Answer:
£12
Step-by-step explanation:
Mathematically, we know that the mean is calculated by dividing the sum of the numbers by the count of the numbers.
Now, when they were 6 and the mean is £5, this means that the total is simply
6 * 5 = £30
Now, when a new student join, there is an increase in the value of the mean.
A new student joining means they are now 7 with the total now 7 * £6 = £42
Now the difference between the total of 6 and 7 will be £42 - £30 = £12
This value represents what the new pupil receive each week
Prove that for any complex polynomial ^=−1,
the sum of the roots is zero. (Please state any theorem used).
Answer:
I dont get this ??
Step-by-step explanation:
(a) The first term of a sequence is -5
The rule for continuing the sequence.
Multiply by 4
then
Subtract 3
What is the second term of the sequence?
Answer:The second term is -23
Step-by-step explanation:
Step 1- multiply
4x-5=-20
Step 2- subtract
-20 - 3=-23
Please help me with my question!!
Answer:
B
Step-by-step explanation:
If two lines are parallel, then their slopes are equal.
Line 1: y = 2x + 6
slope = 2
Line 2:
(1 , 5) ; (3,9)
[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{9-5}{3-1}\\\\=\frac{4}{2}\\\\=2[/tex]
Slope of line 1 = slope of line 2 = 2
So, line 1 and line 2 are parallel
Someone please help me
Answer:
x=4
Step-by-step explanation:
x+8=9*(4/3)
x+8=12
x=4
Brainliest plus a thanks?
Which of the following best describes the set for {whole
*3
numbers between an
2
A) {-1, 0, 1, 2}
C) {0, 1, 2
B) {0, 1, 2, 3}
D) {1, 2}
Answer:
The whole number between 2 is {0,1,2}
What is the constant term in (2x+9)(x-4)(x+5)
Answer:
[tex]-180[/tex]
Step-by-step explanation:
[tex]\left(2x+9\right)\left(x-4\right)\left(x+5\right)[/tex]
[tex]\left(2x^2+x-36\right)\left(x+5\right)[/tex]
[tex]2x^3+11x^2-31x-180[/tex]
Answer:
-180
Step-by-step explanation:
(2x+9)(x-4)(x+5)
The constant term is
9*-4*5
-180
Which inequality is true
The first one on the left.
The vertical bars mean we take the absolute value of that number.
Absolute value means distance from zero on a number line.
So the absolute value of any number
is the positive version of that number.
So for the one on the left we have |-100| > |50|.
Since absolute value represents the positive version
of a number, the absolute value of -100 will be 100.
Since |50| is already positive, it stays the same.
So we have 100 > 50 which is indeed a true statement.
If you solve the other ones, you will see that they are false.
Answer:
the first one on the left side
Step-by-step explanation:
write 10 examples of cuboid in our daily life
Answer:
Ten examples of cuboids in our daily lives are:
1.Shoeboxes
2.Bricks
3.Matchbox
4.Books
5.Mattresses
6. Juice box
8. Fridge
9.Bathroom cubicle
10.Cabinet
Step-by-step explanation:
I really hope this helps
Which of the following is most likely the next step in the series?
A.
B.
C.
D.
Answer:
B
Step-by-step explanation:
each time the step changes, the amount of vertices(points) increases by 1. the last number of points was 4, so if you increase 4 by 1 you will get 5. figure B has 5 points!
Answer:
Option B
Step-by-step explanation:
With the circle series, there is a figure with an increasing number of points that are on the circle.
Circle one has two dots, circle two has three dots, circle three has four dots, etc.
It would make the most sense if the circle in the next series have five dots.
Option B should be the correct answer.
Please help with this asap, thank you !!
Answer:
The cylinder is cheaper to make because it has less surface area.
Step-by-step explanation:
In order to find the surface area of a cylinder, you do 2πrh+2πr²
We need the radius, which is half of the diameter, so then we have 2π(3·12)+2π·3² which gets us 282.72
We also need the surface area of the rectangular prism which we can get by 7x4 + 7x4 + 12x7 + 12x7 + 12x4 + 12x4 which gets us 320
282.72 < 320
FAST ANSWER PLEASE THANKS
Answer: D
Step-by-step explanation:
When you are asked what is the domain, you are basically asked what x values work for the function.
Multiply the function to get [tex]xe^x + 6e^x[/tex]
[tex]e^n[/tex], n being any real number, is defined for every value you input for n. So its domain is all real numbers
Its range is also all real numbers because the domain is continous for every single value you plug in
Given the sinusoidal function, g(x) =3[sin 2(x – 90°)]-1
Sketch g(x), using transformations of y = sinx, for two cycles
using either a transformation table or graphs.
