Answer:
[tex]({2x}^{2} )^{3} \times ( - {x}^{4} )[/tex]
[tex] {2x}^{6} \times ( - {x}^{4} )[/tex]
[tex] - {2x}^{6 + 4} [/tex]
[tex] - {2x}^{10} [/tex]
hope it helps you :)
If x=3, what is the value of the following expression?
3x² + 2
Answer: -27
Step-by-step explanation:
If x = —3, what is the value of — 3x23x2?
(A) —27
(B) —18
(C) 18
(D) 27
(E) 81
Your welcome, mind pressing the gold crown down below it will help me out alot ...
Answer:
29
Step-by-step explanation:
substitute the value of x in the equation 3x^2+2= 3(3×3) + 2 =3×9+2 =27+2=29.....
answer the question please
[tex] \huge \rm{Answer:}[/tex]
#1.
BD = CE (given)
∠BDC = ∠ CEB (each 90° as BD and CE are altitudes)
BC = BC (common)
[tex] \\ [/tex]
#2.
Yes, ∆CBD ≅ ∆BCE
(by RHS congruence)[tex] \\ [/tex]
#3.
Yes, ∠DCB = ∠EBC by [C.P.C.T.]
[tex]_______________________________________________[/tex]
[tex]{ \boxed{\underline{ \tt{March \: 15, 2022 \: || \: 2:51 \: PM}}}}[/tex]
Answer:
#1.
BD = CE (given)
∠BDC = ∠ CEB (each 90° as BD and CE are altitudes)
BC = BC (common)
#2.
Yes, ∆CBD ≅ ∆BCE
(by RHS congruence)
#3.
Yes, ∠DCB = ∠EBC by [C.P.C.T.]
What is the area of a rectangle with a length of 3 1/3 feet and a width of 1 2/3 feet?
Answer:
area =l×b
= 3⅓ × 1⅔
= 10 × 5
3. 3
50
9
= 5.56feet²
Find the area of the following square. Write your answer in simplest form. Area is 3 2/3
A bucket holds 480 ounces(oz) of water when full. Unfortunately, the bucket has a small hole in it, and is losing 4.8 oz of water per minute. In how many minutes will the bucket be 80% full?
Answer:
20 minutes
Step-by-step explanation:
80% of 480 is 384
480 x .80 = 384
4.8 x 20 = 96
A dilation is applied to a triangle such that the sides of the image are 1.5 times the length of their corresponding sides in the original triangle.
Then the angles of the image must be 3 times the size of the corresponding angles in the original triangle.
Then the angles of the image must be 1.5 times the size of the corresponding angles in the original triangle.
Then the angles of the image must be congruent to the corresponding angles in the original triangle.
Then the angles of the image must be two-thirds the size of the corresponding angles in the original triangle.
Answer: Then the angles of the image must be 3 times the size of the corresponding angles in the original triangle.
Tomas learned that the product of the polynomials [tex](a+b)(a^2-ab+b^2)[/tex] was a special pattern that would result in a sum of cubes, [tex]a^3+b^3[/tex].
His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if [tex]a=2x[/tex] and [tex]b=y[/tex].
We are provided , Tomas learned that a³ + b³ = (a + b ) ( a² - ab + b² ) , and his teacher writes four products on the board and we have to tell that which product suits the best if a = 2x and b = y
Now , putting a = 2x , b = y in the given formula we have :
[tex]{:\implies \quad \sf (2x)^{3}+(y)^{3}=(2x+y)\{(2x)^{2}-2\cdot x\cdot y+(y)^{2}\}}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{(2x)^{3}+(y)^{3}=(2x+y)(4x^{2}-2xy+y^{2})}}}[/tex]
Hence , The product (2x+y) (4x²-2xy+y²) would result in the sum of cubes of 2x & y :D
The expressions below model different possibilities for the area of a pool. Identify which of the following expressions have at least the one zero greater than 4.
X^2+11x+30
X^2-5x-14
X^2+5x-24
X^2-5x+6
========================================================
Explanation:
Use a graphing tool like GeoGebra, Desmos, or your graphing calculator to plot each expression given as a separate y equation. Four parabolas should result.
