Answer:
[tex]n = 5[/tex]
Step-by-step explanation:
Given
[tex]2(n+1)! + 6n! = 3(n+1)![/tex]
Required
Find n
Simplify (n + 1)!
[tex]2(n+1)*n! + 6n! = 3(n+1)*n![/tex]
Factorize
[tex]n![2(n+1) + 6] = 3(n+1)*n![/tex]
Divide both sides by n!
[tex]2(n+1) + 6 = 3(n+1)[/tex]
Open brackets
[tex]2n + 2 + 6 = 3n + 3[/tex]
[tex]2n + 8 = 3n + 3[/tex]
Collect like terms
[tex]2n - 3n = 3 -8[/tex]
[tex]-n =-5[/tex]
Multiply both sides by -1
[tex]n = 5[/tex]
Consider a person from birth to age 18 and the height of that person each of the years between birth and age 18. Which best describes the variables of age and height?
no correlation
positive correlation
negative correlation
Answer:
Seems to be no correlation at all.
Answer:
anges between -1 and +1 and quantifies the direction and strength of the linear association between the two variables. The correlation between two variables can be positive (i.e., higher levels of one variable are associated with higher levels of the other) or negative (i.e., higher levels of one variable are associated with lower levels of the other).
The sign of the correlation coefficient indicates the direction of the association. The magnitude of the correlation coefficient indicates the strength of the association.
For example, a correlation of r = 0.9 suggests a strong, positive association between two variables, whereas a correlation of r = -0.2 suggest a weak, negative association. A correlation close to zero suggests no linear association between two continuous variables.
It is important to note that there may be a non-linear association between two continuous variables, but computation of a correlation coefficient does not detect this. Therefore, it is always important to evaluate the data carefully before computing a correlation coefficient. Graphical displays are particularly useful to explore associations between variables.
The figure below shows four hypothetical scenarios in which one continuous variable is plotted along the X-axis and the other along the Y-axis.
Step-by-step explanation:
Find the slope of the line
5x - 5y = 7
slope of this line is 1....
PLS HELP ME THIS IS Probability (Single event) PLS HELP ME
Answer:
Hi! The answer to your question is D. 7/6
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
What is the axis of symmetry for y=8x2+2x−6?
Answer:
y=2( x - [tex]2^{2}[/tex])-2
Step-by-step explanation:
Use the vertex form, y=a(x - [tex]h^{2}[/tex])+k to determine the values of A,H,K
a=2
h=2
k= -2
Since the value of a is positive the parabola opens up.
Find the vertex (h,k)
(2, -2)
Find p the distance from the vertex to the focus.
[tex]\frac{1}{8}[/tex]
Find the focus
(2, -[tex]\frac{15}{8}[/tex])
Find the axis of symmetry by finding the line that passes through the vertex and the focus.
x=2
Select all the expressions equivalent to: (4^5)⋅4^3 Group of answer choice 2^14 4^12 2^16 16^8 4^8 16^4
Answer:
Choices given as [tex]2^{16}, 4^8[/tex] and [tex]16^4[/tex] are correct.
Step-by-step explanation:
Given expression is,
[tex](4^5)(4^3)[/tex]
By applying law of exponents in the given expression,
[tex](4^5)(4^3)=4^{5+3}[/tex]
[tex]=4^8[/tex]
[tex](4^5)(4^3)=(2^2)^5(2^2)^3[/tex]
[tex]=(2^{2\times 5})(2^{2\times 3})[/tex]
[tex]=2^{10}\times 2^6[/tex]
[tex]=2^{16}[/tex]
[tex]=(2^4)^4[/tex]
[tex]=(16)^4[/tex]
Therefore, choices given as [tex]2^{16}, 4^8[/tex] and [tex]16^4[/tex] are correct.
Please help worth 30 points it’s geometry.
I have a grade check tmr and I have an F in geometry please help!!!
Answer:
everything is in the photo
enter the value for x that makes the equation 4x-2+3x-7 true
Answer:
I think the answer is
[tex]x = \frac{9}{7} [/tex]
Step-by-step explanation:
Reason :
[tex]4x - 2 + 3x - 7 = 0 \\ collect \: like \: terms \\ 4x + 3x - 7 - 2 = 0 \\ 7x - 9 = 0 \\ 7x = 9 \\ x = \frac{9}{7} [/tex]
Therefore
[tex]x = \frac{9}{7} [/tex]
Help please will give brainiest!
Write the equation of the line in Slope-Intercept form.
Answer:
Y=-2/3+4
Step-by-step explanation:
The slope of the equation can be solved with
2-4/3-0 y2-y1 divide by x2-x1 which gives 3/2 and the y intercept the point at which the slope hits the y intercept which is 4. Also the slope is negative as it’s pointed downwards.
Getting the slope:
m=[tex](y_1 - y_2 )/(x_1 - x_2)[/tex]
Using this formula, the slope is calculated to be -2/3
To find intercept, plug in a point value into equation and solve.
Intercept = 4
Total equation: y=-2/3x + 4
Pls help
Pls help
Pls help
Answer:
Step-by-step explanation:
this will be the outter circle minus the inner circle for the area of the sidewalk
area of circle = [tex]\pi[/tex][tex]r^{2}[/tex]
[tex]\pi[/tex][tex]11^{2}[/tex] = 380.1327
[tex]\pi[/tex][tex]9^{2}[/tex] = 254.469
380.1327 - 254.469 =125.6637062[tex]m^{2}[/tex]
Marcy mailed a package weighing1.337 kilograms. How does the value represented by the 3 in the tenths place compare with the value represented by the 3 in the hundredths place?
If a number has a decimal point , then the first digit to the right of the decimal point indicates the number of tenths. The second digit to the right of the decimal point indicates the number of hundredths.
In this case the .3 indicates 3/10ths of a kilogram. or 300 grams!
In the other case 0.03 indicates 3/100ths of a kilogram or 30 grams!
So, to compare the two:
the tenths decimal is 10 times bigger than the decimal in the next spot (hundredths)
Hope this helps!
Please third time asking I’ll mark brainliest
Answer: A≈440.44
Step-by-step explanation:
Answer:
1,536
Step-by-step explanation:
i calculated it
A right triangle has legs that are 18 centimeters and 27 centimeters long
What is the length of the hypotenuse?
__cm
Answer:
32
Step-by-step explanation:
use the formula [tex]a^{2} +b^{2} =c^{2}[/tex] instead of a put 18 and instead of b put 27 it should look something like this [tex]\sqrt{18^{2}+27^{2} }[/tex] which is 32
ANSWER BRAINLIEST:
Kim asked 6 friends how many siblings they had. The responses were: 0, 3, 2, 1, 1, 2, 3.
Find the MEAN ABSOLUTE DEVIATION (MAD) of the responses.
Answer:
number 1 will be the Mean absolute deviation
Find the surface area of the figure below. Round your answer to the nearest hundredth if necessary.
6 in
8 in
7 in
7 in
8 in
292 in
Oь
347 in
236 in?
Od
391 in
Answer:
The surface area of the shape is 292 in^2
Step-by-step explanation:
Here, we want to find the surface area of the cuboidal shape
Mathematically, the area of a cuboid can be calculated using the formula;
A = 2(lb + lh + bh)
where l is the length which is 7 inches
b is the breadth which is 6 cm
h is the height which is 8 cm
Substituting these values, we have
A = 2((8 * 6) + (7 * 6) + (8 * 7))
A = 2(56 + 42 + 48)
A = 2 * 146
A = 292 in^2
If f(x) =2x+4 and g(x)=1-x, then which of the following represents y=f(x)+g(x)?
Answer:
y = x +5
Step-by-step explanation:
2x +4 + 1-x = x +5
hope this helps
The ages of customers at a store are normally distributed with a mean of 45 years and a standard deviation of 13.8 years.
(a) What is the z-score for a customer that just turned 25 years old? Round to the nearest hundredth.
(b) Give an example of a customer age with a corresponding z-score greater than 2. Justify your answer.
Best answer gets brainliest!
The Standard Normal distribution follows a normal distribution and has mean 0 and ... z = s. Example. Find the z-score corresponding to a raw score of 132 from a ... be less than a given value, greater than a given value, or in between two values. ... P(z < 2.37). Solution. We use the table.
Find the value of x and y that will make each quadrilateral a parallelogram.
