Step-by-step explanation:
The x's will simply cancel each other out and you will be left with a 6
hope it makes sense
:)
Write a rule for the nth term of the sequence. Then find a..
3. 4, 20, 100, 500, ...
Answer:
Rule is 4(5)^(n-1).
a7 = 62500.
Step-by-step explanation:
This is a geometric sequence with a1 = 4 and r = 20/4 = 5.
a7 is 4(5)^(7-1)
= 4 * 5^6
= 62500.
the general form of the given sequence is a(n) = 4 * 5ⁿ⁻¹ and a(7) is 62500.
What is the geometric sequence?A geometric sequence is a sequence of numbers that follows a pattern where the next term is found by multiplying by a constant called the common ratio, r.
Given a sequence 4, 20, 100, 500, ...
From the general formula of the nth term of the geometric sequence:
a(n) = arⁿ⁻¹
where,
a is the first term
r = ratio of two subsequent terms
in our case
a = 4
r = 20/4 = 5
thus, the general form of the given sequence
a(n) = 4 * 5ⁿ⁻¹
To find: a(7)
a(7) = 4 * 5⁶
a(7) = 62500
therefore, the general form of the given sequence is a(n) = 4 * 5ⁿ⁻¹ and a(7) is 62500.
Learn more about geometric sequence here:
https://brainly.com/question/13008517
#SPJ2
6=_-(-8) find the missing value
Answer:
-2
Step-by-step explanation:
when there are two negative signs directly next to each other, it becomes a positive. Set the equation. Let the unknown number be signified by the variable, x:
6 = x - (-8)
6 = x + 8
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 8 from both sides of the equation:
6 (-8) = x + 8 (-8)
6 - 8 = x
x = 6 - 8
x = -2
-2 is your missing value.
~
Hey there!
6 = ____ - (-8)
• We’re going to substitute the blank value as “x” because we don’t know the variable is just yet.. it is unknown
x - (-8) = 6
x + 8 = 6
SUBTRACT 8 to BOTH SIDES
x + 8 - 8 = 6 - 8
CANCEL out: 8 - 8 because that gives you 0
KEEP: 6 - 8 because that helps solve for the x-value
x = 6 - 8
6 - 8 = x
x = -2
Answer: -2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
what is the answer for 23/4 + -23/4 - -15/4 + 9/4
Answer:
[tex]-\frac{6}{4}[/tex]
Step-by-step explanation:
The first 2 numbers cancel, and -15/4+9/4 is the same as 9/4 - 15/4
Please mark me as brainliest if I am correct
Answer:
6
Step-by-step explanation:
In the equation, [tex]\frac{23}{4} + -\frac{23}{4} --\frac{15}{4} + \frac{9}{4}[/tex], we can see that [tex]\frac{23}{4} + -\frac{23}{4}[/tex] cancel each other out
This leaves us with [tex]--\frac{15}{4} + \frac{9}{4}[/tex]. The negatives "negate" themselves giving us [tex]\frac{15}{4} + \frac{9}{4} = \frac{24}{4}[/tex] or [tex]6[/tex]
Hopefully (some part of) this explanation makes sense (or at least somewhat). If this doesn't make sense, please tell me and I will try to make it more understandable as soon as possible.
It would help if you marked my answer as Brainliest, if I'm correct, so I can help even more people! (I would really appreciate it!)
A mobile device that normally sells for $99.90 is
marked down 10%. What's the discount price?
$99.00
$89.99
$89.91
$89.90
Answer:
89.90 is the answerrrrrrrrrrr
Answer:
89.91
Step-by-step explanation:
You can do this with a calculator 99.90-10%
I NEED HELP ASAP!!! #32!!
Answer:
If it's parallel, then it has the same slope.
Find the slope from the two coordinates and compare the slope to see which ones are right.
You should get a slope of like 2/3 from the two points, so the only equation with the same slope is B.
Your answer is B.
