and y are the leg lengths of a right triangle, then r = √(x^2 + y^2) is the length of the hypotenuse. Alternatively, x^2 + y^2 = r^2.
The side lengths 2x, 4x - 1 and 4x + 1 are already arranged in ascending order. Thus, (2x^)2 + (4x - 1)^2 = (4x + 1).
Performing the indicated operations, we get:
4x^2 + 16x^2 - 8x + 1 = 16x^2 + 8x + 1. Simplify this first by combining like terms:
20x^2 - 16x = 16x^2, or
4x^2 - 16x = 0, or
4x(x - 4) = 0. Thus, x = 0 (which makes no sense here) or x = 4.
The perimeter of the rectangle is the sum of the three sides 2x, 4x - 1 and 4x + 1. Substituting 4 for x, we get
P = 8 + 16 - 1 + 16 + 1, or 40.
The perimeter of the triangle is 40.
factor the polynomial by it's greatest common monomial factor 6x^3+8x^2-4x Help asap please
Answer:
Step-by-step explanation:
Hello,
First term is 2 * 3 * x * x * x
Second term is 2 * 2 * 2 * x * x
Last term is 2 * 2 * x
So we can factorise it as below.
[tex]\boxed{6x^3+8x^2-4x=2x(3x^2+4x-2)}[/tex]
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
The factor should be [tex]2x ( 3x^2 +4x -2 )[/tex]
Given that,
The equation is [tex] 6x^3+8x^2-4x[/tex]Based on the above information, the calculation is as follows:
[tex] 6x^3+8x^2-4x[/tex]
[tex]2x ( 3x^2 +4x -2 )[/tex]
Learn more: https://brainly.com/question/4626564?referrer=searchResults
solo savings bank received an initial deposit of $6000 it kept a percentage of this money in reserve based on the reserve rate and loaned out the rest the amount it loaned out was eventually all deposited back in the bank if the cycle continued indefinitely and eventually the $6000 turned into $200000 what was the reserve rate?
Answer:
Reserve rate = 3%
Step-by-step explanation:
Reserve Ratio = Reserve Maintained with Central Bank / Deposit Liabilities × 100
Reserve maintained = $6,000
Deposit liabilities = $200,000
Reserve Rate = Reserve Maintained with Central Bank / Deposit Liabilities × 1000
=$6,000 / $200,000 × 100
=0.03 × 100
r=0.03 × 100
=3%
Therefore,
Reserve Rate =3%
I NEED IN THE NEXT 10 MIN PLS. GRAPH ATTACHED WILL GIVE BRAINLIEST Use the given graph to determine the limit, if it exists. A coordinate graph is shown with a horizontal line crossing the y axis at five that ends at the open point 2, 5, a closed point at 2, 1, and another horizontal line starting at the open point 2, negative 3 and continues to the right. Find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x..
Answer:
Step-by-step explanation:
You gave very clear instructions on how to draw this graph, so that's what I did. What you need to remember in particular with limits is that you do not care in the least what happens AT the x value of 2, only what happens as it is being approached. Because we are asked the limit as x is approaching from the left and the right, this is a one-sided limit question. In order for the limit to exist as x approaches 2 (NOT from the left or the right), the limit would have to agree from the left and the right, and this one doesn't. Having said that there is "a horizontal line crossing the y-axis at 5 that ends at the open point (2, 5)..." is a limit approaching x from the left. Therefore,
[tex]\lim_{x \to 2^-} f(x)=5[/tex]
Having also said there is "...another horizontal line starting at the open point (2, -3) and continues to the right..." is a limit approaching x from the right. Therefore,
[tex]\lim_{x \to 2^+} f(x)= -3[/tex]
The closed point at (2, 1) is where x IS, and remember that we don't care about what happens AT x. So disregard this point in limits.
Which relation is not a function?
Answer:
A
For something to be a function every x value bust have at most 1 y value and in A 9 has 2 y values so it cant be a function
ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!
Answer:
C. 12 for $6.00
Step-by-step explanation:
Answer:
C. 12 for $6.00
Step-by-step explanation:
better than $13.00 for 24. as that'd be $6.50 for 12..
what is the value of the 8 1,082
Answer:
bbbbklhlhjljkhk
Step-by-step explanation:qwertyuiosdfghnjm,
xcvbnm,.sdfghuijk;m./
Answer:
[tex]\Large \boxed{tens}[/tex]
Step-by-step explanation:
We want to find out what 8 is in the number 1,082.
Let’s see the value of each number.
The 1 in 1,082 is in the one thousand place.
The 0 in 1,082 is in the hundreds place.
The 8 in 1,082 is in the tens place.
The 2 in 1,082 is in the ones place
We wanted to find what the value of 8 is, if you look above.. it says ‘The 8 in 1,082 is in the tens place’
Therefore the value of 8 is in the tens place.
If you have any questions, be free to ask!
