Given:
The number is -6.
To find:
The inverse with respect to addition of the given number.
Solution:
We need to find the additive inverse of -6, to get the inverse with respect to addition of -6.
We know that, the sum of a number and its additive inverse is 0.
Let the additive inverse of -6 be x. Then,
[tex]-6+x=0[/tex]
Adding 6 on both sides, we get
[tex]-6+x+6=0+6[/tex]
[tex]x=6[/tex]
Therefore, the inverse with respect to addition of -6 is 6.
Angie divides the polynomial function f(x)=x3+3x2−7x−21 by (x + 3). What can she conclude from the fact that the remainder is equal to 0?
Answer:
See below
Step-by-step explanation:
Given function
f(x)=x³ + 3x²- 7x - 21We can find its factors:
x³ + 3x² - 7x - 21 =x²(x + 3) - 7(x + 3) =(x² - 7)(x + 3)We can conclude that the given polynomial function is fully divisible by (x + 3) and the quotient is (x² - 7)
Also one of zeros of the function is -3
WILL GIVE BRAINLIEST
Answer: x = 28
Step-by-step explanation:
Trust me :)
LOTS OF POINTS plz help due today!!!!!
Answer:
what numbers do you need answering??
Step-by-step explanation:
Hello I need urgent help with this question!!
Answer:
B
Step-by-step explanation:
First we find the vertex, which is the bottom of the "V" shape visually, you see it is -3, 4
That means answer is A or B. The x intercepts are where the line crosses the x axis, with is -5,0 and -1,0, so it has to be B!
click the heart button to give thanks :) merry xmas
The waitress brings you your bill for $82.43 at a fancy restaurant. You want to leave a 20% tip for the waitress. How much money should you pay in order to cover the bill and the waitress's tip?
Answer:
98.91
Step-by-step explanation:
rounded to 2 decimal places
Which expression below does NOT equal 54?
O A. 3 x 3 x 6
O B. 2 X 3 X9
C. 2 X 3 X 3 X 3
O D. 2 x 2 x 2 x 6
Naomi has a lot of stuff in her pencil case. There are 18 items in her pencil case, including 9 pencils. What is the probability that a randomly selected item from Naomi's pencil case will be a pencil? Write your answer as a fraction or whole number. P(pencil) =
Answer:
p=1/2
Step-by-step explanation:
If 9 is 1 half of 18 that means there is a 50% chance of you picking a pencil out of the pencil case
The given expression represents the area. Find the side length of the square.
9514 1404 393
Answer:
(4x +5)
Step-by-step explanation:
The square of a binomial is ...
(a +b)² = a² +2ab +b²
We assume that the given trinomial is a perfect square, so we can find the terms of the squared binomial by looking at the square roots of the first and last terms:
√(16x²) = 4x
√25 = 5
So, our first choice of side length for the square is ...
s = (4x +5) . . . . . side length of the square
__
Using the above identity, we can verify that the square of this gives the right area:
A = s² = (4x +5)² = (4x)² +2(4x)(5) +5²
A = 16x² +40x +25 . . . . . . as required
HELP PLS!!!!!!!!!!!!!!!!!!!!!!!!!!!! I WILL GIVE BRAINLIEST
Answer:
[tex]n=\frac{5\ln \left(\frac{q}{r}\right)}{\ln \left(q\right)}-2[/tex]
Step-by-step explanation:
Answer:
n = 3
Step-by-step explanation:
I guess you want the value of n
-----------------------------------------------------------
Since n is the index of q, you can simply
ignore all p and r stuff and make it
[tex]q^{2}[/tex]×[tex]q^{n}[/tex] = [tex]q^{5}[/tex]
[tex]q^{2+n}[/tex] = [tex]q^{5}[/tex]
2 + n = 5
n = 3
Salt is poured from a container at 10 cm³ s-¹ and it formed a conical pile whose height at any time is 1/5 the radius of the above. At what rate is the height of the cone increasing when the height is 2 cm form the base of the cone?
Given :
Salt is poured from a container at 10 cm³ s-¹ and it formed a conical pile whose height at any time is 1/5 the radius of the above.
To Find :
At what rate is the height of the cone increasing when the height is 2 cm form the base of the cone.