The x intercept is the same as the root or zero of a function.
You should find that only choice B has a root thats larger than 4. That specific root being x = 7.
----------------------------
A non-graphing approach:
You can use the quadratic formula or the factoring method to find the roots.
For choice A, it factors to (x+5)(x+6) = 0. The roots are x = -5 and x = -6 which aren't greater than 4. So we cross choice A off the list. Choices C and D are similar stories.
On the other hand, choice B factors to (x-7)(x+2) = 0 and it has roots of x = 7 and x = -2. This is another way to see why choice B is the answer.
Here are the steps for the quadratic formula for choice B
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-5)\pm\sqrt{(-5)^2-4(1)(-14)}}{2(1)}\\\\x = \frac{5\pm\sqrt{81}}{2}\\\\x = \frac{5\pm9}{2}\\\\x = \frac{5+9}{2} \ \text{ or } \ x = \frac{5-9}{2}\\\\x = \frac{14}{2} \ \text{ or } \ x = \frac{-4}{2}\\\\x = 7 \ \text{ or } \ x = -2\\\\[/tex]
The quadratic formula is handy in case factoring is either not possible, or guess-and-check is too lengthy of a process. As you can probably tell, we could use the quadratic formula's results to help construct the factored form.
if you do this for me I'll love you forever!!!!
Answer:
1: B
2: H
3. C or D (it's hard to tell, especially without an equation)
4. J
5. A
6. G
7. B
Step-by-step explanation:
1:
f(x) - g(x)
(x^2 + 8x) - (3x - 5) Distribute the negative
x^2 + 8x - 3x + 5 Combine like terms
x^2 + 5x + 5
2:
f(g(x))
Plug g(x) into f(x)
(2x - 1)^2 - 3
Immediately we can see that there will be a 4x^2 (because 2x times 2x = 4x^2) so we know the answer will be H because that's the only option with 4x^2
3:
The line starts at -4 on the x axis and goes infinitely to the right so everything greater than (and maybe equal to) -4.
On the y axis, the line starts at 0 and goes infinitely up so everything greater than (and maybe equal to) 0.
4:
To find the inverse of a function:
f(x) -> y
Switch x and y
Solve for y again
x = 3 +5y
x-3 = 5y
(x-3)/5 = y
5:
If option A were inverse functions, h(x) would be
x = 2y + 9
x - 9 = 2y
(x-9)/2 = y
Which could also be written as (1/2)x - 9/2 or (1/2)x - 4.5 but not (1/2)x - 9
6:
As y approaches -1, x approaches 1. Going the other direction,
As y approaches positive infinity, x approaches positive infinity.
7:
The number inside directly affecting the x moves the function left and right (left is positive, right is negative). The number outside moves the function up and down. So (x + 4) moves it left 4 and the +1 moves it up 1.
how do you solve 1 1/2 × ( − 6/15 ) =?
Answer:
1.5 x -0.4 = -0.6 or -6/10 or -3/5
Step-by-step explanation:
1 1/2= 3/2x(-6/15)
3/2 = 1.5 -6/15 = 0.4
1.5 x -0.4 = -0.6 or -6/10 or -3/5
Please helppp!
find the surface area of the triangular prism.
2cm
5cm
6cm
4cm
3cm
6cm
Answer:
82 cm^2
Step-by-step explanation:
First, find the formulas for the areas of all of the shapes shown
area of rectangles = base * height
area of triangle = 1/2 * base * height
for the triangle at the top, area = 1/2 * 5 * 2 = 5 cm^2
for the bottom triangle, area = 1/2 * 5 * 2 = 5 cm^2
for the left rectangle, area = 6 * 3 = 18 cm^2
for the middle rectangle, area = 5 * 6 = 30 cm^2
for the right triangle, area = 4 * 6 = 24 cm^2
add all of these together
5 + 5 + 18 + 30 + 24 = 82 cm ^2
A cylinder has a volume of 157 cubic centimeters.