Graham uses a hot water bottle on an injury to his back he incurred playing basketball. He fills the bottle with water that is 100°F. After 25 minutes, Graham finds that the bottle has cooled and stops using it. What is the domain and range?
Answer:
Domain= time
Range= temperature
Step-by-step explanation:
Initially hot water cools down over time.
This can be expressed as a function of a temperature by a time. It takes 25 minutes for water to cooled down from 100°F to body temperature.
For any value of the time (from zero to 25 minutes), the temperature has certain value (from 100°F to body temperature). As time value increases, temperature value decreases accordingly.
In this example, time is the domain and temperature is the range.
19 x97 find the product using suitable properties
Answer:
19 x 97 = 1843
On a distant planet, a ball is thrown upwards from ground level, reaching a maximum height of 12m and hitting the ground again in eight seconds. Determine a quadratic equation in the form ax^2 + bx^2+c = 0 that could be used to calculate when the ball is at a height of 3m. Do not solve the equation.
Answer:
(-3 ÷ 4)x^2 + 6x
Step-by-step explanation:
Data mentioned in the question
Maximum height = 12m
Number of seconds = 8
Height = 3m
Depend on the above information, the quadratic equation is shown below:
As it took 8 seconds to hit the maximum altitude and it reverted to the ground floor, this graph also reflects the motion in parabola after 4 seconds, so that the a must be negative
Now it is given that
a × x ^ 2 + bx + c =0
We can considered that
x = 0
x = 8
As {0.8} are intercepts of x
When x = 0, then it is
a × 0 ^ 2 + b(0) + c = 0 .................... (i)
Hence 0 = 0
Now x = 8, it is
a × 8 ^ 2 + b(8) + c = 0
Hence a(8)^2 + b(8) + c = 0 ..................(ii)
As it can be seen that in the first equation c must be zero
Whereas the second equation is
64a + 8b = 0
i.e.
8a = -b or a = -b ÷ 8
Now according to the quadratic function, it presented
(-b ÷8)x^2 + bx + 0
So, the parabola vertex is (4, 12)
Now place this in the place of a
(-b ÷ 8)(4)^2 + b(4) = 12
And for calculating this b, all terms must be multiplied by 8
That appears
-b(16) + 32b = 96
16b = 96
So, b = 6.
As a = -b ÷8
a = -6 ÷ 8
a = -3 ÷4
So, the equation is
= (-3 ÷ 4)x^2 + 6x
Hence, this is the equation
Find f(2) if f(x) = (x + 1)^2
Answer:
9
Step-by-step explanation:
Plug in 2 for x
You should get f(2)=(2+1)^2
Add 2+1 inside the parenthesis to get 3
Finally do (3)^2 to get 9
a 6 meter pole is supported by guy wires that are anchord to the ground as shown. what is sin d?
Answer:
6/6.71
Step-by-step explanation:
If you are given a 6-meter pole that is supported by guy wires that are anchored to the ground, you can create a relationship with respect to sin theta. sin theta is equal to the 6 meters over the slant line supported by the pole. as shown.
help meh wit this bruh♂️
Answer:
a) m∠BPD = 120°
b) m∠BC + m∠AD = 120°
Step-by-step explanation:
a) To solve for question a, we make use of a theorem called the intersecting chord theorem. This states that:
The measure of the angle formed by two chords that intersect inside a circle is the average of the measures of the intercepted arcs.
The Interior angle =( The larger exterior arc + The smaller exterior arcs) ÷ 2
The larger exterior arc (m∠BD) = 170°
The small exterior arc (m∠CA) = 70°
m∠BPD = m∠BD + m∠CA/2
m∠BPD = 170° + 70°/2
= 240°/2
= 120°
b) We are to find m∠BC + m∠AD
The sum of exterior angles in a circle = 360°
360° = m∠BD + m∠CA + m∠BC + m∠AD
360° = 170° + 70° + m∠BC + m∠AD
360° = 240 + m∠BC + m∠AD
360 - 240° = m∠BC + m∠AD
Thererefore,
m∠BC + m∠AD = 120°
Answer:
1. m∠BPD = 120°
2. m∠BC + m∠AD = 120°
Name a real world context to describe the sums of rational numbers.
Step-by-step explanation:
when you are cooking you need to measure fractions of ingredients
Find the number of ordered pairs $(m,n)$ of integers that satisfy \[mn = 2m + 4n.\] [tex]Find the number of ordered pairs $(m,n)$ of integers that satisfy \[mn = 2m + 4n.\][/tex]
There are four pairs (m,n) that work: (5,10), (6,6), (8,4), and (12,3).
solve for k k + (2 - 5k)(6) = k + 12
Answer:
k=0
Step-by-step explanation:
[tex]k+(2-5k)(6)=k+12\\k-30k+12=k+12\\12-12=29k+k\\0=30k\\k=0[/tex]
Answer:
k=0
Step-by-step explanation: