Answer:
20v2−40v+20
Step-by-step explanation:
=(4v+−4)(5v+−5)
=(4v)(5v)+(4v)(−5)+(−4)(5v)+(−4)(−5)
=20v^2−20v−20v+20
= 20v^2-40v+20
You can easily do this by using the FOIL method.
F - first - in this case, 4v and 5v
O - Outside - in this case, 4v and -5
I - Inside - in this case, -4 and 5v
L - Last - In this case, -4 and -5
Then you find the like terms and add them together and then you have your answer which is also in standard form.
convert -√3-i to polar form
Answer:
r
sin
θ
=
−
3
Step-by-step explanation:
,
Answer:
2cis (7pi/6)
Step-by-step explanation:
solve this problem as a fraction in the lowest terms
Answer:
[tex]\frac{1}{16}[/tex]
Step-by-step explanation:
Answer:
[tex]\frac{1}{16}[/tex] is the answer
Step-by-step explanation:
you have to evaluate [tex](7-3)^{-2}[/tex] and the answer comes up to [tex]\frac{1}{16}[/tex]
repost of my question i need help quicklyy help plzz
Answer:
According to logarithmic properties.... The right hand side can be written as
log base 7 (180/3).....which is log base 7 60
So according to the question cancel out the log base 7 from both sides....
Then we get 8r + 20 = 60
That is 8r = 40..
That is r = 5......
Therefore the value of r is 5
PLS HELP
At the end of the season, 4 basketball teams in a league are having a pizza party at a restaurant.
Team Number of People
Sharks 17
Wolves 21
Tigers 20
Hawks 17
Coaches 9
The restaurant manager suggests that they order one pizza for every 6 people. How many pizzas
should they order?
HELP MEEE PLEASE
Gilligan sees a ship coming close to the shore he's standing on. He wants to
determine the distance (SD) from the ship to the shore. He walks 130 ft along the
shore from point D to point C and marks that spot. Then he walks 23 ft further and
marks point B. He turns 90 and walks until his location (point A), point C, and point
S are collinear.
o
Answer the following questions making sure to show all your work.
(a) Can Gilligan conclude that triangle ABC and triangle SDC are similar? Why or why
not?
(b) Suppose AB = 90 ft. What can Gilligan conclude about the distance of the ship
from the shore? Explain.
The triangles ABC and SDC are similar triangles
Gilligan can conclude that triangles ABC and SDC are similarGilligan can conclude that the distance of the ship from the shore is 509 ftHow to determine if the triangles are similarFrom the question, we understand points S, C and A are collinear, while line AB and SD are vertical and parallel lines at the either sides of point C.
Hence, Gilligan can conclude that triangles ABC and SDC are similar
How to calculate the distance SD
To do this, we make use of the following equivalent ratio
[tex]SD : 130 = AB : 23[/tex]
Substitute 90 for AB
[tex]SD : 130 =90 : 23[/tex]
Express as fraction
[tex]\frac{SD}{130} =\frac{90}{ 23}[/tex]
Make SD the subject
[tex]SD =\frac{90}{ 23} * 130[/tex]
[tex]SD =509[/tex]
Hence, Gilligan can conclude that the distance of the ship from the shore is 509 ft
Read more about similar triangles at:
https://brainly.com/question/14285697
This year I caught 30 fish, which is 6 more than twice the number I caught last year. How many did I catch last year
Blake bought a new car. He borrowed $12,500 from the bank. After 4 years he had paid off the loan and paid $1500 in interest. What rate did he borrow at? Include the steps you used to solve the problem and your answer
Answer:
3%
Step-by-step explanation:
Blake bought a new car. He borrowed $12,500 from the bank. After 4 years he had paid off the loan and paid $1500 in interest. What rate did he borrow at?
This is a simple interest question
The formula to find the rate is given as:
Equation:
r = (1/t)(A/P - 1)
t = time = 4 years
P = Principal = $12500
I = Simple Interest = $1500
A = Total Amount = Principal + Simple Interest = $12500 + $1500
= $14000
Calculation:
Solving our equation:
r = (1/4)((14000/12500) - 1) = 0.03
r = 0.03
Converting r decimal to R a percentage
R = 0.03 * 100 = 3%/year
HELP MEEEEEE!!!!!!
The steelers won twice as many games as they lost. they played 33 games. how many games did they win?
Why can you take the cube root of a negative number?
Answer:
you can because the real cube root of any negative real number is negative.