Step-by-step explanation:
2x+5=3x-12
or, 2x-3x=5-12
or, -x= -7
i.e X=7
again
y+4=3x+2
or, y+4=3*7+2
or, y+4=21+2
or, y+4=23
or, y =23-4
i.e y = 19
hence, the value of X is 7 and y is 19
The cost of electricity is obtained as follows: A fixed charge of $(a), rent of a meter $(b) and a charge of (c) cents for unit of electricity supplied Determine the total cost of using n units of electricity.
Answer:
$(a + b) + cn cent
Step-by-step explanation:
Given :
Fixed charge = $a
Rent of a meter = $b
Charge per unit of electricity = c cents
The total cost of using n units of electricity :
For n units of electricity ;
Fixed charge is paid once
Meter rent is paid once
The cost of electricity = (number of units * cost per unit) = (n * c) = nc cents
Total cost of n units of electricity :
$(a + b) + cn cent
What two numbers multiply to +34 and add to -19
Answer:
17 * 2 = 34
-10 + (-9) = -19 or -29 + 10 = -19
Step-by-step explanation:
For the first question, divide 34 * 2 and you get 17, DOUBLE CHECK YOUR ANSWER!
17*2 = 34 ✔
For the second, mess around with a few numbers add +10 and -29, COUNT DOWN from 10 and -29.
since + + + = + then - + - = -
if 10+9=19 then do the same with -
-10 + (-9) =-19
~R3V0
Answer:
-17, -2 work for both of them
Step-by-step explanation:
An event planner can set up 6 tables in 30 minutes. How many tables can the event planner set up in 4.5 hours?
First convert 4.5 hours to minutes
4.5 hours = 270 minutes
6:30 = ?:270
Divide 270 and 30
270/30 = 9
Then multiply 6 and 9
9*6 = 54
The event planner can set up 54 tables in 4.5 hours(270 minutes)
54 tables
80 pts !!
Which of the following expressions can you multiply using the FOIL Method? Check all that apply.
A. (x - 1) (x^2 + 2x + 5)
B. (6x - 5) (x + 4)
C. 3x (2x^2 + 5x - 4)
D. (x + g) (x - h)
Answer:
I think B,D is the best answer.
Answer:
B and D.
Step-by-step explanation:
B and D,
(6x - 5)((x + 4) =
6x * x + 6x*4 - 5* x - 5 * 4
F O I L
Find the area of this parallelogram. Be sure to include the correct unit in your answer. 14 m 6 m 8 m
Answer:
question what number is on the top or bottom of the parallelagram
Step-by-step explanation:
and what is on the left or right of the parallorgram I need to know to help you
The area of the parallelogram will be 98 square feet.
What is a parallelogram?It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
Let h be the perpendicular distance between the parallel side and b be the length of the base of the rectangle.
Then the area of the parallelogram will be given as,
Area of parallelogram = b x h
The length of the base of the parallelogram is 14 feet, and the value of h is 7 feet.
Then the area of the parallelogram will be
Area pf parallelogram = 14 x 7
Area pf parallelogram = 98 square feet
Then the area of the parallelogram will be 98 square feet.
The complete question is given below.
More about the parallelogram link is given below.
https://brainly.com/question/1563728
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the exact volume is ___ pi cm^3
Answer: 54π
Step-by-step explanation: volume = π · r^2 · h
a gping out if bisinuess sale has the entire store marked 80./. off
Answer:
huh- So lemme get this straight if a dollar tree (where I live) goes out of business I can buy it for like 20 cents??? AWESOME. I'll do that.
Step-by-step explanation:
I need help please!!
Simplify the expression.
Please I need help
Thank you
You cant simplify further than that. Look at the file attached to this.
EDIT:
If that was wrong, try,
= -8xChris examines a salt crystal under his microscope. He finds that it is a cube with each side length 6
millimeters.
Answer:
if each side is 6 millimeters and its a cube what is 6x4
Step-by-step explanation:
PLS HELP IF U DONT KNO DONT ANSWER PLS
Answer: A, I think
Step-by-step explanation:
Answer:
Step-by-step explanation:
→ Thanks ← God bless keep ur head up king/queen and have a good rest of ur day
Which expression gives the solutions of -5 + 2x^2 = -6x?
Answer:
the correct answer is: D
I need this answer please
Answer:
D
Step-by-step explanation:
The pattern is clear
4x+10 in which x is how ever many games are rented at once. So, 4(1)+10 = 14
Same for 3x+15