➙ ( ab² + 10 + a ) - ( 6ab² - 2ab + 8 )
➙ ab² + 10 + a - 6ab² + 2ab - 8
➙ ab² - 6ab² + a + 2ab + 10 - 8
➙ -5ab² + 2ab + a + 2
➲ More information:
Polynomial s in two variables are algebraic expressions consisting of terms in the form of a x n y m .When adding or subtracting terms that have exactly the same same variable, we either add or subtract the coefficients .21/56 and 3/8 divisor
The result of this operation is 1
Data;
21/563/8Division of FractionsTo solve this problem, we are asked to divide the fraction. Whenever two fractions are given and the operation required is division, it is best to take the inverse of one of the fraction and then multiply it by the other fraction.
[tex]\frac{21}{58} / \frac{3}{8}[/tex]
This can become
[tex]\frac{21}{56} * \frac{8}{3} = \frac{7}{7} = 1[/tex]
This shows that dividing the two fractions will give us 1.
Learn more on division of fractions here;
https://brainly.com/question/1622425
https://brainly.com/question/18925320
What is the value of <5x-20?(plug 10 in for x
Answer:
<30
Step-by-step explanation:
5*10=50
50-20=30
Please mark me brainlest
What is 12 times 0.15
To make this simpler, we know that [tex]0.15=\frac{15}{100}[/tex], so
12 times [tex]\frac{15}{100}[/tex] = [tex]12 * \frac{15}{100} =\frac{180}{100} = 1.8[/tex]
Hope that helped!
Answer:
12×0.15
=1.8
I think it will help you.
Given that f(–2.4) = -1 and f(-1.9) = -8, approximate
f'(-2.4).
f'(-2.4)
Answer:
f'(-2.4) ≈ -14
General Formulas and Concepts:
Algebra I
Coordinate Planes
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Functions
Function NotationCalculus
Differentiation
DerivativesDerivative NotationStep-by-step explanation:
*Note:
The definition of a derivative is the slope of the tangent line.
Step 1: Define
Identify.
f(-2.4) = -1
f(-1.9) = -8
Step 2: Differentiate
Simply plug in the 2 coordinates into the slope formula to find slope m.
[Derivative] Set up [Slope Formula]: [tex]\displaystyle f'(-2.4) \approx \frac{f(x_2) - f(x_1)}{x_2 - x_1}[/tex]Substitute in coordinates: [tex]\displaystyle f'(-2.4) \approx \frac{-8 - -1}{-1.9 - -2.4}[/tex]Evaluate: [tex]\displaystyle f'(-2.4) \approx -14[/tex]---
Learn more about derivatives: https://brainly.com/question/17830594
---
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Prove that!
[tex]\tiny\displaystyle\rm \sum_{q=1}^{\infty}\left(a^{q}\left(1+\sum_{r=1}^{\infty} \frac{\prod \limits_{i=0}^{r+1}(q-i)}{\Gamma(r+1)}\left(\frac{b x^{m}}{a}\right)^{r}\right)\right)=\frac{a+b x^{m}}{1-\left(a+b x^{m}\right)}[/tex]
if all variables belong to natural number.