Answer:
twetwe. eet wvjhcjh
Step-by-step explanation:
wetwetwet wte ucytc
Hi there I need help with this please
Answer:
4(x-6)=45
Step-by-step explanation:
x is the number
so a number decreased by six
x-6
all multiplied by 4
4(x-6)
is 45
4(x-6)=45
If f(x)=V1/2x-10+3, which inequality can be used to find the domain of f(x)
Answer:
It’s the third option
Step-by-step explanation:
I took the quiz
Which of the following are like terms?
12x
A
-8
3x2
15x
-X
x
Answer:
12x, 15x, -x, and x are like terms.
Step-by-step explanation:
These are terms that can be combined together in equations because they are multiplied by the same term or they are integers, etc. (BTW, I'm not sure if 3x2 means 3 times 2 or 3 times x times 2, if it is 3 times x times 2, then that is also a like term!)
Answer:
12x
15x
-x
Included whole page!
☆
EDGE2022; Good Luck :3!!!
Select the correct answer. In 2010, there were 400 frogs in the lake at a local nature preserve. Each year, the population of frogs grows by 10%. Which equation accurately describes the population of frogs, f(x), x years after 2010?
a) f(x) = 0.1(400)^x
b) f(x) = 10(400)^x
c) f(x) = 400(1.1)^x
d) f(x) = 400(0.1)^x
Answer:
400
Step-by-step explanation:
5=4=78+400
Answer: f(x)=400(1.1)^x
Step-by-step explanation:
Tony wants to put $318,000 in his retirement savings account. It earns an interest rate of 7.1% compounded quarterly. He wants to determine how much he will have in the account after 5 years, even if he makes no additional contributions or withdrawals to the account
A. $448099.52
B. $347242.34
C. $452115.44
D. $341186.28
which answer correct
Answer:
It is b
Step-by-step explanation:
Hope it helps
What is the value of y in the equation 6.4x + 2.8y = 44.4, when x = 3? y = 5 y = 6 y = 8 y = 9
Answer:
9
Step-by-step explanation:
6.4x + 2.8y = 44.4
x=3, substituting it in the expression above we have :
6.4(3) + 2.8y = 44.4
19.2 + 2.8y = 44.4
2.8y = 44.4 -19.2 = 25.2
y = 25.2 / 2.8 = 9
Answer:
y=9
Step-by-step explanation:
6.4x + 2.8y = 44.4
x=3, y=?
6.4*3+2.8y= 44.42.8y= 44.4- 19.22.8y= 25.2y= 25.2/2.8y= 9Write four rational numbers between a.2/3 and 4/5 b.-3/2 and 5/3
Answer:
a. 3/4, 7/9, 15/19, 31/39
b. -1, 0, 1, 4/3
Step-by-step explanation:
Pick any number that you can write into a fraction that lies between the 2.
A(n) _____ generally has a highly elliptical orbit. A. moon B. comet C. planet D. asteroid
Answer:
b
Step-by-step explanation:
Answer:
B comet
Step-by-step explanation:
Orbit of a Comet. Comets go around the Sun in a highly elliptical orbit. They can spend hundreds and thousands of years out in the depths of the solar system before they return to Sun at their perihelion. Like all orbiting bodies, comets follow Kepler's Laws - the closer they are to the Sun, the faster they move.
Please BRAINLIEST!
Which of the following is a rational number but NOT an integer?
a. √2
b. -2
c. 2
d. 1/2
d. is a rational number.
Because it shows halfs and and halfs is a ratio.
And it shows this symbol (/)
Answer:
The answer is D.
Step-by-step explanation:
Rational number is a number that can be written in the form of fraction, a/b .
Integer is a positive or negative number.
Krishne wants to measure the mass and volume of a key. Which tools should she use?
Answer:
a balance and a beaker of water
hope it helps mark as brainliest
Answer:
water and beaker, and other science tools
Step-by-step explanation:
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
The lengths of two sides of a triangle are 3 inches and 8inches. Find the range possible for lengths for the third side, s.
Answer:
Using triangular inequality:
[tex]0< s\leq 3+8\\\ 0<s\leq 11\\[/tex]
Expand & simplify: (x + 1)(x + 3)
Answer:
368
Step-by-step explanation:
Answer:
x squared+ 4x + 4
Step-by-step explanation:
if x=-1\3 is a zero of a polynomial p(x)=27xcube -axsquare -x+3 then find the value of a
Answer:
a = 21
Step-by-step explanation:
If x = h is a zero of a polynomial then f(h) = 0, thus
p(- [tex]\frac{1}{3}[/tex] ) = 27( - [tex]\frac{1}{3}[/tex] )³ - a(- [tex]\frac{1}{3}[/tex] ) - (- [tex]\frac{1}{3}[/tex] ) + 3 = 0, that is
27 (- [tex]\frac{1}{27}[/tex] ) - [tex]\frac{1}{9}[/tex] a + [tex]\frac{1}{3}[/tex] + 3 = 0
- 1 - [tex]\frac{1}{9}[/tex] a + [tex]\frac{10}{3}[/tex] = 0 ( multiply through by 9 to clear the fractions )
- 9 - a + 30 = 0
- a + 21 = 0 ( subtract 21 from both sides )
- a = - 21 ( multiply both sides by - 1 )
a = 21
in your own words what is a polygon
Step-by-step explanation:
A polygon is a shape with at least three straight lines and angles
please answer asap the photo is below
Answer: 1; -5
Step-by-step explanation:
For this problem, we are asked to find the slope and y-intercept.
We see that this linear line goes through the y-axis at (0,-5). therefore, our y-intercept is -5.
To find the slope, we would use the formula [tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]. We can use the points (0,-5) and (5,0) since we can clearly see the line goes through these 2 points.
[tex]m=\frac{0-(-5)}{5-0} =\frac{5}{5} =1[/tex]
From our formula, we found that the slope is 1.
For the first box, you would fill in 1, the slope. The second box would be -5, the y-intercept.
Answer:
y = x - 5
Step-by-step explanation:
One can immediately read off the slope, m, from the graph: m = 5 / 5 = 1.
The y-intercept is (0, -5).
In slope-intercept form the equation of this graph is y = x - 5
Probability Race game
Read the whole thing even the scenario
Question 2: Why is picking horse 1 a really bad idea? What is its probability of winning?
Answer:
P(1) = 0
Step-by-step explanation:
The sum of 1 is impossible so that horse will never get to move
The probability of winning is zero
Answer:
p(1) = 0
Step-by-step explanation:
The horse can't move at all (why it's a bad idea)
The probability of winning is 0
Hope this helps!
What is true of the given function? The function increases at a constant additive rate. The function increases at a constant multiplicative rate. The function has an initial value of 0. As each x value increases by 1, the y values increase by 1.
Answer;
Option B is correct.
The function increases at a constant multiplicative rate.
Step-by-step Explanation:
Complete Question
A table representing the function f(x) = 2(3/2)ˣ is shown below. What is true of the given function?
x | f(x)
0 | 2
1 | 3
2 | 4.5
3 | 6.75
a) The function increases at a constant additive rate.
b) The function increases at a constant multiplicative rate.
c) The function has an initial value of 0.
d) As each x value increases by 1, the y values increase by 1.
Solution
The function provided is
f(x) = 2(3/2)ˣ
We will take as h of the options one at a time to investigate which one is true.
a) The function increases at a constant additive rate.
A function that increases at an additive rate is one whose value as x increases, also changes with a constant difference between consecutive terms. That is, the consecutive terms of the functions for consecutive whole number values of x, will be like an Arithmetic progression with a constant common difference. If this function increased at an additive rate,
f(1) - f(0) = f(2) - f(1) = f(3) - f(2)
Inserting the values
3 - 2 = 4 5 - 3 = 6.75 - 4.5
1 ≠ 1.5 ≠ 2.25
Hence, this statement isn't true.
b) The function increases at a constant multiplicative rate.
For the function to increase at a multiplicative rate, the consecutive terms of the functions for consecutive whole number values of x will behave like a geometric progression with a common ratio. That is, the division of the (n+1)th term and the nth term of the function will always be a constant. That is,
f(1) ÷ f(0) = f(2) ÷ f(1) = f(3) ÷ f(2)
Inserting the values
(3/2) = (4.5/3) = (6 75/4.5)
1.5 = 1.5 = 1.5
The ratio is truly constant, hence, we can conclude that this statement is true and the function increases at a constant multiplicative rate.
c) The function has an initial value of 0.
For this to be true, f(0) = 0.
But from the table, it is evident that f(0) = 2, hence, the initial value of the function isn't 0 and this statement is false.
d) As each x value increases by 1, the y values increase by 1.
We've already checked the difference between consecutive terms of the functions for consecutive whole number values of x, the difference includes, 1, 1.5 and 2.25. Hence, as each x value increases by 1, the y values do NOT always increase by 1 and this statement is false.
Hope this Helps!!!
Answer:
B
Step-by-step explanation:
