Answer:
B. a₁ = -6, aₙ = aₙ₋₁ + 4Step-by-step explanation:
From the given sequence we see that:
Common difference is 4Find the first term:
a₁ + 3*4 = a₄a₁ + 12 = 6a₁ = -6The recursive formula for this sequence is:
a₁ = -6, aₙ = aₙ₋₁ + 4Correct choice is B
Answer:
a1=-6; an=an−1+4
Step-by-step explanation:
Because the starter number is 6 and you go up by 4.
The sum of two numbers is 17
The difference of those same two numbers is 3
Find the two numbers
Graph the equations, and determine your answer by marking the point of intersection
The two numbers are 7 and 10 whose sum is 17 and whose difference is 3.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that the sum of two numbers is 17 and the difference of those same two numbers is 3.
We need to find those two numbers.
Let x and y are the two numbers.
Sum of two numbers is 17
x+y=17..(1)
Difference of two numbers is 3
x-y=3..(2)
From equation 1,
x=17-y
Now substitute this in equation 2.
17-y-y=3
17-2y=3
17-3=2y
14=2y
Divide both sides by 2
y=7
Now add y value in equation 1
x+7=17
Subtract 7 from both sides
x=10
Hence, the two numbers are 7 and 10.
To learn more on Equation:
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Your dogs water bowl is 3/4 full. After taking a drink, the water bowl is 1/3 full. What fraction of the bowl did your dog drink? If you can please show work! Thanks!
Answer:
The dog drank 5/12 of the bowl
Step-by-step explanation:
Common denominator
3/4 = 9/12
1/3 = 4/12
9/12 - 4/12 = 5/12
Answer: Your dog drank 5/12 of the bowl.
Step-by-step explanation:
3/4 - 1/3 = 5/12
3/4 = 9/12
1/3 = 4/12
9/12 - 4/12 = 5/12
Therefore, your dog drinks 5/12 of the water in the bowl.
hope this helps :D
Can somebody please help
Step-by-step explanation:
x + 90⁰ + 90⁰ + 120⁰ = 360 ....sum of angles of quadrilatral is 360⁰
x = 60⁰...
What is the angle of the slope
Answer:
y=103°
Step-by-step explanation:
Supplementary angles:
[tex]y+77=180[/tex]
[tex]y=103[/tex]
Lydia's teacher wants her class to take note of the gas prices around town and round them all to the nearest whole number. Lydia found these gas prices:
$3.51, $3.84, $3.41, and $3.79.
Which of these prices would round to $3.00?
Add the polynomial expressions using the horizontal format.
(6x3 + 5x) + (4x3 + x2 - 2x + 9)
Answer:
I'll clear the parentheses first. This is easy to do when adding, because there are no "minus" signs to take through any parentheticals. Then I'll group the like terms in accordance to their variables (keeping them in alphabetical order), and finally I'll simplify:
(2x + 5y) + (3x – 2y)
2x + 5y + 3x – 2y
2x + 3x + 5y – 2y
5x + 3y
These two terms are un-like (because they have different variables), so I cannot combine them. This means that I've gone as far as I can, so my hand-in answer is:
5x + 3y
Step-by-step explanation:
HELP PLZZZZZZ PLZZZZZZ I GIVE EXTRA POINTS
Plz do the last box’s for me
Answer:
I think its 0.2
Step-by-step explanntion
3 months late
Find the volume V of the cone. Round your answer to the nearest tenth.
15% of 35 with explanation pls
Answer:
5.25
Step-by-step explanation:
15% of 35 = 35 times 15% = 35 × 0.15 = 5.25
I need you to the rescue
Answer:
E. 360
Step-by-step explanation:
We have two boxes of 6in by 6in,
and 4 with 12in by 6in, so we just multiply to find the area and add them up
6 x 6 = 36 x 2 = 72
12 x 6 = 72 x 4 = 288,
add them up and we get 360.
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Answer:
E
Step-by-step explanation:
6*6= 36
There are two of these squares so 72
12*6= 72
there are four of these rectangles so 288
soooo......288+72= 360
so E
Please help me with this homework
Answer:
It takes five days for them to have the same amount of money.
What point represents the x- intercept of the graph of the equation y = 3/5x +3/2?
Answer:
(-2.5,0)
Step-by-step explanation:
To find the x intercept you need to set y=0 then solve for x.
y=3/5x + 3/2
0=3/5x + 3/2
-3/2 = 3/5x
x = -2.5
you put in into point form. (-2.5,0)
In the rectagular prism shown below, GH is parallel to EF. If the equation of GH is 6y-x=2, could the equation of EF be 4=y-1/6x? Explain your reasoning.
Answer:
Yes
Step-by-step explanation:
Given
GH:
[tex]-6y - x = 2[/tex]
Required
Can EF be
[tex]4 = y - \frac{1}{6}x[/tex]
First, we determine the slope of GH
[tex]-6y - x = 2[/tex]
Solve for 6y
[tex]6y = -x - 2[/tex]
Solve for y
[tex]y = -\frac{1}{6}x - \frac{2}{6}[/tex]
[tex]y = -\frac{1}{6}x - \frac{1}{3}[/tex]
An equation has the form:
[tex]y =mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparison:
[tex]m = -\frac{1}{6}[/tex]
Next, determine the slope of EF
[tex]4 = y - \frac{1}{6}x[/tex]
Make y the subject
[tex]y = -\frac{1}{6}x + 4[/tex]
The slope is:
[tex]m = -\frac{1}{6}[/tex]
Compare the slopes of both lines.
[tex]m=m = -\frac{1}{6}[/tex]
Since they have the same slopes, then the equation of EF is possible
A 7-pack of movie tickets costs $41.84. What is the unit price, rounded to the nearest cent?
per ticket
Submit
Answer:
$5.98
Step-by-step explanation:
Unit price is the cost of a single ticket
41.84/7=5.98
Answer:
$5.99
Step-by-step explanation:
41.84/7= 5.98571429 = 5.99
Pleaseeeee helppppp will mark you as brainlist
Answer:
The length of the hypotenuse is 91.7
Step-by-step explanation:
To Solve this we first need to distribute the x to the base and side of the triangle, 6(13) + 5 = 83 & 3(13) = 39
Now we use pythagorean theorem, A squared + B squared = C squared.
83 squared = 6889
39 squared = 1521
Now add them up
6889 + 1521 = 8410
Now since it is C squared, we need to find the square root to get C.
The square root of 8410 = 91.7060521 or to round the tenth, 91.7
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5. Place the following numbers in order from least to greatest. √16, 6, √19, 5, √37
A. 5, 6, √16, √19, √37
B. √16, √19, 5, √37, 6
C. √16, 5, 6, √19, √37
D. √16, √19, 5, 6, √37
How many solutions does the system y = -3x - 3 and y = -3(x + 1) have? Why?
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
In the data set below, what is the mean absolute deviation? 38147 If the answer is a decimal, round it to the nearest tenth. mean absolute deviation (MAD):
Answer:
2.32
Step-by-step explanation:
Given the data:
3, 8, 1, 4, 7
The mean absolute deviation (MAD) :
Σ|x - m| / n
Mean, m = Σx / n
Σx = 23
n = 5
Mean, m = 23 / 5 = 4.6
|3 - 4.6| + |8 - 4.6| + |1 - 4.6| + |4 - 4.6| + |7 - 4.6|
(1.6 + 3.4 + 3.6 + 0.6 + 2.4) / 5
= 2.32
My problem is posted below:
A 7-pack of ice cream bars costs $3.36. What is the unit price?
Answer:
$0.48
Step-by-step explanation:
3.36/7=0.48
Multiple choices
A. Triangle CFB is congruent to Triangle EDB by the SAS theorem.
B. Triangle CFB is similar to triangle EDB by the AA similarity
C. The measurement of angle CE is 46 degrees
D. The measurement of angle ED is 108 degrees
E. Central angle of circle A measured 72 degrees
Answer: B and C: Triangle CFB is similar to triangle EDB by the AA similarity; The measurement of angle CE is 46 degrees
Step-by-step explanation:
I found out the answer after getting it wrong in Math Nation section 10
Answer:
B. Triangle CFB is similar to triangle EDB by the AA similarity
C. The measurement of angle CE is 46 degrees
Step-by-step explanation:
I also took the test
The area of a triangle is 24 square inches. What is the height of the triangle if the base length is 8 inches? (5 points) 6 inches 8 inches 12 inches 16 inches
Answer:
6
Step-by-step explanation:
Answer:
The correct answer is 6.
Step-by-step explanation:
I took the test and got it right
The Front and Back sides are both triangles. Explain why he isnt going to divide the base x height by 2.
Answer:
is it to late now??
Step-by-step explanation:
Need help will give brainliest if you answer plz explain how I want to learn?
Answer:
16 degrees
Step-by-step explanation:
This is a right triangle with shorter leg 3 in and hypotenuse 11 in. The 3 in side is opposite the angle theta. Thus, by definition of the sine function,
sin theta = 3/11 = 0.273
Using a calculator and the inverse sine function, we get theta = 0.276 radian, or 15.8 degrees. This rounds up to 16 degrees.
Rewrite in simplest terms: 10(7g-9h)-4h-8(-h+8g)10(7g−9h)−4h−8(−h+8g)
Answer:
6g-90h+6320gh-720h²-4480g²
Answer:
6g−86h
Hopefully this is correct :)
museum has an aquarium in the shape of a right rectangular prism that is 22 meters long, 7 meters wide, and 4 meters high. What is the volume of the aquarium?
Answer:
790
Step-by-step explanation:
The volume equals: Height * Width * Length
Therefore, the volume = 22.9*7.5*4.6 = 790 cubic meters.
Help me pls!!! I will give brainleiest
Answer:
D
Step-by-step explanation:
this is because it is closed circle so the underline for the inequality sign must be required and it points to everything less than 2 so the ineqaulity sign will go to 2 as it is bigger than x
A pool holds 8400 litres of water. A builder fills up the pool with a 17 litre container. He pours in 379 containers of water. Is this enough to fill the pool?
Answer:
No, because 379 times 17 6443
Step-by-step explanation:
Emergency help please
Answer:
x = 91
Step-by-step explanation:
y = 130
The supplementary angle with y is 50
z = 321
360 - 321 = 39
Interior angles:
50 and 39 and x
To find x:
x + 50 + 39 = 180
x + 89 = 180
x = 180 - 89
x = 91
can Someone help me I really don't understand