Write the binomial expansion of (t-3)^5
Answer:
Step-by-step explanation:
(t-3)^5 is the same as (t + (-3))^5
First: t starts at the highest power and goes down and (-3) starts at the lowest power and goes up
Second: from the Pascal triangles take the coefficients 1 5 10 10 5 1
[tex]1*t^{5} (-3)^{0} + 5*t^{4} (-3)^{1} +10*t^{3} (-3)^{2} +10*t^{2} (-3)^{3} +5*t^{1} (-3)^{4} +1*t^{0} (-3)^{5}[/tex]
Anything to power 0 is equal to 1
Negative number to an odd power is negative, to a even power is positive
[tex]t^{5} -15t^{4} +90t^{3} -270t^{2} +405t -243[/tex]
Is the answer A B C or D
Answer:
I am not sure but i think it is D
Answer:
B
Step-by-step explanation:
Because angle F is equal angle G, 2x+4=3x. Solving for x, we get 4.
Use the following table to write the ratio of wins to games as a fraction in simplest form.
Wins 24
Games 30
The ratio of wins to games is
Answer:
4 / 5
Step-by-step explanation:
The ratio of wins to games is,
Wins : Games
= 24 : 30
= 24 / 30
= 4 / 5
use factor trees to find the GCF of 15, 25 show your work
Answer:
5 good luck
Step-by-step explanation:
5 is the answer and I can't draw factor trees on a keyboard so yeah
A number is chosen at random from the integers 10 to 30 inclusive. Find the probability that the number is a multiple of 3.
Answer:
For each part, find how many numbers have the stated characteristic, then divide by 21.
e.g. multiples of 5:
these would be 10, 15, 20, 25, and 30
so prob (a multiple of 5 ) = 5/21
Do the others the same way
Answer:
For each part, find how many numbers have the stated characteristic, then divide by 21.
e.g. multiples of 5:
these would be 10, 15, 20, 25, and 30
so prob (a multiple of 5 ) = 5/21
Do the others the same way
can someone help me out with this?
1/8 + 1/4
the least common multiple of 8 and 4 is 8. Convert 1/8 and 1/4 to fractions with denominator 8.
1/8 + 2/8
Because 1/8 and 2/8 have the same denominator, add them by adding their numerators.
1+2/8
add 1 and 2 to get 3
3/8 or 0.375
Also need this answer to pls
Answer:
Set up an equation & solve for X :[tex] \large{ \tt{AC = AB + AC}}[/tex]
[tex] \longrightarrow \large \tt \: 20 = x + 3x[/tex]
[tex] \longrightarrow \large \tt \: 20 = 4x[/tex]
[tex] \longrightarrow \large \tt \: \frac{20}{4} = x[/tex]
[tex] \longrightarrow \large \boxed{\tt \: x = 5}[/tex]
The Value of x is 5 .Hope this helps! :)
the q value moves the graph in q units upward or downward and has ____________ on the _____________ of the parabola
Answer:
Where is graph Hope you understand me
How to find the factor of 6+x-x^(2)
PLS ANSWER TOT
(2 + x)(3 - x)
To factorise a quadratic we first need to think of factors of the number term (The 6).
Factors of 6 are 1 & 6 and 2 & 3.
What combination of addition or subtraction of these factor pairs will produce the second number (which is positive 1x)
3 minus 2 will give us 1, so we will use this pair
Throw up your brackets with the x's and the number pair we chose
(x 2) (x 3)
We chose 3 minus 2
So in our brackets we will put positive 3, negative 2
(x - 2) (x + 3)
bakit ang bababoy ninyo
From professional translators, enterprises, web pages and freely available translation repositories
Please help me, I’m not very good at Pythagorean Theorem. The picture of the problem is attached. Really appreciate it
Answer:
14.4 inStep-by-step explanation:
The diagonal is the hypotenuse of the triangle with sides of 20.8 cm and 30.6 cm.