Step-by-step explanation:
Answer: The reason that we can't have the square (or quartic) root of a negative number is that two negatives always cancel to give a plus; so the square root of a negative number is undefined. ... The Real cube root of any negative Real number is negative.bc. a negativ number multiplied by it self 3 time result negativ too
hope this helps ❤️
Step-by-step explanation:
a bag contains 4 blue and 6 green marbles. two marbles are selected at a random from the bag. if the first marble is not replaced before the second marble is drawn
Answer:
4 ÷ 10
Step-by-step explanation:
The computation of P is shown below:
If we add two marbles i.e.
= 4 + 6
= 10 marbles
Now if we draw the second marble
P(blue) = Blue marbles ÷ total marbles
= 4 ÷ 10
In the other case
P( blue second given a green first) = 4 ÷ 10
what is a-5/245
Don't hate but be truthful do this boy look good ra-te him plz and rate the other guy to no homo
Answer:
Trippin trippin
Step-by-step explanation:
Like frfr Trippin trippin
Just solve Ex: 16, 17, 19, 20 please! I don't know them
Answer:
The order of arithmetic calculations is
B - Bracket
O - off
D - Division
M - Multiplication
A - Addition
S - Subtraction
Use this to solve
whats the slope for this added picture
Answer:
m=2
Step-by-step explanation:
m = slope
(x_1, y_1) = coordinates of first point in the line
(x_2, y_2) = coordinates of second point in the line
4(v+7) = -6(3v-4) +8v
Answer:
v=−27
Step-by-step explanation:
Since v is on the right side of the equation, switch the sides so it is on the left side of the equation.
−6(3v−4)+8v=4(v+7)
Simplify −6(3v−4)+8v
−10v+24=4(v+7)
Simplify 4(v+7).
−10v+24=4v+28
Move all terms containing v to the left side of the equation.
−14v+24=28
Move all terms not containing v to the right side of the equation.
−14v=4
Divide each term by −14 and simplify.
v=−27
The result can be shown in multiple forms.
Exact Form:
v=−27
need help with this question
A car is moving along Highway 138 according to the given equation, where x meters is the directed distance of the car from a given point P at t hours. Find the values of t for which the acceleration is zero, and then find the position of the car at this time.
x = 1/4t^3 + 1/6t^3 - t^2+ 1
Answer:
1111¹5&-78+&%%567;!9098888
6) Walmart and Target are having deals on Barbie dolls. Walmart is selling 8 dolls for $120 and Target is selling 6 dolls for $102. Which store has the better deals on Barbie dolls? Explain how you know
Answer:
Walmart has the better deal
Step-by-step explanation:
If you do $120/8 dolls you get $15 for each doll at Walmart. If you do $102/6 dolls you get $17 for each doll. You know $15 is less than $17 making it cheaper and a better deal. Target's dolls are $2 more than Walmart. $17-$15=$2
Loris has one of each of the following colours of felt-tip pen in her pencil case:
red (R) blue (B) yellow (Y) green (G) purple (P)
She pulls out two random pens.
How many different combinations of pairs of colours are there?
there are 10 different combinations of pairs of colors.
What is the combination?Combinations are ways to choose elements from a collection in mathematics where the order of the selection is irrelevant. Let's say we have a trio of numbers: P, Q, and R. Then, combination determines how many ways we can choose two numbers from each group.
Given, Loris has one of each of the following colors of felt-tip pen in her pencil case: red (R) blue (B) yellow (Y) green (G) purple (P) She pulls out two random pens.
from the formula of combination;
total combination ⁿCₓ = [tex]\frac{n!}{(n-r)! * r!}[/tex]
Where, n = total numbers
r = desired number out of total
In our case
n = 5 and r = 2
Thus, the Total combination = ⁵C₂
Total combination = 5! / (3! *2!)
total combination = 5 *4 /2 = 10
therefore, There are ten distinct ways to pair the colors together.
learn more about combination here:
https://brainly.com/question/13387529
#SPJ2
If x^2 + y^2 = 10 and xy = -3, what is the value
of (x - y)^2?
A) 12
B) 16
C) 20
D) 25
Answer:
Step-by-step explanation:
[tex]xy=-3,\ x=-\frac{3}{y}\\ \\ x^2+y^2=10\\ \\ \frac{9}{x^2}+x^2=10\\ \\ x^4+9=10x^2\\ \\ x^4-10x^2+9=0\\ \\ (x^2-1)(x^2-9)=0\\ \\ (x-1)(x+1)(x-3)(x+3)=0\\ \\ x=-3,-1,1,-3\ y=1,3,-3,-1\\ \\ (x-y)^2\\ \\ (-3-1)^2=(-4)^2=16[/tex]
Find the value of √14/6
Answer:
0.62360956 is the answer to this question.
