Answer:
Step-by-step explanation:
we need to keep in mind that what you do to the bottom of the fraction is the same you do to the top of the fraction
Find a8 when a1= 9, d = 4 of the arithmetic sequence whose first term is a1 and common difference is d.
General Arithmetic Terms
[tex] \displaystyle \large{a_n = a_1 + (n - 1)d}[/tex]
We want to find a8; we know:
a1 = 9d = 4Substitute in the formula.
[tex] \displaystyle \large{a_n = 9 + (n - 1)4} \\ \displaystyle \large{a_n = 9 + 4n - 4} \\ \displaystyle \large{a_n = 4n + 5}[/tex]
To find a8, substitute n = 8
[tex] \displaystyle \large{a_8= 4(8) + 5} \\ \displaystyle \large{a_8= 32 + 5} \\ \displaystyle \large{a_8= 37}[/tex]
Hence, the 8th term of sequence is 37
Need help for this question. ASAP
Answer:
Data set A1, 2, 2, 2, 3, 4, 5Mean = (1 + 2*3 + 3 + 4 + 5)/7 = 2.71Mode = 2Median = 2Mean > median ⇒ Skewed rightData set B1, 2, 3, 4, 4, 4, 5, 6, 7Mean = (1 + 2 + 3 + 4*3 + 5 + 6 + 7)/9 = 4Mode = 4Median = 4Mean = median ⇒ SymmetricalData set C1, 1, 2, 2, 3, 3, 4, 4Mean = (1*2 + 2*2 + 3*2 + 4*2)/8 = 2.5Mode = noneMedian = (2+3)/2 = 2.5Mean = median ⇒ UniformData set D1, 2, 3, 4, 5, 5, 5, 6Mean = (1 + 2 + 3 + 4 + 5*3 + 6)/8 = 3.875Mode = 5Median = (4+5)/2 = 4.5Mean < Median ⇒ Skewed leftI need help with #28
9514 1404 393
Answer:
13
Step-by-step explanation:
If we assume that points P, Q, R, S are in that order on a arc centered at O, then we have ...
∠POQ +∠QOS = ∠POR +∠ROS
∠ROS = ∠POQ +∠QOS -∠POR
∠ROS = 28 +46 -61 = 13
equivalent expressions-8(3r-4)-6
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{-8 (3r - 4) - 6}[/tex]
[tex]\huge\text{= -8(3r) + (-8)(-4) - 6}[/tex]
[tex]\huge\text{= -24r + 32 - 6}[/tex]
[tex]\huge\boxed{\textsf{COMBINE the LIKE TERMS}}[/tex]
[tex]\huge\text{= -24r + 6}[/tex]
[tex]\huge\boxed{\mathsf{Answer: {= -24r + 6}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Can I please have some help fast
Answer:
The second one
Step-by-step explanation:
In that table, all the numbers in the column B can be found multiplying the numbers of column A by 4, and that's a property of ratio
If 32^2^c= 8^cC+7, what is the value of c?
Answer:
C=3
Step-by-step explanation:
what is an acid or a base
an acid is a substance that donates protons ( in the brønsted - lowry definatiom) or accepts a pair of balance electrons to form a bond ( in the Lewis definition ) .
A base is a substance that can accept protons or donate a pair of valence electrons to form a bond . bases can be thought of as the chemical opposite if acids .
hope this helps you
mrk me braniliest plz
Answer:
a acid is a substance that can donate protons . or accepts the balance protons to form a bond .
a base is a substance that can accept protons or donate a pair of valence electrons to form a bond .
Write the equation of a line that passes through ( 4, 6), and has a slope of 1/3
Answer:
y = 1/3x + 14/3
Step-by-step explanation:
y = mx + b
we know the slope, so the equation would be --> y = 1/3x + b
Now we plug in the coordinates of the given point (4, 6) the line goes through, and solve for b:
y = 1/3x + b
6 = 1/3(4) + b
6 = 4/3 + b
-4/3 -4/3
----------------
14/3 = b
6927÷19 plz help me
Help please! What is the length of the highlighted side? (Show work)
Answer:
7
Step-by-step explanation:
15ft - 8ft
At a cost of $8 per pound, how many ounces of rolled oats can be bought for $4.70?
Answer: 9.4 ounces.
Step-by-step explanation:
There are 16 ounces in a pound. We are given the going rate of $8/pound which we can convert into $8/16 ounces. This can be simplified by dividing both sides by 8, which gives us the rate of $1/2 ounces. We now apply this ratio to the amount of money we have, 4 dollars and 70 cents. The 4 dollars translates into 8 ounces via the ratio. For the 70 cents, we can again change the ratio to 10 cents / 0.2 ounces (divide both sides by 10 - $1 is equal to 100 cents). This would mean that we could buy 0.2*7 ounces with the 70 cents, which equals 1.4 ounces. We add the 8 ounces from the 4 dollars and the 1.4 from the 70 cents to get 9.4 ounces.
Which of the following is true, according to the graph?
There is a much larger preference for science among those who prefer R&B.
There is a much larger preference for English among those who prefer rock.
There is a much smaller preference for math among those who prefer country.
The percentages for class preference are relatively the same among the different music groups.
Answer:
a one is right answer
Step-by-step explanation:
h.j.j.k kaoa0
A tower is 320 feet tall. A model is being built for an architecture project and the model is 8 inches tall. Write the
information that completes the scale for the model. Complete them so the 320 foot height of the tower and the 8 inch height
of the model are still valid for every case.
16 inches : ______ feet
Answer:
640 feet
Step-by-step explanation:
8 = 320
16 = 640
Answer:
640
Step-by-step explanation:
8-->16
320-->640
If other factors are held constant, how does sample size influence the likelihood of rejecting the null hypothesis and measures of effect size such as r^2 and Cohen's d?A) A larger sample increases both the likelihood and measures of effect size.B) A larger sample increases the likelihood but has little influence on measures of effect size.C) A larger sample decreases the likelihood but has little influence on measures of effect size.D) A larger sample decreases both the likelihood and measures of effect size.
Answer:
2000
Step-by-step explanation:
simplify
-12 divided by 3 x (-8 + (-4) ^2 - 6) + 2
[tex] \large \mathfrak{Solution : }[/tex]
-12 ÷ 3 × (-8 + (-4)² - 6) + 2-12 ÷ 3 × (-8 + 16 - 6) + 2-12 ÷ 3 × 2 + 2 -4 × 2 + 2-8 + 2-6I know the answer don’t know how though
Answer:
16384Step-by-step explanation:
As,
[tex] {2}^{15} [/tex]
Meaning that 2 multiplied 15 times here,
Equals 32 768
Now,
[tex] {2}^{14} [/tex]
Meaning that 2 multiplied 15 times then divided by one time 2,
Equals 32 768 ÷ 2 = 16384 (Ans)
Pls I am really struggling here
How do you know the end behavior of a polynomial function if the first number is a variable? Do you just move on to the next term that is a number
Answer:
You need to bring the function to the standard form.
The term with highest degree exponent is the leading term and its coefficient is the leading coefficient.
Let it be axⁿ.
Depending on the n and a, the end behavior of the function will change.
Case 1a > 0, n - is oddThis is an odd function and:
x → -∞ ⇒ f(x) → -∞x → ∞ ⇒ f(x) → ∞Case 2a < 0, n - is oddThis is an odd function and:
x → -∞ ⇒ f(x) → ∞x → ∞ ⇒ f(x) → -∞Case 3a > 0, n - is evenThis is an even function and:
x → -∞ ⇒ f(x) ⇒ ∞x → ∞ ⇒ f(x) ⇒ ∞Case 4a < 0, n - is evenThis is an even function and:
x → - ∞ ⇒ f(x) ⇒ - ∞x → ∞ ⇒ f(x) ⇒ - ∞Answer:
Yeah your right
Step-by-step explanation:
(6x-5y+4)dy+(y-2x-1)dx=0
(6x - 5y + 4) dy + (y - 2x - 1) dx = 0
(6x - 5y + 4) dy = (2x - y + 1) dx
dy/dx = (2x - y + 1) / (6x - 5y + 4)
Let X = x - a and Y = y - b. We want to find constants a and b such that
dY/dX = (a rational function)
where the numerator and denominator on the right side are free of constant terms. Substituting x and y in the equation, we have
dY/dX = (2 (X + a) - (Y + b) + 1) / (6 (X + a) - 5 (Y + b) + 4)
dY/dX = (2X - Y + 2a - b + 1) / (6X - 5Y + 6a - 5b + 4)
Then we solve for a and b in the system,
2a - b + 1 = 0
6a - 5b + 4 = 0
==> a = -1/4 and b = 1/2
With these constants, the equation reduces to
dY/dX = (2X - Y) / (6X - 5Y)
Now substitute Y = VX and dY/dX = X dV/dX + V :
X dV/dX + V = (2X - VX) / (6X - 5VX)
The equation becomes separable after some simplification:
X dV/dX + V = (2 - V) / (6 - 5V)
X dV/dX = (2 - V) / (6 - 5V) - V
X dV/dX = (2 - V - (6 - 5V)) / (6 - 5V)
X dV/dX = (4V - 4) / (6 - 5V)
- (5V - 6) / (4V - 4) dV = 1/X dX
Integrate both sides:
-5/4 V + 1/4 ln|4V - 4| = ln|X| + C
Extract a constant from the logarithm on the left:
-5/4 V + 1/4 (ln(4) + ln|V - 1|) = ln|X| + C
-5/4 V + 1/4 ln|V - 1| = ln|X| + C
-5V + ln|V - 1| = 4 ln|X| + C
Get this back in terms of Y :
-5Y/X + ln|Y/X - 1| = 4 ln|X| + C
Now get the solution in terms of y and x :
-5 (y - 1/2)/(x + 1/4) + ln|(y - 1/2)/(x + 1/4) - 1| = 4 ln|x + 1/4| + C
With some manipulation of constants and logarithms, and a bit of algebra, we can rewrite this solution as
-5 (4y - 2)/(4x + 1) + ln|(4y - 4x - 3)/(4x + 1)| = 4 ln|x + 1/4| + 4 ln(4) + C
-5 (4y - 2)/(4x + 1) + ln|(4y - 4x - 3)/(4x + 1)| = 4 ln|4x + 1| + C
-5 (4y - 2)/(4x + 1) + ln|4y - 4x - 3| - ln|4x + 1| = 4 ln|4x + 1| + C
-5 (4y - 2)/(4x + 1) + ln|4y - 4x - 3| = 5 ln|4x + 1| + C
Find the midpoint of the line segment with end coordinates of: ( 2 , 0 ) and ( 8 , 8 )
Answer:
mid point is (1, 8)
Step-by-step explanation:
[tex]{ \bf{midpoint = ( \frac{x_{1} + x _{2} }{2} , \: \frac{y _{1} + y _{2} }{2} ) }}[/tex]
x1 is 2
x2 is 0
y1 is 8
y2 is 8
[tex] = ( \frac{2 + 0}{2} , \: \frac{8 + 8}{2} ) \\ \\ = ( \frac{2}{2} , \: \frac{16}{2} ) \\ \\ = (1, \: 8)[/tex]
A farmer performs a cross between two species of flowers and expects a distribution of 25% red, 50% pink, and 25% white flowers. Out of 224 flowers, the following numbers of red, pink, and white flowers were observed. Calculate the expected number of each type of flower.
Answer:
the number of pink would be 112 because 224 divided by 2 is 112 then the red and white are 56 cuz 112 divided by 2 is 56
Step-by-step explanation:
2. Consider the division operations below and choose whether the result can be rational,
irrational, or both.
Expressions
Rational
Irrational
O
O
Flá na por laskas
5
16
o
o
Answer:
All are rational.
Step-by-step explanation:
1)
=1/3/3/5
=1/3×5/3
=5/9
5/9 is non-terminating and recurring number so it is rational.
2)
4/3√9/5
=4/3*3/5
=4/5
4/5 is a terminating number it is rational.
3)
2*√16/√4
=2*4/2
=4
4 is a natural/whole number it is also rational.
Note:if you need to ask any questions please let me know.
a cake is sliced into 12 equal pieces 1/2 of the cake is: slices
Answer:
6
Step-by-step explanation:
1/2 of 12
1/2×12
6
i hope this will help
I need some help I’ve been trying to figure this out for a while now and I keep coming up with different answers. Match the pairs of equivalent expressions.
Answer:
dccxxydffffyyyrtttttttyhg
Jaxson did the following problem incorrectly. Choose the option that correctly identifies what Jaxson did
wrong.
Jaxson's work:
8 3/5 + 7 1/8 = 15 4/13
Answer:
4/13 very identifies what Jaxson did wrong.
Step-by-step explanation:
The addition of the whole number part of the fraction was well done that is (8+7)
What Jaxson did wrong in his work was the addition of the fractions (⅗+⅛). They have different denominators and thus can't be added straightforwardly. the denominator has to be a common value.
1 tenth + 2 tenths = blank tenths =
Answer:
3 tenths +4 tenths: 7 tenths
Step-by-step explanation:
2+1 :3
so
3+4:7
PLS HELP!! WILL AMRK BRAINLIEST IF RIGHT
9514 1404 393
Answer:
3 feet
Step-by-step explanation:
The equation with all the parameters filled in is ...
f(t) = -16t² +8t +2
The maximum height occurs at the vertex of the function, which can be written in vertex form as ...
f(t) = -16(t² -1/2t) +2
f(t) = -16(t² -1/2t +1/16) +2 +16(1/16)
f(t) = -16(x -1/4)² +3
The vertex of the graph is (1/4, 3), so the maximum height is 3 feet.
How many solutions are there to the equation below?
5x + 48 + 7 x = 12(x + 4)
A. 1
B. Infinitely many
C. 0
COM
Which expression is equivalent to the given expression? 2x^2-14 +24
Answer:
Equivalent expression is (x - 4)(x - 3)
Step-by-step explanation:
[tex] {2x}^{2} - 14x + 24[/tex]
find the factors:
[tex] = (x - 4)(x - 3)[/tex]
(2x-12)(x-2)
after multiplying you'll get the same
Peter mixes 4 1/2 cups of orange juice, 1 1/3 cups of ginger ale, 6 1/3 and oſ cups of strawberry lemonade to make some punch. What is the
total number of cups of punch that Peter makes?
The mean number of guests on 5 nights is 90. When an extra night of guests is added the mean is 91 . What was the number of guests on the extra night ?
Answer:
96
Step-by-step explanation:
The mean number of 5 nights is 90. It means that the quantity of guests who came these nights is 90*5=450
The mean number of the six nights is 91. So the quantity of guests is 6*91=546
546-450= 96- the quantity of guests that came on the extra night
