Answer:
D
Step-by-step explanation:
Got it from the person above me
Which of the following is a point-slope equation of a line that passes through
the points (-1,4) and (8, -2)?
O A. y-1--3(x-1)
O B. y 4 = {(x+1)
O C. y-4--(x+1)
O D. y-4--2(x+1)
Answer:
y - 4 = -2/3 (x + 1)
Step-by-step explanation:
y2 - y1 / x2 - x1 -2 - 4 / 8 - (-1) -6/9 = -2/3
y - 4 = -2/3 (x + 1)
Use the first five terms of the binomial theorem to approximate (-1.4)^8
Answer:
14.75789056
Step-by-step explanation:
I think so...
The first five terms of the binomial theorem to approximate (-1.4)⁸ answer would be 14.056.
What is the Binomial Theorem?The binomial theorem states the principle for expanding the algebraic expression (x + y)ⁿ and describes it as the total of the phrases involving the unique exponents of the x and y variables. Each word in a binomial expansion has a coefficient, which is a numerical value.
According to the binomial theorem, it is possible to expand any non-negative power of binomial (x + y) into a sum of the form,
(x+y)ⁿ = ⁿC₀xⁿy₀ + nC₁ xⁿ⁻¹y₁ + nC₂ xⁿ⁻² y2 + ... + nC x¹yⁿ⁻¹ + nCn x°yⁿ
where n ≥ 0 is an integer and each ⁿCₓ is a positive integer known as a binomial coefficient.
Given expression as (- 1.4)⁸
as a result, if you have raised a negative integer to an even power, the response will be positive.
Eliminating the negative sign.
⇒ (1.4)⁸ = (1+0.4)⁸
⇒ 1⁸+8*1⁷*0.4+28*1⁶*0.4²+56*1⁵*0.4³+70*1⁴*0.4⁴
⇒ 1+3.2+4.48+3.584+1.792
⇒ 14.056
If we used one more term we would get 14.62944
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Find the value of x.
r h==ptgggggggggggggggggggggggggggggggggggggggggggggggggggtnnnnnnn
wo large tanks A and B are each partially filled with 100 gallons of salt water. Initially,80 pounds of salt is dissolved in the solution in tank A, and 30pounds of salt is dissolvedin the solution in tank B. The system is closed so that the wellstirred saline solution ispumped only between tanks A and B. The saline solution in tankA travels to tank Balong a pipe at the rate of 3 gallons per minute, and the salinesolution in B travels totank A at the rate of 2 gallons per minute. Write a system of IVPs that will describe theamount of salt,x1, in tank A at timetand the amount of salt,x2in tank B at timet.
At the start, it's given that x₁ (0) = 80 lb and x₂ (0) = 30 lb.
The amounts of salt in either tank change according to
dx₁/dt = (2 gal/min) (x₂/(100 - t ) lb/gal) - (3 gal/min) (x₁/(100 + t ) lb/gal)
dx₂/dt = (3 gal/min) (x₁/(100 + t ) lb/gal) - (2 gal/min) (x₂/(100 - t ) lb/gal)
To break this down a bit, consider tank A, for instance:
• solution flows in from B at a rate of 2 gal/min
• the volume of liquid in tank B after t minutes is
100 gal + (2 gal/min - 3 gal/min) (t min) = (100 - t ) gal
because the tank starts with 100 gallons of liquid, and 2 gallons are pumped in while 3 gal are pumped out each minute
• at any time t, the solution in B contains x₂ pounds of salt
• the concentration of the solution in A is then x₂/(100 - t ) lb/gal
• multiplying this by the inflow rate tells you how much salt is moving around each minute
hello pls help it has to do with shapes and volume. thank u :D
Hi there!
[tex]\large\boxed{r\approx 10.6 cm}[/tex]
Solve for the radius using the pythagorean theorem:
a² + b² = c²
We know the lengths of the hypotenuse and one leg, so:
a = 12
b = ?
c = 16
Plug these into the equation:
12² + b² = 16²
Simplify:
144 + b² = 256
Subtract both sides by 144:
b² = 112
Take the square root:
b ≈ 10.6
Thus the radius is about 10.6 cm.
use the formula v=u+at to find the velocity when the initial velocity is 3m/s2 the time is 7 seconds
Answer:
Step-by-step explanation:
hello
add me on s
ghazalp2186
love xx
and i dont know the answer
Look at this cube:
If the side lengths are doubled, then which of the following statements about its surface area will be true?
HELPPP!!