Find the height of the cylinder if its radius is 2.5 cm. Show
work. (2 pts)
Answer:
4.47100222
Step-by-step explanation:
157/2.5=62.8
62.8/pi= 19.98986085
square root the answer above and you get 4.47100222 for the radius
ABCD and PQRS are rectangles. O is the centre of both rectangles. AC is a straight line passing through P, Q and R. BD is a straight line passing through Q, R and S. PQ=8cm and QR=2cm. The perimeter of rectangle ABCD is 60cm. Work out the length of AB and the length of BC.
Answer: See below
Step-by-step explanation:
ΔPQR ≈ ΔABC because PR & AC are same line
So PQ ║ AB & QR ║ BC
In equation form: PQ / AB = QR / BC
8/AB = 2/BC
AB = 4BC
Perimeter of ABCD rectangle = 2(AB + BC)
= 2(4BC + BC)
= 10BC
Perimeter of the rectangle = 60 cm
In equation form: 10BC = 60
BC = 6 cm
AB = 4BC = 24 cm
Length of AB = 24 cm & length of BC = 6 cm
Help
I don’t understand
Answer:
d
Step-by-step explanation:
If you look up the definition on the internet it says causing great and irreparable harm or damage. so i believe its d causing a great amount of damage! ^.^ may i have brainliest?
6. Ava had a rough day on the stock market. Her stocks dropped in value to
one third of what they used to be. If she currently has $140,000 in stock
value, how much were her stocks worth yesterday?
Answer:
420,000
Step-by-step explanation:
If 140,000 is [tex]\frac{1}{3}[/tex] of what she had yesterday, then you just multiply the number by 3 because [tex]\frac{1}{3}[/tex] times 3 is [tex]\frac{3}{3}[/tex], which is 1.
What is the identity number of addition and multiplication?.
Answer:
Step-by-step explanation:
Identity number of addition is 0
5 + 0 = 5
0 + 3 = 3
Identity number of multiplication is 1
5 *1 = 5
1 * 15 = 15
Find the value of the following expression:
(3∧8 ⋅ 2∧−5 ⋅ 9∧0)−2 ⋅ 2 to the power of negative 2 over 3 to the power of 3, whole to the power of 4 ⋅ 328 (5 points)
Write your answer in simplified form. Show all of your steps. (5 points)
Answer:
The radicand may not always be a perfect square. If a positive integer is not a perfect square, then its square root will be irrational. Consider 5–√ , we can obtain an approximation by bounding it using the perfect squares 4 and 9 as follows:
Step-by-step explanation:
pls brainliest
If John takes 2 hours to travel 20km,how many kilometers does he travel in 6 hours?
Answer:
60km
Step-by-step explanation:
There are two ways to look at this
1. Finding the unit rate
We can find how many km he travels in 1 hour by diving both the hours and km by 2. 1 hour = 10km so 6 hours is 60km since we multiply by 6.
2. Multiply by 3
We can multiply both the km and hours by 3, since 2x3=6 hours
20km * 3 hours = 60km
R560 invested at 8% p.a. simple interest for 3 years
Answer:
R 694.4
Explanation:
simple interest = [tex]\sf{\dfrac{PRT}{100}[/tex] → [tex]\sf \dfrac{560*8*3}{100}[/tex] → R 134.4
where p refers to principal, r refers to rate, t refers to time.
total money:
invested money + simple interest
R 134.4 + R 560 → R 694.4
Answer:
R 694.40
Step-by-step explanation:
Simple interest formula:
A = P(1 + rt)
where A is the final amount, P is the initial principal balance, r is the annual interest rate (in decimal format), and t is time (in years)
Given:
P = 560r = 8% = 0.08t = 3⇒ A = 560(1 + 0.08 · 3)
⇒ A = 560(1.24)
⇒ A = 694.40
Find the perimeter of the triangle, round to the nearest tenth
perimeter=2l+2b
perimeter=80=2l(10mm)
perimeter=80=2l+20
perimeter 22
Show why x−3 is a factor of m(x)=x3−x2−5x−3. Justify your answer. You can show this using remainder theorem, long division, synthetic division or any method you choose.