Solution :
We know, volume of a cone is given by :
[tex]V = \dfrac{\pi r^2h}{3}[/tex]
Also, h = r/5
r = 5h
[tex]V = \dfrac{\pi (5h)^2h}{3}\\\\V = \dfrac{\pi 25h^3}{3}[/tex]
Differentiating above equation w.r.t h, we get :
[tex]\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{\pi 25h^3}{3})\\\\\dfrac{dV}{dh} = 25\pi h^2\dfrac{dh}{dt}\\\\\dfrac{dh}{dt}= \dfrac{\dfrac{dV}{dh}}{25\pi h^2 }\\\\\dfrac{dh}{dt}=\dfrac{10}{25\times 3.14\times 2^2}\\\\\dfrac{dh}{dt}=0.032\ cm/s[/tex]
Hence, this is the required solution.
answer this correctly pls and u get brainliest and 50 points
Answer:
32 degrees
Step-by-step explanation:
One straight line equals 180 degrees
if one angle from one side is 148, then 180-148=32
There are 28 rows in a corner section of a professional football stadium. Each row
contains 4 more seats than the row in front of it. If there are 15 seats in the first row, 19
seats in the second row, 23 seats in the third row, and so on, which equation represents
the number of seats “s”in the “nth” row?
A. s(n)= 11 +4n
B. s(n) = 15+41
С. s(n) = 28 + 4n
D. s(n) = 11n + 4
Answer: A. S(n) =11+4n
Step-by-step explanation:first row is 15 so 11+(1×4) and 11+(4×2)=19 and so onn.
A rectangular monitor's size is measured diagonally from 1 comer to the opposite comer. What is the size of a rectangular monitor that is 30 centimeters wide by 24 centimeters high,
nearest
Answer:
somewhere around 38-44
Step-by-step explanation:
i would like brainliest plz, i know bad answer
Answer:
How do you solve it?
Step-by-step explanation:
The lowest common denominator of 1/2 ,1/4 , and 1/4 is:
Answer:
LCD = 24
Step-by-step explanation:
Equivalent Fractions with the LCD
1 1/2 = 36/24
3/8 = 9/24
5/6 = 20/24
3 = 72/24
Hope this Helped! :}
Amelia fills a bucket with 3.5 gallons of water. A gallon of water is approximately 8.34 pounds. What is the weigh, in pounds, of the bucket?
Answer:hehdjjdjfhrjrg
Step-by-step explanation:jejejdjfhbwbqkdjjcifirocicufjr
A player chooses one of the numbers 1 through 4. After the choice has been made, two regular four-sided (tetrahedral) dice are rolled, with the sides of the dice numbered 1 through 4. If the number chosen appears on the bottom of exactly one die after it is rolled, then the player wins If the number chosen appears on the bottom of both of the dice, then the player wins If the number chosen does not appear on the bottom of either of the dice, the player loses What is the expected return to the player, in dollars, for one roll of the dice
Answer: [tex]=\frac{-1}{16}[/tex]
Step-by-step explanation:
given data:
number to be chosen from = 1,2,3,4.
Solution:
ways the number can show
[tex]2*3*1=6[/tex] ways for your number to appear once.
[tex]1*1=1[/tex] ways for your number to appear twice.
[tex]3*3=9[/tex] ways for your number not to appear at all
[tex]= \frac{6(1) + 1(2) - 9(1)}{16}[/tex]
[tex]= \frac{6+2-9}{16}[/tex]
[tex]=\frac{-1}{16}[/tex]
expected return of the player is [tex]=\frac{-1}{16}[/tex]
Omg I don’t get it look at the picture:(
Answer:
Cevap B
Step-by-step explanation:
fcxssazhgfxghfhdhddd
1. If x=3-√3,
prove that x²
+36
x²
= x²
Answer:
we get [tex]x^2=12-6\sqrt{3}[/tex]
Step-by-step explanation:
We are given: [tex]x=3-\sqrt{3}[/tex]
We need to find [tex]x^2[/tex]
Note: Since question is not clear, I am assuming that we need to find [tex]x^2[/tex]
Solving:
[tex]x=3-\sqrt{3} \\Taking \ square \ on \ both \ sides\\x^2=(3-\sqrt{3})^2\\[/tex]
We know that [tex](a-b)^2= a^2-2ab+b^2[/tex]
Using formula and simplifying
[tex]x^2=(3)^2-2(3)(\sqrt{3})+(\sqrt{3})^2\\x^2=9-6\sqrt{3} +3\\x^2=12-6\sqrt{3} \\[/tex]
So, we get [tex]x^2=12-6\sqrt{3}[/tex]
. Rachel used 4.5 cups of apple juice in a holiday fruit punch that serves 12 people. Art used 4.75 cups of apple juice in a holiday fruit punch that serves 10 people. How much more apple juice is in one serving of Art's holiday punch? *
Answer: the 10 people served .1 more cups per serving than the 12 people
Step-by-step explanation:
4.5/12=.375
4.75/10=.475
The difference between .375 and .475 is .1
the following formula gives the area of a circle, A, dependent on its radius, r.
A = πr²
solve the equation for the variable r.
Answer:
sqrt(A/pi), -sqrt(A/pi)
Step-by-step explanation:
A=pi*r^2
r^2=A/pi
r=sqrt(A/pi), -sqrt(A/pi)
Complete the number sentence.
0.30 ÷ 0.06
Answer:
5
Step-by-step explanation:
Answer:
0.30 ÷ 0.06 = 5
Step-by-step explanation:
Viruses are in which domain of life?
A) Archaea
B) Bacteria
C) Eukarya
D) none of the above
Answer:
thanks for free points
Order the following expressions by their values from least to greatest.
PLEASE ANSWER NOW FOR TESTT!!!
Answer:
l , k , j
Step-by-step explanation:
j is near to 1 so, j has greatest value
k has second great value
l has negative value
So,
l has least value also negative value.
please help me step by step
Answer:
should be just be like doubling everytime
Step-by-step explanation:
6 water and 4 powder
12 water 8 powder
18 water 12 powder
it's the same ratio so it should taste the same, like 3 water and 2 powder is going to taste the same as 18 water and 12 powder
The table below shows the probability distribution of student ages in a high school with 1500 students. What is the expected value for the age of a randomly chosen student?
Age: 13 14 15 16 17 18
Prob: 0.01 0.25 0.27 0.30 0.16 0.01
Answer:
15
Step-by-step explanation:
Expected value =prob(age)
(13*0.01)+(14*0.25)+(15*0.27)+(16*0.30)+(17*0.16)+(18*0.01)=15.38
round off to get 15
The expected value for the age of a randomly chosen student is 15.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.
Given:
Total number of students, n = 1500,
Age : 13, 14, 15, 16, 17, 18
Probability : 0.01, 0.25, 0.27, 0.30, 0.16, 0.01
Calculate the expected value as shown below,
[tex]E = x_1P_1 + x_2P_2+x_3P_3+x_4P_4+x_5P_5+x_6P_6[/tex]
E = 13 × 0.01 + 14 × 0.25 + 15 × 0.27 + 16 × 0.30 + 17 × 0.16 + 18 × 0.01
E = 0.13 + 3.5 + 4.05 + 4.8 + 2. 72 + 0.18
E = 15.38 ≈ 15
Therefore, the expected value for the age of a randomly chosen student is 15.
To know more about probability:
https://brainly.com/question/743546
#SPJ2
Combine Like terms: 9x + 3x + 4 + 6 *
Answer:
12x+10
Step-by-step explanation:
9x+3x=12x
and
4+6=10
At a dinner, the meal cost $22 and a sales tax of $2.09 was added to the bill. What is the tax rate for meals in this city?
Answer:
24.09 am I smart or what lol
Step-by-step explanation:
22 +2.09
PLEASE HELP WILL GIVE BRAINLY!!
In a sequence of numbers, a5 = -9, a6 = -14, a7 = -19, a8 = -24 and a9 = -29. Based on this information, which equation is used to find nth term in the sequenc
Please Help
3x^2-5x+2=0
Answer: C
Step-by-step explanation:
can you help me please
Answer:
The answers are:
2u = <10,2>-3u = <-18,-6>u+v = <11,3>3u-4v = <-9,-5>Step-by-step explanation:
Given vectors are:
u = <5,1>
v = <6,2>
The vectors are given in the form of ordered pairs, the operations can be applied on the coordinates of ordered pairs
Now,
[tex]2u = 2(5,1) = (10,2)[/tex]
[tex]-3v = -3(6,2) = (-18,-6)[/tex]
Now we have to add two vectors
In order to add two vectors, their respective coordinates are added:
So,
[tex]u+v = (5,1) + (6,2)\\= (5+6, 1+2)\\=(11,3)[/tex]
And
[tex]3u-4v = 3(5,1) - 4(6,2)\\= (15,3) - (24,8)\\= (15-24, 3-8)\\=(-9, -5)[/tex]
Hence,
The answers are:
2u = <10,2>-3u = <-18,-6>u+v = <11,3>3u-4v = <-9,-5>