Use the formula below to find the 25th term in the geometric sequence.
an= (-3)2^n-1
A. -100,663,296
B. -50,331,648
C. -25,165,824
D. 50,331,648
Answers
Answer:
B.
Step-by-step explanation:
To solve, substitute 25 in for x:
[tex]a_{x} = (-3)2^x^-^1[/tex]
[tex]a_{x} = (-3)2^2^5^-^1[/tex]
[tex]a_{x} = (-3)2^2^4[/tex]
[tex]a_{x} = (-3)(16777216)[/tex]
[tex]a_{x} = -50331648[/tex]
Related Questions
What’s an equivalent fractions for 6/8 with a 20 as the new denominator
Answers
Answer:
15/20
Step-by-step explanation:
Divide your denominator by your previous/compared denominator (20/8) to find the number as your numerator. Take the found numerator (2.5) and multiply it times the compared numerator (2.5 x 6) giving your 15/20.
Hopes this helps!
Determine whether the ordered pair (6,5) is a solution to the equation -2x +y = -7.
O Yes, (6,5) is a solution.
O No.(6,5) is not a solution.
Answers
Answer:
yes (6,5) is a solution
Step-by-step explanation:
Identify the domain
of the following function.
PLS HELP
Answers
5. Ken was at bat 120 times during the baseball season. If he hit the ball
15% of the time, how many times did he have a hit?
Answers
Which angle is congruent to 7? Select all that apply
Answers
Answer:
angles 5, 1, and 3
Two cars leave San Francisco at the same time traveling in opposite directions. One travels at an
average speed of 74 mph and the other at 78 mph. In how many hours will they be 304 miles apart?
Let x = time of travel for the first car and y = time of travel for the second car.
Then the system that
models the problem is {74x + 78y=304}
Solve the system by using the method of addition.
Answers
Answer:
i don't really know but can you explain more so I can understand how to do it
If 7 4/5 is added to 2 3/4 , what is the sum?
Answers
Answer: 9 7/20
Step-by-step explanation:
7 4/5 + 2 3/4
Multiply the Denominators = 20
Add Numerators = 7
Add Whole Numbers = 9
Answer 9 7/20
Thomas, a waiter at a local restaurant, is paid $ 4 an hour plus tips. His friend Marie works at a local bookstore for $12 an hour. Marie and Thomas worked the same number of hours. If Thomas made $120 in tips and both made the same amount of money, how many hours
1.please just give me the first step on how it’s written out
Answers
Answer:
15 hours
Step-by-step explanation:
Let h = numbers of hour worked, x = tips, t = Thomas' pay, and m = Marie's pay
We can set up an equation for this question:
t = 4h + x
Now plug in 120 for x
t = 4h + 120
Now we set up Marie's pay:
m = 12h
Since Thomas and Marie made the same amount of money over the same number of hours, we can say:
4h + 120 = 12h
120 = 8h
h = 15
This means they both worked for 15 hours.
Write the equation of the line perpendicular to 2x+3y=7 that passes through the point (-4, 6). Write your answer in slope-intercept form.
Answers
Answer:
Ig This Would Be The Answer
Step-by-step explanation:
Reorder 73 7 3 and 2x3 2 x 3 . Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 23 .
3y = 7 - 2x
y = (-2/3) + (7/3)
For the new line to be perpendicular, it needs to be the negative inverse (flip it, and change the sign). So the slope of our new line would be 3/2
Next, plug in our point into
y = (3/2)x + b
6 = (-6) + b
12 = b
So, the answer would be
y = (3/2)x + 12
Simplify, the solve.
Answers
Answer:
1/64
Step-by-step explanation:
4x4^3/4^7
4^-3
1/4^3
1/64
A politician has $4,200 to buy TV advertisements. If each advertisement costs $700, how many advertisements can the politician buy?
Answers
they can buy 6 tv advertisements.
This table shows the relationship between time and push-ups.
Which of the following values could represent the value of r2 for this relationship?
r2 = ‒0.9646
r2 = ‒0.0354
r2 = 0.0354
r2 = 0.9646
Answers
Answer:
D
Step-by-step explanation: i <3 satistics so much
what multiplies to get 27 but adds to get -1
Answers
Answer:
9×3
and
-26
Step-by-step explanation:
9×3=27
27+-26
What is 3763.2 ÷0.512 with the work that goes with it.
Answers
Answer:
7350
Explanation:
3763.2/0.512 can be determined by simply dividing.
HEEEEEEEEEEEEEEEELP MEEEEEEEEEEEEEEEEEEEEEE
Answers
answer: the inequality is 3+7(x)<24
x=x < 3 2/7
Step-by-step explanation:
because...
3 + 7x < 26
7x < 23
x < 23/7
x < 3 2/7
Answer:
More/Product is a key word to multiply so 3X7 and less is a key word to subtract so your subtracting X from 24
3x7=21 and that's 3 less than 24
The answer is 3
Step-by-step explanation:
If u(x) = x^5-x^4x+x^2 and v(x)=-x^2, which expression is equivalent to (u/v)(x)?
Answers
Step-by-step explanation:
(x^5/-x^2)-(x^4x/-x^2)+(x^2/-x^2)
-x^3+x^2-1
Cecilia owns just as many cats as she does birds. If her pets have a total of 18 legs, how many cats does she own?
Answers
Answer:
1
Step-by-step explanation:
You can get this answer by adding 4+4+4+4, equaling out to 16...but how is there 18? well you just add 2 for the bird's legs and that's your answer!!
Hope this helps you love!!!
Answer:
3
Step-by-step explanation:
3 cats with 4 legs = 12
3 birds with 2 legs =6
12 + 6=18
I need help!! please, you don’t even have to do it all just explain to me how to do the first one I’ll catch on
Answers
Hi there!
What we need to know:
The three main trigonometric ratios are sine, cosine and tangent:
[tex]\displaystyle sin\theta=\frac{opposite}{hypotenuse}[/tex] [tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex] [tex]\displaystyle tan\theta=\frac{opposite}{adjacent}[/tex]
"Opposite" refers to the side opposite the angle that is not the hypotenuse.
"Hypotenuse" refers to the side opposite the right angle of a right triangle.
"Adjacent" refers to the side next to the angle that is not the hypotenuse.
"θ" is read as "theta". It just represents the angle.
Keep in mind that these three ratios only apply to right triangles.
You can use the mnemonic "soh-cah-toa" to help you remember these ratios.
First question
For the first question, we're given the angle with a measure of 56 degrees and the length of the hypotenuse. We must calculate a, which represents the side adjacent to the given angle.
Given the hypotenuse and the adjacent side, we know that we must use the cosine ratio:
[tex]\displaystyle cos\theta=\frac{adjacent}{hypotenuse}[/tex]
Plug in the given information:
[tex]\displaystyle cos56=\frac{a}{13}[/tex]
Isolate a by multiplying both sides by 13:
[tex]13\displaystyle cos56=a[/tex]
Solve using a calculator:
[tex]a=7.3[/tex]
Therefore, a is equal to 7.3 when rounded to 1 decimal place.
Other information you will need to know:
In the above question, we needed to solve for a side. But what if we were given two sides and we needed to solve for an angle? For example:
[tex]\displaystyle sin\theta=\frac{5}{8}[/tex]
In this case, we will use the inverse sine ratio:
[tex]\displaystyle \theta=sin^-^1(\frac{5}{8})[/tex]
Solve using a calculator:
[tex]\displaystyle \theta=39[/tex]
Therefore, the angle would equal approximately 39 degrees.
I hope this helps!
Write the equation of the line in fully simplified slope-intercept form.
Answers
Answer:
ydkyksykdysjgjzgjz
Step-by-step explanation:
hlxkzgkzgksykkxmhxykdkydxkhoueydozgkhmzmhxkhdyoeoyxydkydkmxhylekdhkkysykyskkkysyek sheets obvi redfin
1
_ x + 9 for x=3 .............................................
2
Answers
Answer:
10.5
Step-by-step explanation:
[tex] \frac{1}{2} \times 3 + 9 \\ 1.5 + 9 \\ 10.5[/tex]
[tex]\\ \tt\Rrightarrow 1/2x+9[/tex]
x=3[tex]\\ \tt\Rrightarrow x/2+9[/tex]
[tex]\\ \tt\Rrightarrow 3/2+9[/tex]
[tex]\\ \tt\Rrightarrow 3+18/2[/tex]
[tex]\\ \tt\Rrightarrow 21/2[/tex]
[tex]\\ \tt\Rrightarrow 10.5[/tex]
8. Elijah has $2800.00. He gets a check for $300.00. He takes his mom out for dinner that costs $150.00. He finds$200.00 on Utopian Street, he then pays his friend Christian back $175, finally he pays his car insurance for $115.How much money does he have left?__________
Answers
Answer:
$2060
Step-by-step explanation:
2800+300-150-175-115= $2060
Answer:
2860
Step-by-step explanation:
2800+300-150+200-175-115=2860
pls help me this is due tonight by 8 40
Answers
Answer:
a. gh³
b. xy³
Step-by-step explanation:
a. [tex]g^{3-2}[/tex][tex]h^{5-2}[/tex] = gh³
b. [tex]x^{3-2} y^{4-1} p^{1-1}[/tex] = xy³
Use the negative exponent rule.
Which exponential equation is equivalent to this logarithmic equation?
log x 5+ log x 12 = 7
Answers
Answer:
[tex]{ \rm{ log_{x}(5) + log_{x}(12) = 7}} \\ \\ { \rm{ log_{x}(5 + 12) = 7}} \\ \\ { \rm{ log_{x}(17) = 7}} \\ \\ { \rm{17 = {x}^{7} }} \\ \\ { \boxed{ \rm{ {x}^{7} = 17 }}}[/tex]
• further more:
[tex]{ \rm{x = \sqrt[7]{17} }} \\ \\ { \boxed{ \rm{x = 1.5}}}[/tex]
The equivalent exponential equation is given by [tex]x^7 - 60 = 0[/tex].
What is an equation?Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.
As per the given data:
We are given a logarithmic equation, and we have to find out the equivalent equation with exponents.
The logarithmic equation given in the question is:
[tex]log_x5 + log_x12 = 7[/tex] ...(i)
By using the following property of logarithm, we can simplify this equation.
[tex]log_x(ab) = log_xa + log_xb[/tex]
By using this property in eq (i)
[tex]log_x[5 \times 12] = 7[/tex]
[tex]log_x[60] = 7[/tex]
By using logarithmic transformation.
[tex]x^7 = 60[/tex]
∴ [tex]x^7 - 60 = 0[/tex]
The equivalent exponential equation is given by [tex]x^7 - 60 = 0[/tex].
Hence, The equivalent exponential equation is given by [tex]x^7 - 60 = 0[/tex].
To learn more about equation, click:
brainly.com/question/10413253
#SPJ7
Use the vertical line test to determine whether the relation graphed below is a function.
A. Yes
B. No
C. It cannot be determined.
Answers
Answer:
No
Step-by-step explanation:
Draw a vertical line. If a vertical line passes through two or more points on the graph, it is not a function. Since it passes through 2 points, it is not a function
need an answer, please need an answer, please
Answers
Answer:
Step-by-step explanation:
1) 6 and -5
x₁ + x₂ = 6 +(-5) = 1
x₁* x₂ = 6*(-5) = -30
x² -(x₁ + x₂)x + (x₁* x₂)=0
x² - x - 30 = 0
2) 4 and 7
x₁ + x₂ =4 + 7 = 11
x₁* x₂ = 4*7 = 28
x² - 11x + 28 = 0
3) 1 and -10
x₁ + x₂ = 1 +(-10) = -9
x₁* x₂ = 1*(-10) = -10
x² - 9x - 10 = 0
4) -9 and 0
x₁ + x₂ = -9 + 0 = -9
x₁* x₂ = 0
x² - (-9)x = 0
x² + 9x = 0
5)2 and 6
x₁ + x₂ = 2 + 6 = 8
x₁* x₂ = 2*6 = 12
x² -8x + 12 = 0
8) 2 +√3 and 2 - √3
x₁ + x₂ = 2+ √3 + 2 - √3 = 4
x₁* x₂ = (2 + √3)(2 - √3) = 2² - (√3)² 4 - 3 = 1
x² - 4x + 1 = 0
What is the image point of (9, -1) after the transformation T-4,-3 0 R270°?
Answers
Answer:
Given A point (9,-1) is first translated by rule T-4,3 : ( x,y ) goes ( x - 4 , y+ 3) followed by rotation of 270°
rule of rotation of 270° : ( x , y ) goes ( y,-x )
image of ( 9 , -1) after translation :
( 9 - 1) goes (-9,-1+3)=(-9,2)
then , image after rotation of 270° :
( -9,2 ) goes (2,9 p
hence , the image point of ( 9,-1 ) (9,-1)
after the transformation T-4,3 and rotation of 270°i is ( 2,9 ).
Step-by-step explanation:
hope it helps
Please take a look at the picture.
Answers
he used 14 cubic feet so you subtract 8 and get 6. You get the 8 from adding the slabs shown
A. 23.7
B. 8.7
C. 13.8
D. 9.5
Answers
Answer:
a
Step-by-step explanation:
just cuzyfhyf
Write the slope-intercept equation of the line passing through (3.5) and (10.-7). Do not give decimals in your answer.
Answer:
Answers
Answer:
y = -12/7x + 71/7
Step-by-step explanation:
y2 - y1 / x2 - x1
-7 - 5 / 10 - 3
-12/7
y = -12/7x + b
5 = -12/7(3) + b
5 = -36/7 + b
71/7 = b
ABC, Construct a triangle ABC, <B =90° AB= 4cm AC=5cm. Find the third side.
Helpppp
Answers
Pythagoras Theorem
BC = 3 cm
Step by step explanation :
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