Find the length of the diagonal using Pythagorean:
[tex]d=\sqrt{20.8^2+30.2^2}=\sqrt{1344.68 } =1344.68 cm[/tex]Convert the length to inches:
36.67/2.54 = 14.4 inAnswer:
37 cm = 14.57 in
Step-by-step explanation:
A rectangle is a 4-sided shape with 2 pairs of congruent, parallel sides (width and length).
All interior angles of a rectangle are 90°.
The diagonal of a rectangle forms 2 congruent right triangles.
Diagonal = hypotenuse of the right triangleWidth and length = legs of the right triangleGiven:
Width of rectangle = 20.8 cmLength of rectangle = 30.6 cmPythagoras Theorem
[tex]a^2+b^2=c^2[/tex]
where:
a and b are the legs of the right trianglec is the hypotenuse (longest side) of the right triangleTherefore:
a = 20.8b = 30.6c = diagonalSubstitute the given values into the formula and solve for c:
[tex]\implies 20.8^2+30.6^=c^2[/tex]
[tex]\implies c^2=1369[/tex]
[tex]\implies c=\sqrt{1369}[/tex]
[tex]\implies c=37\:\:\sf cm[/tex]
Therefore, the length of the diagonal of the rectangle is 37 cm.
Conversion
1 inch ≈ 2.54 cm
To convert the measure of the diagonal to inches, divide 37 cm by 2.54:
[tex]\implies \dfrac{37}{2.54}=14.57 \sf \:in\:\:(2 \: d.p.)[/tex]
what is the aswer ??????
help me pleaseee Im begging youuuuuuuu
Step-by-step explanation:
Hope it’s right
Find the range if the domain of the coordinate transformation f(x,y) = (x + 3, y-2) is
(1,1),(3,-1) and (2,-5).
Answer:
(4, 1), (6, 2), (5, -7)
Step-by-step explanation:
Find the measures of the angles of each triangle (in degrees) and classify the triangle as acute/right/obtuse and scalene/isosceles/equilateral (one from each triple)
A=5x - 10 B = 3x C= 2x - 10
Step-by-step explanation:
given :
A=5x - 10
B = 3x
C= 2x - 10
solution:
A+B+C = 180°
5x - 10 + 3x+ 2x - 10 = 180
10x -20 = 180
10x = 200
x = 20
A = 5(20)-10 = 100-10 = 90°
B = 3x = 3(20) = 60°
C = 2x-10 =2(20)-10 =40-10 = 30°
this is the right triangle and scalene triangle
Round 434,117 to the nearest hundred.
Answer:
434, 100
Step-by-step explanation:
the place value beside the hundreds is under 5 so you round down
pls anyone help!!! i cant do this
Answer:
19% is [ 0-9⅓] couse 1-3 is not the same
Step-by-step explanation:
i hope thats will help
Select all that justify the following statement.
3 + (y + 5) = y + 8
- commutative - addition
- distributive
- associative - multiplication
- symmetric
- commutative - multiplication
- associative - addition
- identity - addition
Decide if this statment true or false The area of a circle is 9 pi if and only if its radius is 3
Answer:
True is the most reasonable than False.
Step-by-step explanation:
If we go by "logic", we know that radius and anything that tells you how long, how far, how tall, etc; the value must always be positive.
The area of circle is expressed as:
[tex] \displaystyle \large{A = \pi {r}^{2} }[/tex]
Where r = radius
Since we know that radius cannot be negative going with logic and real basic geometry, the only radius that satisfies A = 9π is r = 3.
[tex] \displaystyle \large{A = \pi {3}^{2} } \\ \displaystyle \large{A = 9\pi }[/tex]
Now if we do not go by logic of real basic geometry, such as length being negative and all.
Since A = 9π, substitute A = 9π in.
[tex] \displaystyle \large{9\pi = \pi {r}^{2} }[/tex]
Divide both sides by π.
[tex] \displaystyle \large{ \frac{9\pi}{\pi} = \frac{\pi {r}^{2} }{\pi} } \\ \displaystyle \large{ 9 = {r}^{2} }[/tex]
Square both sides, adding plus-minus, apply QE.