Rate the following bank accounts from most to least liquid: CD, savings account, checking account, money market
account
a. CD, savings account, checking account, money market account
b. Savings account, checking account, CD, money market account
C. CD, money market account, savings account, checking account
d. Checking account, savings account, money market account, CD
Please select the best answer from the choices provided
OA
OB
О С
OD
Answer:
C
Step-by-step explanation:
There isn’t one
I need help ASAP!!! I don’t get it
Answer:
Reflexion and rotation, then translation
Answered by GAUTHMATH
What digit placed in the blank would make the number 138_ divisible by both 4 and 5
Answer:
The digit that should be placed in the blank is 0.
Step-by-step explanation:
We are given the four-digit number: 138_
And we want to determine the digit that should be placed in the blank to make the number be divisible by both 4 and 5.
A number that is divisible by 5 must end in either 0 or 5. This leaves us with only two options: 1380 or 1385.
Recalling divisibility rules, for a number to be divisible by 4, its last two digits must be divisible by 4.
80 is indeed divisible by 4, while 85 is not.
In conclusion, the digit that should be placed in the blank is 0, with the number being 1380.
Algebra one need help ASAP
Answer:
a=6
Step-by-step explanation:
12-2a=3(a-6)
or,12-2a=3a-18
or,12-5a=-18
or,-5a=-30
or,a=6
hope this helps
Which ordered pair is the best estimate for the solution of this system of linear equations?
A.(-6, -2)
B.(-3, 2)
C. (4,-4)
D. (6,8)
Please help!!! 25 points!!
-72 + (-30) + 10 =
-72-30+10.
-72-30=-102
10-102 is also the same as
-102+10
The final answer is -92
Answer:
-92
Step-by-step explanation:
-72 + (-30) + 10 =
-72+ -30
Since they both have the same sign, add and then take the sign
72+30 = 102 and then take the negative sign
-102
-102+10
They have opposite signs, so we subtract and take the sign of the larger
102 -10 = 92
And 102 was negative so take the negative sign
-92
Please help me solve this guys today is my last day & I’ve been trying so hard
y = x^2 - 3x - 4
Factored Form: y = (x - 4)(x + 1)
X-Intercepts: (4,0) and (-1,0)
Axis of Symmetry: x = 1.5
Vertex: (1.5, -6.25)
Domain: All real numbers
Range: y > -6.25
Hope this helps!
Which statement best describes how to determine whether f(x) = x2 - x + 8 is an even function?
CU
O Determine whether –x2 - (-x) + 8 is equivalent to x2 – X + 8.
Determine whether (-x)2 – (-x) + 8 is equivalent to x2 – X + 8.
O Determine whether -x2 - (-x) + 8 is equivalent to -(x2 - X + 8).
O Determine whether (-x)2 – (-x) + 8 is equivalent to -(x2 – X + 8).
THIS IS 60 POINTS BTW
Answer:
2nd option
Step-by-step explanation:
If f(x) is an even function , then
f(x) = f(- x)
f(x) = x² - x + 8
f(- x) = (- x)² - (- x) + 8 = x² + x + 8
Since f(x) ≠ f(- x) then f(x) is not an even function
1.2 m
1.2 m
Susie is 1.13 metres tall
She has a play tent in the shape of a triangular prism.
The diagram shows the front view of the tent.
The front of the tent has been drawn to scale below.
a) Complete the scale drawing.
1.5m
Not drawn accurately
b) Can Susie stand up in the
middle of the tent?
1.5m
Scale: 1 cm represents 60 cm
Split the triangle into 2 right in the middle so you have 2 identical right triangles. The base on one would be half the base of the triangle shown so, the base would be: 1.5/2 = 0.75 m.
Now using the Pythagorean theorem you can find the height:
Height - sqrt(1.2^2 - 0.75^2)
Height = sqrt(1.44 - 0.5625)
Height = sqrt(0.8775)
Height = 0.93675 meters
The height of the tent is smaller than the height of Suzie so she cannot stand up.
Can SOMEONE PLEASE HELP ME? I really need to get this work done by tonight. PLEASE
if 5 hockey balls and 3 sticks cost $230.00 and 5 balls and 2 sticks cost $200 how much does one hockey ball cost?
step by step explanation:
Answer:
$28.
Step-by-step explanation:
We have the system of equations
5b + 3s = 230 (b = cost of 1 ball and s = cost of 1 stick).
5b + 2s = 200
Subtract the above from the first equation:
s = 30
So, substituting in equation 1:-
5b + 3(30) = 230
5b = 230 - 3(30) = 140
b = 28.
Checking in equation 2:-
5(28) + 2(30)
= 10 + 60
= 200.
- this checks out OK.
The cost of one hockey ball will be $28.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The system of equations from the given data are:-
5b + 3s = 230 (b = cost of 1 ball and s = cost of 1 stick).