Recall that if |x| < 1, then
[tex]\displaystyle \frac1{1-x} = \sum_{k=0}^\infty x^k[/tex]
So if |a + bxᵐ| < 1, then
[tex]\displaystyle \frac{a+bx^m}{1 - (a+bx^m)} = \sum_{q=1}^\infty (a+bx^m)^q = \sum_{q=1}^\infty a^q \left(1 + \frac{bx^m}a\right)^q[/tex]
By the binomial theorem,
[tex]\displaystyle \left(1 + \frac{bx^m}a\right)^q = \sum_{r=0}^q \binom qr \left(\frac{bx^m}a\right)^r[/tex]
The binomial coefficient is defined as
[tex]\dbinom nk = \dfrac{n!}{k!(n-k)!}[/tex]
if 0 ≤ k ≤ n, and 0 otherwise. Then we can rewrite the sum as
[tex]\displaystyle \left(1 + \frac{bx^m}a\right)^q = \sum_{r=0}^\infty \binom qr \left(\frac{bx^m}a\right)^r[/tex]
and pulling out the first term,
[tex]\displaystyle \left(1 + \frac{bx^m}a\right)^q = 1 + \sum_{r=1}^\infty \binom qr \left(\frac{bx^m}a\right)^r[/tex]
Finally,
[tex]\dbinom qr = \dfrac{q!}{r! (q-r)!} \\\\\\ = \dfrac{q(q-1)(q-2)\cdots(q-(r-1))(q-r)(q-(r+1))\cdots3\cdot2\cdot1}{r! (q-r) (q-(r+1)) (q-(r+2))\cdots3\cdot2\cdot1} \\\\\\ = \dfrac{q(q-1)(q-2)\cdots(q-(r-1))}{r!} \\\\ = \dfrac{\prod\limits_{i=0}^{r-1}(q-i)}{\Gamma(r+1)}[/tex]
since n! = Γ(n + 1). (I think the given upper limit in the product may be a mistake.)
Please answer this for brainliest!
Answer:
128°
Explanation:
total sum of interior angle in triangle is 180°
Find the missing angle inside the triangle:
180° - 38° - 90°
52°
∵ a straight line always has 180°
Now find for missing exterior angle:
x° + 52° = 180°
x° = 180° - 52°
x° = 128°
Answer:
128 degrees
Step-by-step explanation:
180-52= 128
so your answer is 128 degrees.
find the value of x
90
90
64
X
Answer:
244
Step-by-step explanation:
I assume this asks 90+90+64 = ?
So, you can put it all in a calculator and get 244
If you have any questions or I have interpretated the question wrong, feel free to comment! :D
A bank offers an investment account with an annual interest rate of 1.14% compounded monthly. Lashonda invests $3400 into the account for 2 years. Answer the questions below. Do not round any intermediate computations, and round your final answers to the nearest cent. If necessary, refer to the list of financial formulas х 5 ? (a) Assuming no withdrawals are made, how much money is in Lashonda's account after 2 years?
Answer:
≈$3478.4
Step-by-step explanation:
Using the compound interest formula:
[tex]A = P(1+\frac{r}{n})^{nt}[/tex]
A = Total
P = Principle
r = Interest Rate
n = No. of times applied in each time period
t = No. of periods
In this case,
P = 3400
r = 1.14% = 0.0114
n = 12 (months)
t = 2 (years)
Hence,
[tex]A = 3400(1+\frac{0.0115}{12})^{12*2}[/tex]
[tex]A = 3478.372836......[/tex]
A ≈ 3478.4 (nearest cent)
helpp please and explanation its so hard
Answer:
No
Step-by-step explanation:
Because
14.99 + 1.50 = 16.49
16.49 + 6% = 17.4794
17.4794 + 20% = 20.97528
Now if you round 20.97528
It becomes 20.98
I hope this is correct!
Please mark me Brainliest!
What is the value of the expression below? 64^2/8
Answer:
512
Step-by-step explanation:
64^2=4096
4096/8=512
In the Sketch below KN: NL = 30:7 NP//LM , KL= 50cm , PM = 42 cm.
What is the length of LM
Which of the following is the difference of two squares?
A)100m^2+9n^2
B)9x^2-12y^2
C)25a^2-36b^6
D)16g-49h
Answer: C
Step-by-step explanation:
[tex]25a^{2}=(5a)^{2}[/tex] and [tex]36b^{6}=(6b^{3})^{2}[/tex]
Help me pls and thanks ( math ) !!
Answer:
A
Step-by-step explanation:
That's how much remains in the pitcher
Answer: 6
Step-by-step explanation: 4 1/3 + 1 2/3 = 5 3/3
3/3 = 1
5+1 = 6
There is a pair of parallel sides in the following shape.
what is the area of the shape? units^2
Answer:
A = 15 units²
Step-by-step explanation:
The figure has 1 pair of parallel sides and is therefore a trapezium.