[tex] \displaystyle \large{ \pm \sqrt{9} = \sqrt{ {r}^{2} } } \\ \displaystyle \large{ \pm 3 = r}[/tex]
So r = ±3 or radius = +3 and -3
So r can be both 3 or -3 if we do not follow logic itself.
However, the answer should be true instead of false as radius being only positive sounds more logical and reasonable rather than radius being negative.
The advertised price of a new car is p dollars. The dealership is offering a $2000 rebate and a 10% discount
a
off the price of the car.
Answer:
p = $200
HINT: 10% of anything is just when you move the decimal over one to the left ;)
1.
A building has a height of 125 meters and a length of 80 meters. On a scale drawing of the
building, the height is 25 centimeters.
What is the length of the building on the scale drawing in centimeters?
2.
HELP ME PLZZZ
Answer:
16 cmStep-by-step explanation:
Use ratios to solve:
125 m ⇒ 25 cm80 m ⇒ x cmFind the value of x:
x = 80*25/125 = 16The length of the building on the scale drawing for the given context is obtained as: 16 cm.
How are scale drawings formed?For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.
Then it means
[tex]\rm 1\: ft : \dfrac{s}{k}\: in.[/tex]
All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.
For the given case, The height of the building 125 meters was drawn as 25 cm in the scale drawing.
That means:
[tex]\rm 125 \: m : 25 \: cm\\\\1 \: m : \dfrac{25}{125} \: cm\\\\1 \: m :\dfrac{1}{5} \: \rm cm[/tex]
Since the length of the building in reality is 80 meters.
Thus, in scale drawing, it would become:
[tex]\rm 80 \: m = 80 \times 1 \: m : 80 \times \dfrac{1}{5} \: cm = 16 \: \rm cm[/tex]
Thus, The length of the building on the scale drawing for the given context is obtained as being of 16 cm.
Learn more about scale drawing here:
https://brainly.com/question/14671380
Fill in the missing number. % of 70,000 = 35,000
Answer:
50%
Step-by-step explanation:
% of 70,000 = 35,000
35,000/70,000 = 0.5
0.5*100 = 50
50%
The graph of y = x^2 is translated 3 units to the left. The equation for this new graph is:
a) y = (x - 3)^2
b) y = x^2 + 3
c) y = (x + 3)^2
d) y = x^3 - 3
What is 448.1(-0.1)? (5 points)
Answer:
-44.81
Step-by-step explanation:
Answer:
-44.81
Step-by-step explanation:
448.1 · (-0.1) = 44.81 Multiply
A positive number times a negative number = negative number. Now you
need to locate the decimal point in the first number 1 digit after the decimal and in the second number first digit after the decimal. So in your answer from right to left count two places and the decimal will be located between the 4 and 8.
What is the answer for:
4^3x+2< 64??
Answer:
Step-by-step explanation:
Can I have brainliest pls?
Answer:
x<31/32
Step-by-step explanation:
The value of y is directly proportional to the value of x. When x = 4.25, the value of y is 2. What is the value of x when y = 8? *
Answer:
The value of y is directly proportional to the value of x. When x = 4.25, the value of y is 2. What is the value of x when y = 8?
Step-by-step explanation:
Answer:
x = 17 when y = 8
Step-by-step explanation:
Considering the value of y,
→ 8 ÷ 2
→ 8/2 = 4
Now the value of x will be,
→ x = 4.25 × 4
→ [ x = 17 ]
Hence, the value of x is 17.
A line y intercept is 4 and it’s slope is 1/6 what it’s equation in slope intercept from
A soup recipe requires 14 cups of water for every 35 cups of broth. How many cups of water is needed per cup of broth?
Answer:
0.4 cups per cup of broth
Step-by-step explanation:
14 cups of water/35 cups of broth
This is the same as 14 divided by 35
14 divided by 35 is 0.4
Pls help me I need work for this problem
the population of Nigeria is 150million to the nearest 10 million find the range of value