Answer:
y=n^2+3n+4
Step-by-step explanation:
Sequence,S: 8,14,22,32 ,44, 58, 74...
First differences of S: 6,8,10,12,14,16,...
Second differences of S: 2,2,2,2,2,2,....
It is indeed a quadratic since the 1st differences that are the same are the second differences.
So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.
This means our quadratic it is in the form
y=an^2+bn+c where c=4.
So we have y=an^2+bn+4.
Now we can find a and b using two points from our sequence to form a system of equations to solve.
(1,8) gives us 8=a(1)^2+b(1)+4
Simplifying gives 8=a+b+4
Subtracting 4 on both sides gives: 4=a+b
(2,14) gives us 14=a(2)^2+b(2)+4
Simplifying gives 14=4a+2b+4
Subtracting 4 on both sides gives 10=4a+2b
So we have the following system to solve:
4=a+b
10=4a+2b
I'm going to solve using elimination/linear combination style.
Dividing second equation by 2 gives the system as:
4=a+b
5=2a+b
Subtract the 2nd equation from the first gives:
-1=-1a
This implies a=1 since -1=-1(1) is true.
If a+b=4 and a=1, then b=3. Because 3+1=4.
So the equation is y=1n^2+3n+4 or y=n^2+3n+4.
In ΔOPQ, the measure of ∠Q=90°, OQ = 39, QP = 80, and PO = 89. What ratio represents the cosine of ∠P?
Answer:
The cosine of angle P = opposite / adjacent = 39 / 80
Step-by-step explanation:
convert 0.25151 to a fraction
Answer:
25151/100000
Step-by-step explanation:
Help! What is the equation of the line shown in the graph?
Answer:
y = -x -2
Step-by-step explanation:
Slope = -1
y intercept is -2
Slope = [tex]\frac{-4-1}{2-(-3) }[/tex] = [tex]\frac{-5}{5}[/tex] = -1
Aaron's rear bicycle tire has too much air he removes 8 pounds of air so that his tire gauge now reads 53 pounds. How many pounds did he begin with? Use the equation p - 8 = 53
Answer:
61 pounds
Step-by-step explanation:
you rearrange the equation to make p the subject:
p-8=53
p = 8+53
p = 61
What is the solution for this equation:
Answer:
c) x=126
Step-by-step explanation:
tell me if I get it right
On a piece of paper graph f(x) 2x(3)^x then determine which graph represents the function
Answer:
ok
What do you want me to answer ?
please somebody help me with this please help ASAP
Step-by-step explanation:
I don't know what your teacher wants to hear here.
can you use and construct certain angles (particularly 90 degrees), can you use compasses ?
for me the best way would be to draw one side as given. then use compasses and draw a half-circle from each end point of the line above the line. both circles have the radius = the given diameter.
then draw the next 2 sides of the square up from the end points of the first line towards the half-circle that was drawn from the other point, so that the end point is exactly on the circle bow. and then connect the engaging endpoints of these 2 sides.
similar for the rectangle.
the only difference is that now for the two sides (which we don't know the length) we need to go up exactly 90 degrees until the lines hit the half-circles.
Please help!! I don’t understand this.
Find the antiderivative of the function. f(x)=10x+3
An antiderivative of a function is also known as integral of function. We are being ask to integrate the following function.
[tex]\int f(x)dx=\int 10x+3dx[/tex]
This function is relatively easy to integrate because its just a sum of terms with various exponents.
[tex]\int 10x+3dx=5x^2+3x+C[/tex]
To check, you can perform derivative on the function you got from antideriving. If it equals to the original function, then antiderivation procedure was done correctly.
[tex]\frac{d}{dx}5x^2+3x+C=10x+3=f(x)[/tex].
Et voilà.
Hope this helps.
Express -2.456 x 10 to the power of six in standard form
Answer:
-2,456,000
Step-by-step explanation:
-2.456 x [tex]10^{6}[/tex] = -2,456,000
What is the value of d?
A.100 B.84 C.50 D.80
Answer:
A. 100
Step-by-step explanation:
84
Step-by-step explanation:
c + 100 =180
c=180-100
c=80
100+96+d+c=360
100+96+d+80=360
276+d=360
d=360-276
d=84
Pls help ASAP
Compare and contrast how to graph: x=2 and y= -4
Answer:
plotting x = 2
see the x- axis look for the point x = 2(on right side of the origin ). Mark that point and draw a straight line parallel to the y- axis.
This is the graph of x = 2
plotting y = -4
see the y- axis and then look for the point y= -4 (that must be 4 units below the origin). Mark that point and draw a straight line parallel to the x- axis.
This is the graph of y = -4
we see that, the graph x = 2 is parallel to the y-axis whereas the graph y = -4 is parallel to the x- axis.
Please help!
Question:
Divide £40 in the ratio 3 : 7
Step-by-step explanation:
here's your answer hope it helps you
A tortoise moves forward 15 meters in one hour. It turns around and crawls 10 meters in the
next hour. Finally, in the third hour, it turns around again and crawls 8 more meters. How
much did the tortoise walk in total in 3 hours?
Answer:
Below.
Step-by-step explanation:
15+10+8=33.
Answer:
13 meters
Step-by-step explanation:
It went 15 meters, but then it went back 10 meters.
[tex]15-10=5[/tex]
Then it went 8 more meters.
[tex]5+8=13[/tex]
Hope this helped! Please mark brainliest :)
Latoya created a factor tree and wrote the prime factorization of 90 shown below.
A factor tree of 90. 90 branches to 9 and 10. 9 branches to 3 and 3. 10 branches to 2 and 5. The equation is 90 = 2 times 3 times 5.
What is Latoya’s error?
She should not have found the factors of 9.
She should have included an exponent of 2 on the 3.
She should have included 9 and 10 in the prime factorization.
She should have started the tree with 2 times 45.
Answer:
She should have included an exponent of 2 on the 3
Step-by-step explanation:
The factor tree can be presented as follows;
[tex]{}[/tex] 90
[tex]{}[/tex] ↓
[tex]{}[/tex] 9 ↔ 10
[tex]{}[/tex] ↓ ↓
[tex]{}[/tex] 3 ↔ 3 2 ↔ 5
Therefore, the prime factorization of 90 is equal to 90 = 3 × 3 × 2 × 5
She should have wrote, 90 = 3² × 2 × 5
Therefore, the error is that she should have included an exponent of 2 on the 3.
Answer:
B
✔ She should have included an exponent of 2 on the 3.
Step-by-step explanation:
E2021
Find P(5) given P(x) = 4 - 1
Answer:6
Step-by-step explanation:
sorry if im wrong
use the elimination method to solve the system of equations choose the correct ordered pair 7x+4y=39 2y+4y=14
[tex]x = 5 \: and \: y = 1.[/tex]
Step-by-step explanation:
[tex]7x + 4y = 39 \: - {eq}^{n} (1)[/tex]
[tex]2x + 4y = 14 \: \: - {eq}^{n} (2)[/tex]
Multiply Equation no (1) with 2 and Equation no (2) with 7.
[tex]14 x + 8y = 78.[/tex]
[tex]14x + 28y = 98.[/tex]
[tex]( - ) \: \: \: ( - ) \: \: \: ( - )[/tex]
[tex]0x + -20y = - 20[/tex]
[tex] - 20y = - 20[/tex]
[tex]y = \frac{ - 20}{ - 20} [/tex]
[tex]y = 1[/tex]
Substitute the value of "y" in Equation no (1)
[tex]7x + 4y = 39.[/tex]
[tex]7x + 4(1) = 39.[/tex]
[tex]7x + 4 = 39.[/tex]
[tex]7x = 39 - 4[/tex]
[tex]7x = 35.[/tex]
[tex]x = \frac{35}{7} [/tex]
[tex]x = 5.[/tex]
Answer:
[tex] \: 7x+4y=39 2x+4y=14 A. 5,4 B. 3,2 C. 5,1 D.[/tex]
Hope it helps
I need help with this question. Can you please help me. I’ll give you 18 points if it’s correct
Answer:
34.4
Step-by-step explanation:
Using Triangle Sum Theory, you see that the triangles are similar. They have the same angle measurements. That means their corresponding sides are proportional.
[tex]\frac{MN}{NO}[/tex] = [tex]\frac{PQ}{QR}[/tex]
[tex]\frac{14}{11}[/tex] = [tex]\frac{PQ}{27}[/tex]
Cross multiply
14(27) = 11(PQ)
378 = 11(PQ)
[tex]\frac{378}{11}[/tex] = PQ
PQ = 34.4
Consider the line 4x + 8y = -4.
a) What is the slope of a line perpendicular to this line?
b) What is the slope of a line parallel to this line?
Please help guys!
Use point slope formula please
Answer:
[tex]y - 2 = - \frac{6}{5} (x - 0)[/tex]
Step-by-step explanation:
The Point Slope formula is a algebraic formula used for
when we know it slope When we know a pair of coordinatesThe formula is
[tex]{y - y _1} = m(x - x_1)[/tex]
We are given its slope and we know a pair of points
Note a y intercept is (0,b). Where b is any real number so our points are (0,2).
Plug it in the expression
[tex]y - 2 = - \frac{6}{5} (x - 0)[/tex]
Which of these is an exponential parent function?
Complete question is;
Which of these is an exponential parent function?
A. f(x) = x
B. f(x) = 2^(x)
C. f(x) = x²
D. f(x) = |x|
Answer:
B. f(x) = 2^(x)
Step-by-step explanation:
> In option A, f(x) = x
This function depicts a straight line with intercept as 0 and slope as 1.
> In option C, f(x) = x²
This function depicts a parabola open up since the leading coefficient is greater than 0.
> In option D: f(x) = |x|
This function depicts a straight line y = x for x > 0 and y = -x for x < 0
In option B f(x) = 2^(x)
This function depicts an exponential function because the x is in the exponent form with a base of 2.
Which ones ARE in scientific notation?
a. 3.5X10^-2
b. 21.2X10^3
c. 1.4X10^5
d. 9.9432X10^-4
Answer:
C
Step-by-step explanation:
Cause C met the rules of scientific notation which is:
(First digit of the number) followed by (the decimal point) and then (all the rest of digits of the number) times (10 to an appropriate power)what is the measure of angle D?
Answer:
57
Step-by-step explanation:
It has been reported that the average credit card debt for college seniors is $3262. The student senate at a large university feels that their seniors have a debt much less than this, so it conducts a study of 50 randomly selected seniors and finds that the average debt is $2995, and the population standard deviation is $1100. At α = 0.05, is the student senate correct? a) State the hypotheses and identify the claim with the correct hypothesis
Answer:
Following are the solution to the given point:
Step-by-step explanation:
The formulated null hypothesis would be that the reported average do not differ significantly
[tex]H_o : \mu = \$3262\\\\H_a : \mu < \$3262 \ \text{(One tailed test)}[/tex]
Lorraine computed a confidence interval for µ based on a sample of size 41. Since she did not know σ, she used s in her calculations. Lorraine used the normal distribution for the confidence interval instead of a Student's t distribution. Will her interval be longer or shorter than one obtained by using an appropriate Student's t distribution? Explain.
Answer:
Shorter
Step-by-step explanation:
When given the population standard deviation, σ, the normal distribution should be used. However, if the sample standard deviation is being used, the t distribution should be used. The implication of using a normal distribution in Lorraine's case when using the sample standard deviation which requires the use of the T - distribution is that, the interval beacjbea smaller as the critical value obtained is smaller than the T critical value with degree of freedom, n - 1 ; 41 - 1 = 40
At α = 0.05 ;
Tcritical, df = 40 = 2.02
Zcritical = 1.96
Find the H.C.F. of the following numbers using division method
(a) 24, 40
Answer:
Ok
Thank you for
your time
find the angles of the triangle if they are proportional to the following 3 4 5
Answer: 90, and 1600 degrees.2500
Step-by-step explanation:
If the angles are proportional to 3, 4, 5,Then the angle measures are 3x, 4X and 5X
Step-by-step explanation:
Answer:
45 60 75
Step-by-step explanation:
Let's call the angles 3 x , 4 x and 5 x
They must add up to 180 o in a triangle, so:
3 x + 4 x + 5 x = 12 x = 180 → x = 180 / 12 = 15 So the angles are:
3 ⋅ 15 = 45 o 4 ⋅ 15 = 60 o 5 ⋅ 15 = 75 o Check answer:
45 + 60 + 75 = 180
this is too hard for me lol
Answer:
<16 should be 70 degrees. Correct me if I'm wrong.
Answer:
70°
Step-by-step explanation:
[tex]m \angle \: 1 + m \angle \: 2 = 110 \degree...(given) \\ \\ m \angle \: 11 + m \angle \:1 2 = m \angle \: 1 + m \angle \: 2 \\ (corresponding \: \angle s) \\ \implies \: m \angle \: 11 + m \angle \:1 2 = 110 \degree \\ \\ now \: \\ m \angle \: 14 + m \angle \:1 5 = m \angle \: 1 1+ m \angle \: 12 \\ (vertical \: \angle s) \\ \implies \: m \angle \: 14 + m \angle \:1 5 = 110 \degree \\ \\ m \angle \: 13 = m \angle \: 16 \: \\ (vertical \: \angle s) \\ \\next \\ m \angle \: 1 1+ m \angle \: 12 + m \angle \: 1 3+ \\ m \angle \: 14 + m \angle \: 1 5+ m \angle \: 16 = 360 \degree \\ \therefore \: (m \angle \: 1 1+ m \angle \: 12 ) + (m \angle \: 1 4+ \\ m \angle \: 15) + m \angle \: 1 3+ m \angle \: 16 = 360 \degree \\ \therefore \:110\degree + 110 \degree + m \angle \: 1 6+ m \angle \: 16 = 360 \degree \\ 220 \degree + 2m \angle \: 16 = 360 \degree \\ 2m \angle \: 16 = 360 \degree - 220 \degree \\ 2m \angle \: 16 = 140 \degree \\ \therefore \: m \angle \: 16 = \frac{140 \degree}{2} \\ \\ \huge \red{ \therefore \: m \angle \: 16 =70 \degree}[/tex]
i need help asap like right now!!! MWEN BEZWEN ÈD AK MATEMATIK MWEN AN.
Answer:
i guess it is "not enough information"
Three friends went to a book shop the first bought three bros and four pencils for $30.00. The second bought two Bros and five pencils for $27.00 . If the third bought a bro and a pencil only how much did they pay .
Answer:
total 66$
Step-by-step explanation:
let price of bro s be x and pencil be y
according to Qn
at 1 cond
3x+4=30____(1)
2x+5y=27____(2)
solve botth and get value of each bros and pencil and then at last add,30$,27$,6$,3$