A bag of sweets contains mints and toffees only.There are 21 mints in the bag.One quarter of the sweets are toffees.Calculate the total number of sweets in the bag.
Answer:
Total number of sweets in the bag is 28
Step-by-step explanation:
let the total number of sweets in the bag be x :
[tex]{ \tt{for \: toffees : }} \\ \frac{1}{4} \: of \: x[/tex]
therefore fraction of mints = 1 - fraction of toffees :
[tex] = \frac{4}{4} - \frac{1}{4} \\ \\ = \frac{3}{4} [/tex]
therefore:
[tex] = > \frac{3}{4} \: of \: x = 21 \: mints \\ \\ \frac{3}{4} \times x = 21 \\ 3x = 21 \times 4 \\ x = \frac{21 \times 4}{3} \\ x = 28[/tex]
total sweets number is 28
What is the value of k in the equation (k - 1)/ 15 = 15/9 ?
[tex]\\ \sf\longmapsto \dfrac{k-1}{15}=\dfrac{15}{9}[/tex]
[tex]\\ \sf\longmapsto 9(k-1)=15^2[/tex]
[tex]\\ \sf\longmapsto 9k-9=225[/tex]
[tex]\\ \sf\longmapsto 9k=225+9[/tex]
[tex]\\ \sf\longmapsto 9k=234[/tex]
[tex]\\ \sf\longmapsto k=\dfrac{234}{9}[/tex]
[tex]\\ \sf\longmapsto k=26[/tex]
Step-by-step explanation:
everything can be found in the picture
which postulate or theorem, if any, could you use to show the two triangles are congruent?
Answer:
ASA theorum
Step-by-step explanation:
we are given 1 side and 1 angle, other angle is vo of it corresponding equal angle
solve please this question
Step-by-step explanation:
[tex]sum \: of \: angles \: in \: a \: circle = 360 \\ so \\ 5a + 2a + 2a + 5a + 4a = 360 \\ 18a = 360 \\ a = \frac{360}{18} \\ a = 20 \\ thank \: you[/tex]
Which number below comes first when the numbers are listed from least to greatest? Explain. 22 16 -3, 817, - 4.5 7 5 ... Which number comes first when the numbers are listed from least to greatest?
A. - 4.5 because it is the negative number with the greatest absolute value.
В. 16 because it is the greatest positive number. 5
C. V17 because it is the greatest positive number.
D. -3 because it is the negative number with the greatest absolute value. 22 hen click Check Answer
Answer: Choice A.
- 4.5 because it is the negative number with the greatest absolute value.
===================================================
Explanation:
Stuff to the left is smaller than stuff on the right for any number line.
For example, we can say 2 < 5 since 2 is to the left of 5.
Another example: -7 < 4
To find the smallest item of your given list, we need to look at the value that is furthest to the left. That value would be -4.5 and this value is negative with the largest absolute value (i.e. it is furthest away from 0).
Check out the number line diagram below. It shows where all of the values are placed. We can see that -4.5 is the left-most item.
draw the graph of the following equation 2(x+1)=3(y-1)-4
anyone knows how to do this ?
9514 1404 393
Answer:
see attached
Step-by-step explanation:
I find the easiest way to draw a graph is to let a graphing calculator do it. That result is shown in the attachment.
__
If you're drawing this by hand, it can be easier if it is simplified a bit.
2(x +1) = 3(y -1) -4
2x +2 = 3y -3 -4 . . . . . . eliminate parentheses
2x +9 = 3y . . . . . . . . . . add 7
y = 2/3x +3 . . . . . . . . . divide by 3
This is the equation of the line in slope-intercept form. It tells you that the point (0, 3) on the y-axis is on the line, and that it has a slope of 2/3. That means it has a rise/run of 2/3, or a rise of 2 units for each 3 units to the right.
Starting from point (0, 3), another point on the line will be 3 over and 2 up, at (3, 5). Once you have a couple of points plotted, you can draw the line through them to make your graph.
A rectangle has a width of 3 units. The rectangle's length is 5 times its width.
What is the area of the rectangle?
Answer:
Answer= 45 units
Step-by-step explanation:
lengths = 3 units
width = 3x5= 15 units
area= length times width= 3x15= 45 units!
Hope this helps :)
Find the value of this expression if x - -7.
x2 - 1
x+4
Enter the correct answer
what is the vertex and where is the x-intercept(s)?
Answer:
Vertex (-2,-9)
x-intercepts -5 and 1
y-intercept -5
Step-by-step explanation:
Factorise fully 9m^2-12mp
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Answer:
3m(3m - 4p)
Step-by-step explanation:
Given
9m² - 12mp ← factor out 3m from each term
= 3m(3m - 4p) ← in factored form
Find the 14th term of the geometric sequence 2, 4, 8, ...2,4,8,...
Answer:
14th term is 16,384
Step-by-step explanation:
I. When [tex]a_{n} = a_{1}(r^{n-1} )[/tex]
If n = 14, a = 2 and r = 2
[tex]a_{14} = 2(2^{14-1} )[/tex]
= 2([tex]2^{13}[/tex])
[tex]a_{14}[/tex] = 16,384
Help me please broskies
HELP DETERMINE THE RANGE OF THE FOLLOWING GRAPH … I WILL MARK BRAINLIEST
Hakim and Aziz had some savings in the ratio 3 : 5. Hakim saved another $82 and Aziz spent $110. Both have the same amount of money now. How much do each of them have now?
===========================================================
Explanation:
Hakim and Aziz have savings in the ratio 3:5. This means that Hakim has 3x dollars while Aziz has 5x dollars. The x is some positive real number.
We're then told that Hakim saved another $82, which means it goes from 3x to 3x+82
At the same time, Aziz spent $110 which means the 5x decreases to 5x-110
At this point, the two people have the same amount of money. Set the expressions we found equal to one another and solve for x.
3x+82 = 5x-110
3x-5x = -110-82
-2x = -192
x = -192/(-2)
x = 96
Then use this x value to compute each expression like so
3x+82 = 3*96+82 = 3705x-110 = 5*96-110 = 370Both have $370 after Hakim saved that additional $82 and after Aziz spent that $110.
------------------
Extra info:
If we rewind things a bit, Hakim would have 3*x = 3*96 = 288 dollars while Aziz would have 5x = 5*96 = 480 dollars. This is before any additional saving or spending.
Then note how the ratio 288:480 fully reduces to 3:5 after dividing both parts by the GCF 96.
All of the following are rational numbers except____.
Answer:
3.14159
Explanation:
pi is irrational
Hope this helps!! <3
A popular amusement park has had199,792,458 visitors since it opened. Which
number, written in scientific notation, is the
best approximation of the number of visitors?
a) 0.2 x 107 visitors
b) 0.2 x 108 visitors
c) 2.0 x 107 visitors
d) 2.0 x 108 visitors
Answer:
d) 2.0 * 10⁸
Step-by-step explanation:
199,792,458 ≈ 200,000,000 = 2.0* 10⁸
150 miles in 6 gallons to the nearest hundredth
Answer:
do you have any photo reference to the actual question at this time?
William bought snacks for his team's practice. He bought a bag of oranges for $3.02 and a 20-pack of juice bottles. The total cost before tax was $22.02. Write and solve an equation which can be used to determine jj, how much each bottle of juice costs?
Answer:
.95
Step-by-step explanation:
JJ = (22.02 - 3.02) / 20
(22.02 - 3.02) / 20
19 / 20= $0.95
How do I solve this
Answer:
it's 67
Step-by-step explanation:
Step-by-step explanation:
the base is already same.