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height between bases and b₁, b₂ are bases
here h = 3, b₁ = 3 , b₂ = 7 , then
A = [tex]\frac{1}{2}[/tex] × 3 × (3 + 7) = 1.5 × 10 = 15 units²
The area of the square is the square of one of its sides. The area of the plate is 15 units².
What is the area of a square?The area of the square is the square of one of its sides.
[tex]\text{Area of square} = a^2[/tex]
What is the area of a triangle?The area of a triangle is half the product of its base and height.
[tex]\rm\text{Area of Triangle} = \dfrac{1}{2} \times Base \times Height[/tex]
The shape of the plate can be divided into two parts a square of side 3 cm and a triangle with of base 4 cm and a height of 3 cm, therefore, the area of the plate is,
[tex]\text{The area of the shape} = \text{Area of the triangle} + \text{Area of the square}[/tex]
[tex]= (\dfrac{1}{2} \times 4 \times 3) + (3 \times 3)\\\\= 6 + 9\\\\=15\rm\ units^2[/tex]
Hence, the area of the plate is 15 units².
Learn more about Area of Square:
https://brainly.com/question/1658516
The question is below.
Answer:
Product before increasing: 4200
x after increase: 60 * 105% = 63
y after increase: 70 * 110% = 77
Product after increasing: 4851
Percentage increase in the product: 4851 / 4200 * 100 = 115.5%
4⁄6 + 2⁄4 + 3⁄5 = What is the answer
Answer:
53/30 or.... 1 whole number 23/30
Answer:
50/30
Step-by-step explanation:
2/3 + 1/2 + 3/5
20 + 15 + 18/ 30
= 50/30
What is the slope??? Please show step by step!!
The slope is 3/2.
We take any two points, I took (-14,3) and (-12,6) for solving for the formula when finding slope.
The formula is Rise/Run or Change in Y/ Change in X.
y2-y1/x2-x1
6-3/-12-(-14)
= 3/2
Slope is 3/2
10. Mr. Sanchez goes to the movies every 18 days. His brother goes to the
movies every 30 days. If they were at the movies together this evening,
how many more days will it be before they are at the movies together
again? 5.NF.2
What is the slope of the line that passes through the points (10,8) and (7, 14)?
Write your answer in simplest form.
Slope:-
[tex]\\ \rm\rightarrowtail m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \rm\rightarrowtail m=\dfrac{14-8}{7-10}[/tex]
[tex]\\ \rm\rightarrowtail m=\dfrac{-6}{-3}[/tex]
[tex]\\ \rm\rightarrowtail m=2[/tex]
Answer:
The line passes through the given points are ( 10,8) & (7,14)
here
x₁ = 10
y₁ = 8
x₂ = 7
y₂ = 14
We have been asked to slope of that line which passes through the given points .
Using Formulae
❍[tex] \bf \: m \: = \dfrac{y_{2} - y_{1}}{x_{2} - x_{1}} [/tex]
Put the given value we obtain
[tex] \sf \dashrightarrow \: m \: = \dfrac{14 - 8}{7 - 10} \\ \\ \sf \dashrightarrow \: m \: = \dfrac{6}{ - 3} \\ \\ \sf \dashrightarrow \: m \: = \dfrac{ - 2}{1} \\ \\ \sf \dashrightarrow \: m \: = - 2[/tex]
So, the slope of that line is -2 .
The temperature changed
from 73 degrees to 65
degrees. What is the change
in temperature?
1) Two similar rectangles are shown. Which statement is true? A) The area of rectangle B is 1 3 the area of rectangle A. B) The area of rectangle B is 1 9 the area of rectangle A. C) The area of rectangle B is nine times the area of rectangle A. D) The area of rectangle B is three times the area of rectangle A.
Answer: C
Step-by-step explanation:
We know the scale factor is 6/2=3.
A) False. The ratio of the side lengths, not the areas, is 1 to 3.
B) False. Rectangle B is larger than Rectangle A.
C) The square of the ratio of the side lengths is the ratio of the areas.
D) False. The ratio of the side lengths, not the areas, is 1 to 3.
