Please help me with this , I hope it's easier.
Hi! I hope you're enjoying your day!
Let's add the following polynomials.
How to add them? Just combine like terms. :)
[tex]\bold{2x^2-10x+1 ~and~x^2+15x-8}[/tex]
[tex]\bold{2x^2+x^2-10x+15x+1-8}[/tex]
Hence, the answer is
[tex]\boxed{\boxed{\bold{3x^2+5x-7}}}[/tex]
[tex]\rule{250}{2}[/tex]
[tex]\bold{2x^3-3x^2+5\;and\;5x^2-3x^3+7}}}\\[/tex]
Combine Like terms:
[tex]\bold{2x^3-3x^3-3x^2+5x^2+5+7}[/tex]
Hence, the answer is
[tex]\boxed{\boxed{\bold{-x^3+2x^2+12}}}[/tex]
Hope everything is clear.
If you have any questions, please comment.
#LearningIsFun
find the rate of change from the equation y=-7/8x+3
Answer:
-7/8
Step-by-step explanation:
rate of change is the same as slope so -7/8
Answer:
-7/8Step-by-step explanation:
find the rate of change from the equation:
y = -7/8x + 3
use the formula: y = mx + b
where:
y = how far up the line goes
m = slope
x = how far along
b = Y-intercept
so the rate of change is the same as the slope
therefore, the slope = -7/8
Find the interest on a $6000 loan at 4% for 5 years.
Answer:
6000/1+0.04 power of 5
= 32,269.44
riders must be 48 inches tall to get on a new ride at an amusement park. there are 12 inches in 1 foot. some amusement parks use meters for the minimum height of riders. about how many meters are equivalent to 48 inches?
Answer: Around 1.2 meters
Step-by-step explanation:
The ratio of boys to girls at a movie is 4:7. If there are 21 girls, how many boys are at the movie?
Answer:
12 boys
Step-by-step explanation:
7 x 3 = 21
4 x 3 = 12
12 boys
Kelsey had 8 entries in her science journal. Last week, she wrote x more entries. How many entries are in her science journal now?
Answer:
Kelsey has 8 plus more entries
8 + x
What is the answer to 5+{2×[(5−1)+6]}÷4 with no frations
Answer:
15.5
Step-by-step explanation:
5+2x5-1+6/4=15.5
using a calculator this answer is correct.
Consider a Poisson distribution with a mean of two occurrences per time period. a. Which of the following is the appropriate Poisson probability function for one time period? 1 2 3 - Select your answer - b. What is the expected number of occurrences in three time periods? c. Select the appropriate Poisson probability function to determine the probability of occurrences in three time periods. 1 2 3 - Select your answer - d. Compute the probability of two occurrences in one time period (to 4 decimals). e. Compute the probability of six occurrences in three time periods (to 4 decimals). f. Compute the probability of five occurrences in two time periods (to 4 decimals)
Answer:
F(k) = 2k e-2 / k!
Mean =µ = 2 x 3 = 6
f(k) = 6k e-6 / k!
F(2) = 22 e-2 / 2!
= 0.2707
F(6) = 66 e-6 / 6!
= 0.1606
f(5) = 45 e-4 / 5!
= 0.1563
Step-by-step explanation:
Solution:
Given:
Mean = µ = 2 per time period
Poisson probability:
F(k) = µk e-µ / k!
(a) Poisson probability for one time period.
Put µ = 2 in formula, we get:
F(k) = 2k e-2 / k!
(b) Expected number of occurrence in three time period.
Mean of one time period is multiply with number of time period.
Mean =µ = 2 x 3 = 6
(c) Probability of occurrence in three time period.
Put the value of µ = 6 in the given formula, we get:
f(k) = 6k e-6 / k!
(d) Probability of two occurrences in one time period.
Put k = 2 in given formula:
F(2) = 22 e-2 / 2!
= 0.2707
(e) Probability of six occurrences in three time period.
Put k = 6, in given formula, we get:
F(6) = 66 e-6 / 6!
= 0.1606
(f) Probability of five occurrences in two time period.
Mean of one time period is multiply by the number of time periods.
µ = 2 x 2 = 4
put k = 5 and µ = 4 in formula, we get:
f(5) = 45 e-4 / 5!
= 0.1563
What is the scale factor of the reduction?
GIVEING BRAINLY 3
Scale factor
[tex]\\ \rm\rightarrowtail k=\dfrac{y}{x}[/tex]
[tex]\\ \rm\rightarrowtail k=\dfrac{0.5}{2.5}[/tex]
[tex]\\ \rm\rightarrowtail k=\dfrac{1}{5}[/tex]
please answer quick!!
How is the area of polygons used to find surface areas of formulas for three dimensional figures
Answer:
V = l × b × h
One of the legs of a right triangle measures 4 cm and the other leg measures 4 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
4[tex]\sqrt{2\\[/tex] or 5.7
Step-by-step explanation:
a^2 + b^2 = c^2
4^2 + 4^2 = c^2
16 + 16 = c^2
32 = c^2
4[tex]\sqrt{2\\[/tex] or 5.7
what is the answer to 15x+6y
Answer:
x = -0.4y
Step-by-step explanation:
Simplifying
15x + 6y = 0
Solving
15x + 6y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6y' to each side of the equation.
15x + 6y + -6y = 0 + -6y
Combine like terms: 6y + -6y = 0
15x + 0 = 0 + -6y
15x = 0 + -6y
Remove the zero:
15x = -6y
Divide each side by '15'.
x = -0.4y
Whole numbers that go one after another are called consecutive numbers. If you add 4 consecutive numbers, you get the smallest of these numbers multiplied by 5. What is this smallest number?
Answer:
The smallest number be 6.
Step-by-step explanation:
Let the 4 consecutive numbers be :
n,n+1,n+2,n+3 where n is the smallest number
Adding up the 4 consecutive numbers, we get :
n+n+1+n+2+n+3 = 4n+6
ATQ,
4n+6 = 5n
Taking like terms together,
6=5n-4n
⇒ n = 6
So, the smallest number be 6.
of 10
Write 64 as a product of primes.
Use index notation where appropriate.
Answer:
[tex]{\huge{\pink{\underline{\underline{Question:}}}}}[/tex]
Write 64 as a product of primes.
Use index notation where appropriate.
[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]
[tex]Prime\ no.\ is\ 2[/tex]
Factorisation of 64=2×2×2×2×2×2
[tex]{2}^{6} [/tex]
If x – 4y = 6 is a true equation, what would be the value of – 4y + x?
Answer:
6
Step-by-step explanation:
it's basically the same equation just different arrangement
Bill has a bag of 24 marbles. 6 are blue, 12 are red, 3 are black and 3
are green. What are the percentages of each colour?
Answer:
25%, 50%, 12.5%,12.5%
Step-by-step explanation:
6/24
3/24
12/24
3/24
Evaluate
x(y+3)
_____
(3+y)z
for x = 12, y = 1, and z = 6
A.5
B.6
C.8
D.2
Answer:
12(1+3)
6(3+1)
12(4)
6(4)
48
24
answer = 2
‼️‼️3) Brad was going to make
$53.85 a day for 5 days in his
new job. He figured that he
would make about $350.00. Is
this a reasonable answer?
Explain why or why not.‼️
Evaluate the expression 2x2 - y + 3x" for x = 3 and y = 7.
o 14
098
оо
0 12
032
The expression to be evaluated:
➝ 2x² - y + 3xFor,
➙ x = 3➙ y = 7First step in evaluating an expression is to substitute the given value of variable into the expression. Then you can finish evaluating the expression using arithmetic.
On putting the values of x and y in the given expression:
ㅤㅤ➝ 2x² - y + 3x
ㅤㅤ➝ 2× ( 3 )² - 7 + 3 × 3
ㅤㅤ➝ ( 2 × 9 ) - 7 + 9
ㅤㅤ➝ 18 - 7 + 9
ㅤㅤ➝ 11 + 9
ㅤㅤ➝ 20
Which Box-and-Whisker Plot below correctly illustrates the data shown below? {22, 24, 24, 25, 26, 26, 27, 28, 28, 30} A. B. C. D.
b i your answer i know it
Step-by-step explanation:
The 3rd Box-and-Whisker Plot correctly depicts the data given.
What is a expression? What is a mathematical equation? What is a box and whisker plot?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. In descriptive statistics, a box plot or boxplot is a method for graphically demonstrating the locality, spread and skewness groups of numerical data through their quartiles.We have the Box-and-Whisker Plots for the data -
{22, 24, 24, 25, 26, 26, 27, 28, 28, 30} shown in the image.
We can identify the boxplot by the median calculation easily. We can find the median of the given data set as -
[M] = (26 + 26)/2 = (2 x 26)/2 = 26
Therefore, the 3rd Box-and-Whisker Plot correctly depicts the data given.
To solve more questions on Box-and-Whisker Plots, visit the link below
https://brainly.com/question/26963285
#SPJ2
NO LINKS!!! Solve each triangle. Part 3aa
NOT A MULTIPLE CHOICE!!
1aa. B=10°, C=100°, b= 2
2bb. A= 40°, B= 40°, c= 2
3cc. A= 110°, C= 30°, c= 3
Answer:
Sum of interior angles of a triangle = 180°
Sine rule to find side lengths:
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
----------------------------------------------------------------------
Question 1aa
Given: B = 10°, C = 100°, b = 2
10° + 100° + A = 180°
⇒ A = 70°
[tex]\dfrac{a}{\sin 70}=\dfrac{2}{\sin 10}=\dfrac{c}{\sin 100}[/tex]
[tex]\implies a=\sin 70 \cdot \dfrac{2}{\sin 10}=10.82294826...[/tex]
[tex]\implies c=\sin 100\cdot \dfrac{2}{\sin 10}=11.34256364...[/tex]
----------------------------------------------------------------------
Question 2bb
Given: A = 40°, B = 40°, c = 2
40° + 40° + C = 180°
⇒ C = 100°
[tex]\dfrac{a}{\sin 40}=\dfrac{b}{\sin 40}=\dfrac{2}{\sin 100}[/tex]
[tex]\implies a=\sin 40\cdot\dfrac{2}{\sin 100}=1.305407289...[/tex]
[tex]\implies b=\sin 40\cdot\dfrac{2}{\sin 100}=1.305407289...[/tex]
----------------------------------------------------------------------
Question 1aa
Given: A = 110°, C = 30°, c = 2
110° + 30° + B = 180°
⇒ B = 40°
[tex]\dfrac{a}{\sin 110}=\dfrac{b}{\sin 40}=\dfrac{3}{\sin 30}[/tex]
[tex]\implies a=\sin 110 \cdot \dfrac{3}{\sin 30}=5.638155725...[/tex]
[tex]\implies b=\sin 40\cdot\dfrac{3}{\sin 30}=3.856725658...[/tex]
twelve million, one hundred and two thousand one hundred and twenty?
tHiS qUeStIoN iS EaSy ToO. pLeAsE hAlP.
Answer:
41/10 or 4.1......
Step-by-step explanation:
Lily invested $60,000 in an account paying an interest rate of 6 1 2 6 2 1 % compounded continuously. Lydia invested $60,000 in an account paying an interest rate of 6 1 8 6 8 1 % compounded monthly. To the nearest hundredth of a year, how much longer would it take for Lydia's money to triple than for Lily's money to triple?
Using interest equations, it is found that it will take 1.08 year more for Lydia's money to triple than for Lily's.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.What is the amount in continuous compounding?It is given by:
[tex]A(t) = Pe^{rt}[/tex]
For Lily, the parameters are as follows: r = 0.065, with continuous compounding. The time to triple is t for which A(t) = 3P, hence:
[tex]A(t) = Pe^{rt}[/tex]
[tex]3P = Pe^{0.065t}[/tex]
[tex]e^{0.065t} = 3[/tex]
[tex]\ln{e^{0.065t}} = \ln{3}[/tex]
[tex]0.065t = \ln{3}[/tex]
[tex]t = \frac{\ln{3}}{0.065}[/tex]
[tex]t = 16.90[/tex].
For Lydia, using compound interest, the parameters are: r = 0.06125, n = 12, hence:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]3P = P\left(1 + \frac{0.06125}{12}\right)^{12t}[/tex]
[tex](1.00510416667)^{12t} = 3[/tex]
[tex]\log{(1.00510416667)^{12t}} = \log{3}[/tex]
[tex]12t\log{(1.00510416667)} = \log{3}[/tex]
[tex]t = \frac{\log{3}}{12\log{(1.00510416667)}}[/tex]
[tex]t = 17.98[/tex]
17.98 - 16.9 = 1.08, hence, it will take 1.08 year more for Lydia's money to triple than for Lily's.
More can be learned about interest equations at https://brainly.com/question/25781328
Based on the frequency distribution above, find the relative frequency for the class with a lower class limit of 35 Give your answer as a percent, rounded to 1 place after the decimal point, if necessary. Type only a number in the answer box (do NOT type "%" after your answer).
Ages Number of students
15-18 10
19-22 8
23-26 9
27-30 4
31-34 4
35-38 5
Using it's concept, it is found that the relative frequency for the class with a lower class limit of 35 is of 12.5%.
What is a relative frequency?A relative frequency is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, 5 out of a total of 10 + 8 + 9 + 4 + 4 + 5 = 40 students are in the class with a lower class limit of 35, hence:
f = 5/40 = 1/8 = 0.125 = 12.5%.
The relative frequency for the class with a lower class limit of 35 is of 12.5%.
More can be learned about relative frequencies at https://brainly.com/question/14398287
What is the area, I need help? Someone pls help
Answer:
The area of this figure is 106 square meters
Step-by-step explanation:
7*4=28
(10*5)
50+28+28= 106 sq meters
I need HELP please solve the blank space. It says that it isn’t 100 so I need HELP!!
yeah 5 is 5% of 100 i dunno bro
if anything try .25
sorry
12——4
24——8
36——12
48——
What number complete the sequence
Answer:
I think it's 16
Step-by-step explanation:
your adding 4
Which of the following is a correct interpretation of the expression -4- (-7)?
Choose 1 answer:
А
The number that is 4 to the left of - 7 on the number line
B
The number that is 4 to the right of - 7 on the number line
The number that is 7 to the left of -4 on the number line
D
The number that is 7 to the right of -4 on the number line
Answer:
D the number 7 to the right of -4 on the number line