-9 + (-8) - (-7) = -10
= m^-10
giải phương trình :
-4x-8x>0
Answer:
[tex]x < 0[/tex]
Step-by-step explanation:
[tex] - 4x - 8x > 0[/tex]
➡️ [tex] - 12x > 0[/tex]
➡️ [tex]x < 0[/tex]
In the last student-council elections, Jill got x number of votes. Morgan got twice as many votes as Jill. Trisha won the election with 7 more votes than Morgan. If 327 students voted in the election, write and solve an equation to determine how many votes Trisha got.
Answer:
the equation is x + 2x + 2x + 7 = 327
or 5x + 7 = 327
x = 64
Trisha has 135 votes.
Step-by-step explanation:
Jill has x votes.
If Morgan got twice as many votes as Jill, then Morgan has
2 times the number of votes
or 2x
Trisha won the election with 7 more votes than Morgan's, so we add 7 to this amount
2x + 7
So assuming Jill, Morgan, and Trisha are the only three candidates:
then x + 2x + 2x + 7 = 327
Combine like terms
5x + 7 = 327
Subtract 7 from both sides
5x = 320
x = 64
Check answer for x:
64 + 2(64) + 2(64) + 7 = 64 + 128 + 128 + 7 = 327
So Trisha has
2x + 7 = 2(64) + 7 = 128 + 7 = 135 votes
What is the expanded form of the number 34.576?
3 x 10 + 4 x 1 + 5 x 0.1 + 7 x 0.01 + 6 x 0.001
3 x 10 + 5 x 1 + 4 x 0.1 + 6 x 0.01 + 7 x 0.001
4 x 10 + 3 x 1 + 7 x 0.1 + 5 x 0.01 + 6 x 0.001
5 x 10 + 4 x 1 + 3 x 0.1 + 7 x 0.01 + 6 x 0.001
Answer:
its the first one I think
The midpoint of AB is M(3,-2). If the coordinates of A are (1, -3),
what are the coordinates of B?
Answer:
23 just took the test
Step-by-step explanation:
Answer:
B(5,-1)
Step-by-step explanation:
The formula for finding the midpoint of any line is: [ (x1+x2) / 2 ] , [ (y1+y2) / 2 ] .So, x1=1 and x2=x. And y1=-3 and y2=y.
So,
(1+x)/2=3, then manipulating it gives x=5.
And,
(-3+y)/2=-2, then manipulating the equation gives y=-1.
Hence B(5,-1)
7(x+2)+34=55 (Find X in the following question)
Answer:
[tex]x = 1[/tex]
Step-by-step explanation:
[tex]7(x+2)+34=55[/tex]
[tex]7(x+2)+34=55[/tex]
[tex](7)(x)+(7)(2)+34=55[/tex]
[tex]7x+14+34=55[/tex]
[tex]7x+48=55[/tex]
[tex]7x = 55 - 48[/tex]
[tex]7x=7[/tex]
[tex]x = \frac{7}{7} [/tex][tex]x = 1[/tex]
Hope it is helpful.....Answer:x=1
Step-by-step explanation:
can someone help me with this question
Answer: The guage block height is 4.98 m
The base of the right triangle that is formed is 7.3784 m
The last angle in the triangle is 56 degrees
Step-by-step explanation:
Redraw the triangle formed in the picture and use H for the hypotenuse, O for the block height, and A for the base. Now we can use trig (SOHCAHTOA) to find the answaers.
Using sine, we can first find the gauge block height, O (Opposite). Given the Hypotenuse (H) is 8.9 m, we can use the definition of the sine of an angle to find the height, O.
Sine(34) = Opposite/Hypotenuse (O/H), or O = H*Sine(34)
O = (8.9)*(0.5592)
O = 4.98 m, the height of the gauge block,
The base of the triangle, A, can be determined with cosine.
Cosine(34) = A/O, or A = Cosine(34)*O
A = (0.82904)*(8.9)
A = 7.3784 m
The sum of all angles in a triangle is 180 degrees.
180 = X + 34 + 90
X = 56 degrees