5b + 2s = 200
Subtract the above from the first equation:
s = 30
So, substituting in equation 1:-
5b + 3(30) = 230
5b = 230 - 3(30) = 140
b = 28.
Therefore, the cost of one hockey ball will be $28.
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Pls help
.
Z
Z
Z
Z
Z
Z
Z
Z
A
Answer:
20.2 feet
Step-by-step explanation:
Using Pythagoras theorem, we have
Height^2+13^2=24^2, height=sqrt(407)=20.2
Select All the correct answers
Select all the statements that are true for the following systems of equations.
System A
2x-3y=4
4x.y = 18
System B
3x - 4y 5
y = 5x + 3
System C
2x-3y - 4
12x-3y 54
1. All three systems have different solutions.
2. Systems A and B have different solutions
3. Systems A and C have the same solution
4. Systems B and C have the same solution
5. System C simplifies to
2x - 3y = 4 and 4x - y = 18 by dividing the second equation by three
Answer:
a
Step-by-step explanation:
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Can someone please help me solve this ?
answer:
-1
here's the explanation below :))
A box contains two purple marbles nine orange marbles and seven yellow marbles if you pick two without looking what is the probability that both will be orange
Answer:
1/4
Step-by-step explanation:
First, add up the marbles:
2 + 9 + 7 = 18
Multiply by 2 because you pick two:
18 × 2 = 36
Simplify:
9/36 = 3/12 = 1/4
Hope this helped.
If a change dispenser contains 32 coins consisting of
only dimes and quarters worth $5.15, how many
dimes are in the dispenser?
=================================================
Work Shown:
d = number of dimes
q = 32-d = number of quarters
$5.15 = 515 cents
10d+25q = 515
10d+25(32-d) = 515
10d+800-25d = 515
-15d+800 = 515
-15d = 515-800
-15d = -285
d = -285/(-15)
d = 19
There are 19 dimes. You can stop here if you want.
q = 32-d = 32-19 = 13
There are 13 quarters
-------------------------------
Check:
1 dime = 10 cents
19 dimes = 19*10 = 190 cents
1 quarter = 25 cents
13 quarters = 13*25 = 325 cents
total value = 190 cents + 325 cents = 515 cents = $5.15
The answer is confirmed.
The curved part of this figure is a semicircle.
What is the best approximation for the area of this figure?
18+24.25π units²
18+12.125π units²
36+24.25π units²
36+12.125π units²
Answer:
carna estralia con frema es 36+12.125tt ernits es answeana
Step-by-step explanation:
Answer:
18+12.125π units²
Graph the exponential function.
f(x)=3/2(2)^x
Plot five points on the graph of the function. Then click on the graph-a-function button.
[tex] \bf \: f(x) = \frac{3}{2} \times {2}^{x} \\ \\ = > \bf \: f(0) = \frac{3}{2} \times {2}^{0} = \frac{3}{2} \times 1 = \frac{3}{2} = 1.5 \\ \\ = > \bf \: f(1) = \frac{3}{2} \times {2}^{1} = 3 \\ \\ = > \bf \: f(2) = \frac{3}{2} \times {2}^{2} = 6 \\ \\ = > \bf \: f( - 1) = \frac{3}{2} \times {2}^{ - 1} = \frac{3}{2} \times \frac{1}{2} = \frac{3}{4} = 0.75 \\ \\ = > \bf \: f( - 2) = \frac{3}{2} \times {2}^{ - 2} = \frac{3}{2} \times \frac{1}{4} = \frac{3}{8} = 0.375[/tex]
Is this table a function why or why not?
Answer:
yes
Step-by-step explanation:
functions have one input for every output.
the input side has unique and individual numbers therefore it's a function.
Tommy types 54 words per minute, with an average of 3 mistakes. How many mistakes would you expect Tommy to make if he typed 300 words?
Answer:
around 17 mistakes
Step-by-step explanation:
We can write a ratio to solve
54 words 300 words
------------------ = -------------------
3 mistakes x mistakes
Using cross products
54x = 3*300
54x = 900
Divide by 54
54x/54 = 900/54
x =50/3
x = 16.66666666(repeating)
around 17 mistakes
X = mistakes in 300 words
54/3 = 300/X
54X = 3 x 300
X = 900/ 54
X = about 17 words, since 16 and 2/3 rounded to the nearest tenth is 17
Need help ! Help needed very much !
Answer:
x/2 > 5
Step-by-step explanation:
Quotient means division
x/2
is more than means greater
x/2 > 5
ji and jl are opposite rays
Help needed fast!!!
Answer:
The answer is A
Step-by-step explanation:
It has to exceed not be same or equal to