The area of a rectangle is 77 ft squared and the length of the rectangle is 3 feet more that double the width
Answer:
w = 5.5 assuming that w is the missing width of the rectangle.
Jack Thomas has an ice cream cone with 280 calories. How long would it take him to burn off the calories by:
running (5mph) - minutes
walking (3mph) - minutes
taking a nap -minutes
Answer:
28
70
280
Step-by-step explanation:
please answer please
Answer:
ill say the answer is 76849302
Step-by-stepStep-by-step explanation:
because 18 over 1/3 ad 3 over 1/3 is 76849302 . Hopefully this helped
what is the solution to 8(2^x+3)= 48
This is how to solve it.
Hope this helps
YOU WILL GET 50 POINTS!!!!!!
ANSWER THE QUESTION BELOW PLEASE!!!!
Answer:
9.2 cm and 15% increase
Step-by-step explanation:
1.15*8 = 9.2
percentage increase
new square = 9.2*9.2 =84.64
old area=8*9.2 = 73.6
percentange increase = (84.64-73.6)/73.6 = 15%
Increase the width
8+0.15(8)8+1.29.2cmAs sides of square are equal
The sides are 9.2cmArea increases same as length i.e 15%
MATH PEOPPE PLEASE HELP
After sitting out of a refrigerator for a while, a turkey at room temperature (72°F) is
placed into an oven. The oven temperature is 305°F. Newton's Law of Heating
explains that the temperature of the turkey will increase proportionally to the
difference between the temperature of the turkey and the temperature of the oven, as
given by the formula below:
T = T. + (T. – T.)e-kt
To = the temperature surrounding the object
To = the initial temperature of the object
t the time in hours
T = the temperature of the object after t hours
k = decay constant
The turkey reaches the temperature of 123°F after 2 hours. Using this information,
find the value of k, to the nearest thousandth. Use the resulting equation to
determine the Fahrenheit temperature of the turkey, to the nearest degree, after 4.5
hours.
Enter only the final temperature into the input box.
Answer:
156 °F
Step-by-step explanation:
Newton's Law of Heating results in the exponential function you show in your problem statement. We can use the given starting and "in-progress" temperatures and times to solve for the value of the factor "k" in the exponential function.
[tex]T(t)=T_\infty+(T_0-T_\infty)e^{-kt}\\\\T(2.5)=123=305+(72-305)e^{-k\cdot2.5}\qquad\text{substitute given temps and times}\\\\\dfrac{123-305}{72-305}=e^{-2.5k}=\dfrac{182}{233}\qquad\text{subtract 305, divide by $(72-305)$}\\\\k=\dfrac{-1}{2.5}\ln\dfrac{182}{233}\approx0.0988127\approx0.099\qquad\text{rounded to 3 places}[/tex]
Then the temperature after 4.5 hours is ...
T(4.5) = 305 -233e^(-0.099·4.5) ≈ 156 . . . . °F
_____
Additional comment
It will take about 6.3 hours for the turkey temperature to reach 180 °F.
A crate is 3/4 yard long and 2/3 yard wide. The crate is also 2 feet tall. What is the area of the top of the crate?
Answer:
1/2 or 6/12
Step-by-step explanation:
To get the area of the crate's top, multiply the length and width together. Should not multiply the height by anything because it simply measures the height of the box and not the length or breadth of any of its bases (the top and bottom of the box). When you multiply the length by 3/4 and the breadth by 2/3, you should obtain 6/12, or 1/2 yard squared, as your answer for the area of the crate's top.
1.2 if a = -6, b = +4, c = -3 and d = -2 Calculate the value of :-
a) ab
b) a÷d
c) 2bd
Answer:
a)ab=-6×+4=-24
b)a÷d=-6÷-2=3
c)2bd=2×+4×-2=-16
Step-by-step explanation:
Put the values according to the question
Hope it help you
Use the picture to create a ratio between the objects.
eeeeeeeee )
The ratio of the number of footballs to the number of baseballs is y
the ratio of the number of baseballs to the number of footballs is
Answer:Blue
Step-by-step explanation:
