Answer:
-89
Step-by-step explanation:
using the following inequality 9 > 2. multiply each side by ( - 3 ) write a true inequality statement. 12 > -1, -27 > - 6,
For the geometric sequence, find the sum of the specified number of terms.
The first 8 terms of 4, -12, 36, ...
S8=
Given:
The geometric sequence is
[tex]4, -12, 36,...[/tex]
To find:
The sum of first 8 terms of the given geometric sequence.
Solution:
We have,
[tex]4, -12, 36,...[/tex]
Here, the first term is 4 and the common ratio is
[tex]r=\dfrac{-12}{4}[/tex]
[tex]r=-3[/tex]
The sum of first n terms of a geometric sequence is
[tex]S_n=\dfrac{a(r^n-1)}{r-1}[/tex]
Where, a is the first term and r is the common ratio.
Putting n=8, a=4 and r=-3, we get
[tex]S_8=\dfrac{4((-3)^8-1)}{-3-1}[/tex]
[tex]S_8=\dfrac{4(6561-1)}{-4}[/tex]
[tex]S_8=-6560[/tex]
Therefore, the sum of first 8 terms is -6560.
Help me with my math **50 pts*** I mark brainliest**
Answer:
Sure. Now what do you need help on? Please post the question.
Step-by-step explanation:
Use the table to answer the question below.
.
0
2
1
8
2.
32
3
128
4
512
Which of these best represents the function shown in the table?
f(x) = 2(4*)
0
f(x) = x + 2
f(x) = 6x + 2
f(x) = x5
Answer:
c: f(x) = 2(4^x)
Step-by-step explanation:
the table shows that the function is exponential rather than linear.
The best that represents the function shown in the table;
c: f(x) = 2(4^x)
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable. In mathematics and the physical sciences, functions are indispensable for formulating physical.
Thus, the table shows that the function is exponential rather than linear.
We are given the table through which we have to make a function.
The function becomes as;
[tex]f(x) = 2(4^x)[/tex]
This function shows exponential rather than linear.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ7
Write the equation
Show how to solve
If the quadratic parent function is reflected in the y-axis and vertically compressed by a factor of 1⁄2, write an equation to represent the new function.
Answer:
h(x) = 1/2f(-x)Step-by-step explanation:
Let the parent function be:
f(x)Reflection over y-axis:
g(x) → f(-x)Vertical compression by a factor of 1/2:
h(x) → 1/2g(x)Final function in terms of parent function:
h(x) = 1/2f(-x)What is the common difference for this arithmetic sequence?
31, 48, 65, 82, ...
Answer:
d = 17
Step-by-step explanation:
The given arithmetic sequence is :
31, 48, 65, 82, ...
We need to find the common difference for this sequence.
First term, a₁ = 31
Second term, a₂ = 48
Common difference = a₂-a₁
= 48-31
= 17
So, the common difference for this arithmetic sequence is equal to 17.
Kayla takes 7 hours to mow 2 lawns. At this rate, how long will it take her to mow 13 lawns?
Answer: at least 6 more hours
Step-by-step explanation:
Answer:
45 hours and a half
Step-by-step explanation:
Divide 7 by 2. Multiply 7 by 13
A box contains 2 red marbles 3 green marbles and 3 blue marbles if we choose a marble then another marble without putting the first one back in the box what is the probability that the first marvel will be green and the second will be blue
Answer: 9/56
Step-by-step explanation:
URGENT NEED ANSWERS •_•
Question 10
Five numbers are described below.
Drag the values described into the correct order from LEAST to GREATEST. Use the number line as needed to help you order the values.
Answer:
the opposite of the opposite of -9, the opposite of 6, the opposite of 4, the opposite of 0, the opposite of the opposite of 7
Explanation:
the opposite of 4 = -4
the opposite of the opposite of -9 = -9
the opposite of 6 = -6
the opposite of the opposite of 7 = 7
the opposite of 0 = 0
Then you just put them in order.
Hope this helps!
Between 10 P.M. and 7:45 A.M., the water level in a swimming pool decreased by 3/8 inches . Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
Answer:
0.03846154... inches/hour
Step-by-step explanation:
between 10 P.M. and 7:45 A.M. = 9.75 hours
(3/8) inches / 9.75 hours = 0.03846154... inches per hour
EDIT: in fraction form
Answer:
1/26 inches/hour
Step-by-step explanation:
between 10 P.M. and 7:45 A.M. = 9 and 3/4 hours, or 39/4 hours
(3/8) inches / (39/4) hours = 1/26 inches per hour
Factor this polynomial completely 6x^4-30x³-84x²
Step-by-step explanation:
Given
6x^4 - 30x³ - 84x²
= 6x² ( x² - 5x - 14 )
= 6x² ( x² - ( 7 - 2 ) x - 14 )
= 6x² ( x² - 7x + 2x - 14 )
= 6x² {x(x - 7) + 2 ( x - 7)}
= 6x² ( x - 7) (x +2 )
Hope it will help :)
Answer: 6x² ( x - 7) (x +2 )
Step-by-step explanation:
EXTRA CREDIT: Complete the truth table. Choices are on the next page. (3 points)
Hurry please
Answer:
Step-by-step explanation:
Estimate the difference
5/9 - 3/8
Answer:
Este es el resultado de la preguntas 0.181555556
Answer:
13/72 i hope thats what your looking for
Step-by-step explanation:
What is 5/9 - 3/8?
What is 5/9 - 3/8?
Here's how to subtract 3/8 from 5/9:
5
9
−
3
8
Step 1
We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.
So we multiply 5 by 8, and get 40.
Then we multiply 3 by 9, and get 27.
Next we give both terms new denominators -- 9 × 8 = 72.
So now our fractions look like this:
40
72
−
27
72
Step 2
Since our denominators match, we can subtract the numerators.
40 − 27 = 13
So the answer is:
13
72
Step 3
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
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To find out, we try dividing it by 2...
Nope! So now we try the next greatest prime number, 3...
Nope! So now we try the next greatest prime number, 5...
Nope! So now we try the next greatest prime number, 7...
Nope! So now we try the next greatest prime number, 11...
Nope! So now we try the next greatest prime number, 13...
Nope! So now we try the next greatest prime number, 17...
No good. 17 is larger than 13. So we're done reducing.
There you have it! The final answer is:
13/72
Would y^10/y^10 become 1?
Answer:
yes
Step-by-step explanation:
If you are dividing it will become 1 because 10 minus 10 equals 0. Anything to the power of 0 is 1 then you keep the base which is y so the answer is y
If you are multipling the answer will be y^10 because 10 plus 10 is 20 and you keep the base which is y
What single percentage change is equivalent to a 11% increase followed by a 15% increase?
Answer:
It's a total increase by 27,65%
Step-by-step explanation:
1,11 × 1,15 = 1,2765
1,2765 = +27,65%
Which expressions are equivalent to 7(-3/4x-3)? Select two options.
Answer:
7(-3/4x-3) is the same as
7(-3/4x)-7(3) and
-5 1/4x-21
Step-by-step explanation:
Answer:
A and D
Step-by-step explanation:
got 100 on the quiz
Geometry Help!
Please only answer if you know the answer. Look at the image below to answer the question.
Be sure to show all of your work and explain your thinking.
I posted 3 of these, so if you understand it, please go and check them out.
If you do not know the answer use the comment section, don't answer my question with a comment. Thanks, Good Luck!
Answer:
x = 88.76°Step-by-step explanation:
Use the law of cosines:
cos C = (a² + b² - c²)/(2ab)Apply to the given triangle and solve for x:
cos x = (52² + 48² - 70²)/(2*52*48)cos x = 108/4992cos x = 0.02163461538x = arccos 0.02163461538x = 88.76°What is the inequality shown?
This type of graph is called a segment.
To write the solution set which represents the graph
of a segment, read the segment from left to right.
If you take a look at the segment shown here, we would start with the endpoint on the left which is a -4, our variable x would be in the middle, and we would finish things off with the endpoint on the right, which is 5.
Since we have an open dot at -4, we use a less than sign between the -4 and the x and since we have a closed dot at 5, we use a less tan or equal to sign between the x and the 5.
It's important to understand that when representing a segment by reading it from left to right, you will only use "less than" or "less than or equal to" between the parts, never "greater than" or "greater than or equal to."
So the solution for this graph is read {x: -4 < x ≤ 5}.
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Answer:
Step-by-step explanation:answer is c
what Is the answer to 1/6 + 2/3
Answer:
5/6
Step-by-step explanation:
When adding fractions, you must ensure the denominator is the same in both fractions.
In this case, the 3 can be multiplied by 2 to equal 6, the other denominator.
When multiplying fractions to create a common denominator, you must multiply the both the numerator and the denominator by the same value, to ensure that the fraction is still equivalent.
2/3 × 2/2 = (2×2)/(3×2) = 4/6
Replace 2/3 with its equivalent 4/6.
Now you will add the numerators together.
1/6 + 4/6 = (1+4)/6 = 5/6
Your final answer is 5/6
Answer:
5/6
Step-by-step explanation:
2/3--> 4/6 (GCF)
4/6+1/6=5/6
:)
2x+2 (1-4X) = 88-5 (x+4)7x + 2
Answer:
x=4/7
Step-by-step explanation:
Can someone help me with these two problems please?
Answer:
b
j
................................
-26 =3v +1 can i please get a answer
Step-by-step explanation:
-26=3v+1
-1 on both sides
-27=3v
divide by 3 both sides
-9=v
Triangle XYZ with vertices X (1,-2) Y (3,-5) and Z (4,1) translated 5 units left and 3 units up
Answer:
x= (4,-7)
y= (6,-10)
z= (7,-4)
Step-by-step explanation:
You place two wooden support beams under a shelf, as shown. Find the value of x.
(2x + 10)
(x + 5)
Answer:
X=55
Step-by-step explanation:
(2x+10)+(x+5)=180
Combine like terms.
3x+15=180
Subtract 15.
3x=165
Divide by 3.
x=55
Answer:
see attached
Step-by-step explanation:
angles on a straight line
-4 > -2n
What could n be??
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
n>2
Interval Notation:
(2,∞)
I NEED ASAP
Clarence made a diagram to compare codominance and incomplete dominance. Which label belongs in the area marked Y? Neither allele is dominant. An intermediate phenotype is expressed in offspring. One allele is dominant over the other. Both dominant alleles are fully expressed in offspring.
Answer:
The correct answer is both dominant alleles are fully expressed in offspring.
In the incomplete dominance inheritance, one allele is not completely expressed over its paired allele and forms an intermediate trait, whereas in co-dominance, both the alleles express completely resulting into a new phenotype. For example AB blood group in humans.
In the given question Y is the intersection of co-dominance set and incomplete dominance set. Thus, the area Y may have one dominant allele from co-dominance and one allele which is not completely dominant from incomplete dominance.
Therefore, the label to marked area Y may be - both dominant alleles are fully expressed in offspring.
Step-by-step explanation:
yw
tu respuesta es d que tengas un buen día
The amusement park won’t allow kids to ride roller coasters until they are a minimum of 48 inches tall. Michael is now 42 inches tall, and grows about 1/2 inches every month. How many months will it be until Michael can ride a roller coaster? (Solve with inequalities and solve for x)
42+1/2x=48
1/2x=6
x=6*2
x=12
12 months or a year until he could ride a roller coaster.
4. Use the two patterns below. What are the first four ordered pairs formed from
corresponding terms of the two patterns? *
Add 4: 0, 4, 8,
Add 2: 0, 2, 4,
Answer:
0,2,4,8
Step-by-step explanation:
:)