Answer:
15th term = 116
Step-by-step explanation:
a= 4
Sum of an A.P = n/2 {2a + (n-1)d}
sum of first five term is equal to one-fourth of the sum of the next five term
5/2{ 2*4 + (5-1)d} = 1/4 × 10/2{2*4 + (10-1)d
5/2 {8 + 4d} = 1/4 × 5{ 8 + 9d}
40/2 + 20/2d = 1/4{ 40 + 45d)
20 + 10d= 40/4 + 45/4d
20 + 10d = 10 + 45/4d
20 - 10 = 45/4d - 10d
10 =45d - 40d /4
10 = 5/4d
Divide both sides by 5/4
10 ÷5/4 = d
10×4/5 = d
40/5 = d
8 = d
d= 8
Find the 15th term
15th term = a + (n-1)d
= 4 + (15-1)8
= 4 + (14)8
= 4 + 112
= 116
The 15th term is 116
Find the sum. 5/6 + 4/9
Answer:
The answer is 23/18..
5/6+4/9=23/18.
Answer:
Exact Form:
23/18
Decimal Form:
1.27
Mixed Number Form:
1 5/18
Step-by-step explanation:
it would be amazing if you show work please
Answer:
Domain: [tex](-\infty,\infty)[/tex]
Range: [tex](1,\infty)[/tex]
Step-by-step explanation:
The domain of a function is the span of x-values it covers.
The range of a function is the span of y-values it covers.
From the graph, we can see that the domain stretches infinitely in both directions. Therefore, the domain is all real numbers.
In interval notation, this is:
[tex](-\infty,\infty)[/tex]
For the range, note that horizontal line at y=1.
The dotted line tells us that there is a horizontal asymptote there. In other words, y would never reach exactly 1.
Thus, our range would be all values greater than 1 (to positive infinity).
In interval notation, this is:
[tex](1,\infty)[/tex]
And we're done :)
Solve the inequality d – 6 < –0.5 and graph the solutions.
Answer:
Hope it will help you :)
Step-by-step explanation:
d-6<-0.5
Adding 6in both sides to find out the value of d
d-6+6<-0.5+6
d<5.5
Solution set={d/d<5.5}
Please answer ASAP! Describe how you would graph a figure that is translated by (x - 4, y + 2). I will pick you as brainliest!
Answer:
the answer is 3820
Step-by-step explanation:
first you do 28 +38 which is 393 and then you do 383_jals which is 69, please mark me as brainiest
6x - 5 = 2 Times 3x + 4
What’s the answer
And does it have an infinite solutions.
WILL MARK BRAINLIEST
Answer:
no solution
Step-by-step explanation:
u cant multiply when there is an equal
Answer:
6x−5=(2)(3)x+4
Step 1: Simplify both sides of the equation.
6x−5=(2)(3)x+4
6x+−5=6x+4
6x−5=6x+4
Step 2: Subtract 6x from both sides.
6x−5−6x=6x+4−6x
−5=4
Step 3: Add 5 to both sides.
−5+5=4+5
x=9
what is 9 3/4 as a percentage
First, turn the fraction into a decimal.
9.75
Second, multiply by 100%.
9.75 * 100% = 975%
Best of Luck!
Clare had $110 in her saving. She wanted to buy an MP3 player for $ 118 what is the difference between how much money Clare had and how much she needed
Answer:
$8
Step-by-step explanation:
We want to find the difference between the money Clare has and the money she needs.
Difference means subtract, so we should subtract the amount of money she has from the amount she needs.
money needed - money she has
She has $110 and she needs $118 to purchase the MP3 player.
$118 - $110
Subtract 110 from 118.
$8
The difference between the money Clare has and the money she needs is 8 dollars.
Is it true that ƒ −(g − h) = (ƒ − g) − h? Explain why you believe the equation is true or provide a counterexample to show that it is not.
Answer:
The expression is false
Step-by-step explanation:
Given
[tex]f - (g - h) = (f - g) - h[/tex]
Required
True or False
To determine if the expression is true or false, we need to simplify both sides of the equation
[tex]f - (g - h) = (f - g) - h[/tex]
Start by opening the bracket on the right hand side
[tex]f - (g - h) = f - g - h[/tex]
Then open the bracket on the left
[tex]f - g + h = f - g - h[/tex]
Subtract f - g from both sides
[tex]f - g - (f - g) + h = f - g - (f - g) + h[/tex]
[tex]f - g - f + g + h = f - g - f + g - h[/tex]
[tex]f - f - g + g + h = f - f - g + g - h[/tex]
[tex]h \neq -h[/tex]
Hence;
The statement is false
To further check;
Assume f = 5; g = 4 and h = 3
[tex]f - (g - h) = (f - g) - h[/tex] becomes
[tex]5 - (4 - 3) = (5 - 4) - 3[/tex]
[tex]5 - 4 + 3 = 5 - 4 - 3[/tex]
[tex]2 \neq -2[/tex]
Find the distance between the points (2,-9) and (-1,4)
Answer:
The answer is
[tex]\sqrt{178} \: \: or \: \: 13.34 \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(2,-9) and (-1,4)
The distance between them is
[tex]d = \sqrt{ ({2 + 1})^{2} + ({ - 9 - 4})^{2} } \\ = \sqrt{ {3}^{2} + ({ - 13})^{2} } \\ = \sqrt{9 + 169} \\ [/tex]We have the final answer as
[tex] \sqrt{178} \: \: or \: \: 13.34 \: \: units[/tex]Hope this helps you
Answer:
[tex]\sqrt{178}[/tex] ≈ 13.3
Step-by-step explanation:
Calculate the distance using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (2, - 9) and (x₂, y₂ ) = (- 1, 4)
d = [tex]\sqrt{(-1-2)^2+(4+9)^2}[/tex]
= [tex]\sqrt{(-3)^2+13^2}[/tex]
= [tex]\sqrt{9+169}[/tex]
= [tex]\sqrt{178}[/tex] ≈ 13.3 ( to 1 dec. place )
What is the value of 3.5 (11) + 1.9 (11) + 1.6 (11)?
Answer:
77
Step-by-step explanation:
3.5(11)+1.9(11)+1.6(11)
3.5(11)=38.5
1.9(11)=20.9
1.6(11)=17.6
38.5+20.9+17.6
77
What is greater 16/28 or 28/49
Answer:
They are equal.
Step-by-step explanation:
Step 1: Evaluate 16/28
16/28 = 0.571429...
Step 2: Evaluate 28/49
28/49 = 0.571429...
Step 3: Compare
0.571429... ? 0.571429...
0.571429... = 0.571429...
So 16/28 = 28/49
Name two lines in the diagram.
Answer: Line BC and Line DE
Step-by-step explanation:
In geometry terms, we can say that for any set of two points, we always can find a line that passes through them.
For example, in the image, we can see two lines (but actually we could make more with those points)
We can see a line that connects points B and C, and we can call that line as:
Line BC
We also can see a line that connects the points D and E, we can call this line as:
Line DE
So the two lines are: Line BC and Line DE
The inclination (tilt) of an amusement park ride is accelerating at a rate of 2160\,\dfrac{\text{degrees}}{\text{min}^2}2160 min 2 degrees 2160, start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, m, i, n, end text, squared, end fraction. What is the ride's acceleration rate in \dfrac{\text{degrees}}{\text{s}^2} s 2 degrees start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, s, end text, squared, end fraction?
Answer:
0.6 deg/s²
Step-by-step explanation:
Acceleration is the time rate of change of velocity, it is the ratio of velocity to time. The formula for acceleration is given by:
Acceleration = Change in velocity / time taken = (Final velocity - Initial velocity) / time
Given that the acceleration is 2160 deg/min², we have to convert it to deg/s²
1 min = 60 seconds
1 min² = 60² s² = 3600 s²
[tex]2160\ deg/min^2=\frac{2160\ deg}{1\ min^2*3600\ \frac{s^2}{min^2} }=0.6\ deg/s^2\\ \\2160\ deg/min^2=0.6\ deg/s^2[/tex]
Answer:
0.6
Step-by-step explanation:
Given g(x)=3x2+3 find x if g(x)=78 Help me please
Answer:
The answer is 5
Step-by-step explanation:
Given g(x)=3x2+3 find x if g(x)=78 = 5
Hope this helped you :)
Answer:
x = ± 5
Step-by-step explanation:
Given
g(x) = 3x² + 3 and g(x) = 78 , then equate the right sides, that is
3x² + 3 = 78 ( subtract 3 from both sides )
3x² = 75 ( divide both sides by 3 )
x² = 25 ( take the square root of both sides )
x = ± [tex]\sqrt{25}[/tex] = ± 5
That is x = - 5 or x = 5
En un pastel que se quiere repartir a 5 personas, se logran generar 8 piezas al cortarlo, cual de las siguientes expresiones refleja esta acción: ⅕ ⅝ ¾
Answer:
La respuesta es 1/5.
Step-by-step explanation:
porque el 1 pastel se divide en 5 personas.
Espero que esto ayude.
Given that f(x) = x2 + x and g(x) = 3x + 1, find the value of g(f(-2)).
Answer:
7Step-by-step explanation:
[tex]f(x) = x^2 + x\\g(x) = 3x + 1\\\\g(f(-2)) = ?\\f(-2) =?\\[/tex]
To find f(-2) , Substitute -2 for x in the given equation ;
[tex]f(-2)= (-2)^2 +(-2)\\f(-2) = 4-2\\f(-2) = 2[/tex]
To find g(f(-2)) ;
[tex]g(f(-2))\\f(-2) =2\\\\= g(f(-2)) = g(2)\\[/tex]
To find g(2) , substitute 2 for x in the given equation
[tex]g(x) = 3x+1\\g(2) = 3(2)+1\\\\g(f(-2)) = 6+1\\\\g(f(-2))=7[/tex]
Value of g(f(-2)) is equals to 7.
What is composition function?"Composition function is defined as where two function combined together to create a new function. It is denoted by 'o'."
According to the question,
Given,
f(x) = x² + x
g(x) = 3x + 1
Substitute the value x=-2 in function f(x) we get,
f(-2) = (-2)² +(-2)
= 4 -2
= 2 ______(1)
Again substitute the value of x = f(-2) in g(x) to get composition function,
g(f(-2)) = 3f(-2) +1
Substitute the value f(-2) from (1) we have,
g(f(-2)) = 3(2) + 1
⇒ g(f(-2)) = 7
Hence, value of g(f(-2)) is equals to 7.
Learn more about composition function here
https://brainly.com/question/20379727
#SPJ2
Simplify the following polynomial expression (5x2y-3xy-8)+(7xy+4)
Answer:
5x²y + 4xy - 4
Step-by-step explanation:
Step 1: Write out expression
5x²y - 3xy - 8 + 7xy + 4
Step 2: Combine like terms (xy)
5x²y + 4xy - 8 + 4
Step 3: Combine like terms (constants)
5x²y + 4xy - 4
(5/2)x=5 please help me
Answer:
x=2.5
Step-by-step explanation:
2.5x=5
subtract 2.5 from itself and 5
x=2.5
can you please help me
Answer:
(5, 6)
Step-by-step explanation:
(5, 6)
x, then y.
one grid space is one up or down.
Good luck mate :)
i’ve been trying to figure out this answer. it’s algebra. at first i got 76 but i’m pretty sure it’s wrong.
Answer:
36
Step-by-step explanation:
● 3[ (4-2)^5 -20]
● 3 ( 2^5 -20 )
● 3 (32-20)
● 3× 12
● 36
If y = 8x − 2, which of the following sets represents possible inputs and outputs of the function represented as ordered pairs?
{(0, −2), (1, 6), (2, 14)}
{(0, −2), (2, 13), (−5, −40)}
{(1, 7), (2, 7), (3, 7)}
{(1, 6), (2, 13), (3, 24)}
Answer:
the first set
Step-by-step explanation:
y = 8x − 2
to see which of the following represent the right input and out put substitute the amount of x in the equation and see it you get the same output .
x y=8x-2 y
0 8(0)-2 -2
1 8(1)-2 6
2 8(2)-2 14
Solve V- E = 2 for E; E =
A.) V - 2
B.) V + 2
C.) - V - 2
D.) - V + 2
Help me please I’ll give brainliest PLEASE HELP ASSP
Answer:
fundamental orders of connecticut
Step-by-step explanation:
A digital camera is marked 33% off the
original price. If the discount is $52.80,
what was the original price?
A) $107.20
B) $160.00
C)$170.00
D) $175.00
Answer:
A. $107.20
Step-by-step explanation:
dont know sorry
what is reflection ?
Answer:
the conceptual operation of inverting a system or event with respect to a plane, each element being transferred perpendicularly through the plane to a point the same distance the other side of it.
Step-by-step explanation:
Answer:
Goosebumps remix in Spotify
25
Is 25 irrational or rational and why
Answer:
The number 25 is a rational number.
It is a whole number which can be written as the fraction 25/1.
I'm sorry if I misunderstood.
Good luck mate! :)
Please add Brainliest if you'd like, not that it matters.
Remember to try your best every day!
3 divided by 10 in decimal form plz thnks
Answer:
Step-by-step explanation:
3/10 = 0.3 in decimal form
Answer: I agree with the person above it's 0.3 I did the math twice and got the same answer
Step-by-step explanation:
Select the correct answer. Which term is a term in this expression? -3x - 7(x+4) OA x + 4 O B. -7 Ос. -3x OD. -3
Answer:
D. -3x
Step-by-step explanation:
Terms have the form k or kx^n, where k is a number, x is a variable, and n is a whole number.
-3x follows the above rule, so -3x is a term.
Answer:
D
Step-by-step explanation:
Hi...
Smplify the expression. -5(6+9K) *
HELPP
Answer:
-30 -45K
Step-by-step explanation:
-5(6+9K)
Distribute
-5 * 6 + -5 * 9k
-30 -45K
Divide: (5 + 4i) / (-3 – 2i)
Answer:
-23/13 - 2/13iStep-by-step explanation:
[tex]\frac{5+4i}{-3-2i}\\\\\mathrm{Apply\:complex\:arithmetic\:rule}:\\\\\quad \frac{a+bi}{c+di}\:=\:\frac{\left(c-di\right)\left(a+bi\right)}{\left(c-di\right)\left(c+di\right)}\:=\:\frac{\left(ac+bd\right)+\left(bc-ad\right)i}{c^2+d^2}\\\\a=5,\:b=4,\:c=-3,\:d=-2\\\\=\frac{\left(5\left(-3\right)+4\left(-2\right)\right)+\left(4\left(-3\right)-5\left(-2\right)\right)i}{\left(-3\right)^2+\left(-2\right)^2}\\\\Refine\\=\frac{-23-2i}{13}\\\\[/tex]
[tex]\mathrm{Rewrite\:}\frac{-23-2i}{13}\mathrm{\:in\:standard\:complex\:form:\:}-\frac{23}{13}-\frac{2}{13}i\\[/tex]