4/5(p+1)=1 wgat equals p
Answer:
p= 1/4 or 0.25
Step-by-step explanation:
Answer:
p = 1/4 or .25
Step-by-step explanation:
We first multiply by the reciprocal of fraction to move to the other side.
[tex]p + 1 = \frac{5}{4} [/tex]
Reduce
p = 1/4
Renting a tool form Store A costs $9.75 per hour plus a fee of $188.55. Renting the same tool
form Store B costs $15.99 per hour with no additional fee. Which inequality could be
used to
find the minimum number of hours, h, a tool must be rented so that the cost of renting the tool
at Store A is less then the renting it at Sore B?
F 188.55 > 15.99 + 9.75h
G 15.99h > 188.55 + 9.75h
H 9.75h < 188.55 + 15.99h
J 15.99h < 188.55h + 9.75
Answer:
G 15.99h > 188.55 + 9.75h
Step-by-step explanation:
PLEASE HEEEELPPPP ASAP
Answer:
The solution of the first image is: b = √48
The solution of the second image is: c = √125
Step-by-step explanation:
Here we have two triangle rectangles, first, we need to remember the Pythagorean theorem.
For a triangle rectangle with cathetus A and B, and a hypotenuse H, we have the relationship:
A^2 + B^2 = H^2
Where H is the side that is opposite to the right angle (the angle of 90°)
In the first image, we can see that the hypotenuse is equal to 8, and one cathetus is equal to 4.
We want to find the value of b, that is the other cathetus.
Then we have:
4^2 + b^2 = 8^2
b^2 = 8^2 - 4^2
b^2 = 48
b = √48
Second image:
in this case, c is the hypotenuse, a and b are the cathetus.
We know that:
a = 5, b = 10
Then we have the equation:
a^2 + b^2 = c^2
Now we can replace the above values:
5^2 + 10^2 = c^2
25 + 100 = c^2
125 = c^2
√125 = c
Help I am in fourth :(
Answer:
7.6= 76 x 10 to the power of 1
760= 76 x 10 to the power of 1
7600= 76 x 10 to the power of 2
Step-by-step explanation:
An isosceles triangle has base 56 mm and
perpendicular height 45 mm
45 mm .
Work out the perimeter of the large triangle.
THE BASE OF THE LARGE TRIANGLE IS 168 Give your answer in mm.
Your final line should say, perimeter = ... m
Answer:
Step-by-step explanation:
Draw the altitude from the vertex angle to the base. You have two congruent, right triangles. The hypotenuse of each triangle is
√[(56/2)²+45²] = √[28²+45²] = √2809 = 53 mm
perimeter of larger triangle = 2×53 + 56 = 162 mm
NEED HELP ASAP! 15 POINTS!
Students took a survey to determine their end of year field trip. The results showed that 120 students wanted to go to an amusement park. This number represents 40% of the students who took the survey. What was the total number of students who took the survey?
---
1. 160
2. 250
3. 300
4. 310
---
Answer:
300
Step-by-step explanation:
120 is 40%
40% plus 40$ = 120+120=240
20% left.
120/2=60
240+60=300
300=answer
What is 4/5 times 7/12
Answer:
[tex]\frac{28}{60}[/tex]([tex]\frac{7}{15}[/tex])
Step-by-step explanation:
b/c 4/5*7/12
means 4*7 and 5*12
then28/60
hope it's helpful
THANK YOU.
A cyclist averages 11 miles per hour. How many miles does the cyclist ride in 4.5 hours?
Which number has only two factors?
A: 6
B: 8
C: 9
D: 11
Answer:
D) 11 cause it is only found form multiplying 1 and 11
Factorise:
3x^2-2x-5
Answer:
( 3[tex]x[/tex] - 5 ) ( [tex]x[/tex] + 1 )
Step-by-step explanation:
[tex]3x^{2}[/tex] - 2[tex]x[/tex] - 5
(Multiply 3 from [tex]3x^{2}[/tex] with -5)
Product = -15
Sum = -2
(3 times - 5 gives the product '-15' and 3 plus -5 gives the sum -2)
[tex]3x^{2}[/tex] + 3[tex]x[/tex] - 5
3[tex]x[/tex] ( [tex]x[/tex] + 1 ) - 5 ( [tex]x[/tex] + 1 )
= ( 3[tex]x[/tex] - 5 ) ( [tex]x[/tex] + 1 )