The factors of a polynomial function are the zeros of the function
It is true that x - 3 is a factor of m(x) = x^3 - x^2 - 5x - 3
How to show why the x - 3 is a factorThe function is given as:
m(x) = x^3 - x^2 - 5x - 3
The factor is given as:
x - 3
Set the factor to 0
x - 3 = 0
Solve for x
x = 3
Substitute 3 for x in the function
m(3) = 3^3 - 3^2 - 5(3) - 3
Evaluate
m(3) =0
Since the value of m(3) is 0, then x - 3 is a factor of m(x) = x^3 - x^2 - 5x - 3
Read more about factors at:
https://brainly.com/question/11579257
I have 12 more nickels than quarters. It the coins are worth $5.40, then how many of each type
of coin do I have?
Answer:
You have 16 quarts and 28 nickels lol
Step-by-step explanation:
Answer:
16 quarters and 28 nickels
Step-by-step explanation:
Because...
1 quarter=25 cents of so if you have 16 quarters that=4.00$
2 if there are 12 more nickels then there are 28 nickels.
1 nickle=5 cents. so what is 28 x 5=1.40$
Then add 4.00$+1.40$=5.40$ and there is your answer.
Hope this helps have a great day:)
please help I need to complete 15 points, 5 stars, brainliest if possible
Find the measure of the indicated angle in each triangle
47
86
180
133
Answer:
47°
Step-by-step explanation:
86°+47°+F=180° (reason : sum of angles in a triangle)
133°+F=180°
Collect like terms
F=180°-133°
F=47°
Question 7 of 10
Which of the following best describes the slope of the line below?
Answer:
its A
Step-by-step explanation:
About how many cells are in the human body? HELPP!!!!
You can assume that a cell is a sphere with radius 10-3 cm and that the density of a cell is approximately the density of water which is 1g/cm3.
Answer:
there are 37.2 trillion cells in the human body
1g/cm3.
Step-by-step explanation
A toy was bought for Rs.564 thereby profit 12%. Find the SP of the toy
Answer:SPssp=631.68
Step-by-step explanation:
The verbal subtest of the GRE has a population mean of 500 and a population standard deviation of 100 by design (the quantitative subtest has the same mean and standard deviation).
a. Convert the following z scores to raw scores without using a formula:
(i) 1.5,
(ii) -0.5,
(iii) -2.0.
b. Now convert the same z scores to raw scores using symbolic notation and the formula:
(i) 1.5,
(ii) -0.5,
(iii) -2.0.
The z scores of 1.5, -0.5 and -2.0 corresponds with a raw score of 650, 450 and 300
What is z scoreZ score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (x - μ) / σ
Where x = raw score, μ = mean and σ = standard deviation.
Given that σ = 100, μ = 500, hence:
a) For z = 1.5:
1.5 = (x - 500)/100
x = 650
b) For z = -0.5:
-0.5 = (x - 500)/100
x = 450
c) For z = -2:
-2 = (x - 500)/100
x = 300
The z scores of 1.5, -0.5 and -2.0 corresponds with a raw score of 650, 450 and 300
Find out more on z score at: https://brainly.com/question/25638875
Factoring polynomials. Please help I suck at factoring (especially polynomials) Ill give brainiest too
the two numbers are -36 and -2.. thier product is 72 but thier sum is -38..
this one took me time lol
Can Anyone help me with this one?
Answer:
1. D
2. A
3. B
4. C
5. i am not sure
Step-by-step explanation:
Hope This Helps!!!
Multiply: 3x4=
and 2 x 3 =
Answer:
12 and 6
Step-by-step explanation:
3x4 is 12
2x3 is 6
Answer:
3x4=12 2x3=6
Step-by-step explanation:
how do i solve this??
5x - 7 < 13
Answer:
5x-7 has to equal to something smaller than 13
5x-7=5
Answer: x < 4
Step-by-step explanation:
Disregarding the lesser than sign, we can treat this equation as 5x-7=13. This doesn't work all the time as there are rules, but those rules don't apply to a simple inequality such as this.
5x-7<13
5x<20
x<4
And so, our answer is x<4
