Answer:
The sequence is:
5, 14, 23, 32
Step-by-step explanation:
We know that an Arithmetic sequence with a₁ and the commo difference 'd' has the nth term such as:
aₙ = a₁ + (n-1)d
Given the arithmetic sequence
5, _____, ______, 32
here:
a₁ = 5
n = 4
aₙ
so substituting a₁ = 5, n = 4 and aₙ = 32 in the nth term
aₙ = a₁ + (n-1)d
32 = 5 + (4-1)d
32 = 5 + 3d
3d = 32-5
3d = 27
divide both sides by 3
3d/3 = 27/3
d = 9
Therefore, the common difference: d = 9
Determining the 2nd term:
Using the formula
aₙ = a₁ + (n-1)d
substitute n = 2, a₁ = 5, d = 9
a₂ = 5 + (2-1)9
a₂ = 5 + 1(9)
a₂ = 5 + 9
a₂ = 14
Determining the 3rd term:
Using the formula
aₙ = a₁ + (n-1)d
substitute n = 3, a₁ = 5, d = 9
a₃ = 5 + (3-1)9
a₃ = 5 + 2(9)
a₃ = 5 + 18
a₃ = 23
Thus, the sequence becomes:
5, 14, 23, 32
What's up extras? I need help with this question!
If f(1) = 160 and f(n + 1) = –2f(n), what is f(4)?
Brainliest if you're correct!!
Ah! It's me! I lost my password-
I'm kAtSuKiBaKuGo02 qmp
Answer: f(4)=-1280
Step-by-step explanation:
Please help me!
Will mark brailest if you are right!!!
Answer:
f(x) = 3x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 3)
m = [tex]\frac{3-0}{1-0}[/tex] = 3 , then
y = 3x ← is the equation of the graphed line
what is 11^0 x 5x - 789
X=6
Answer:
-759
Step-by-step explanation:
Any number powered by 0 equals to 1, so the equation then becomes 1 × 5x - 789, but then x is 6, so it's 30 - 789, which is -759.
In rectangle uvwx, xy = YW = 18.5 in. What is the area of rectangle uvwx
IM BEING TIMED PLEASE ANSWER THANKS
Answer:
The area of the rectangle is 420 square inches
Step-by-step explanation:
By adding the diagonals, we have a total of
18.5 * 2 = 37 inches
We can apply Pythagoras’ theorem to get the other side of the triangle
It states that the square of the hypotenuse equals the sum of the squares of the two other sides
Let the other side measure x inches
Thus;
37^2 = 12^2 + x^2
x^2 = 37^2 - 12^2
x^2 = 1225
x = √1225
x = 35 inches
So the area of the triangle would be;
35 * 12 = 420 square inches
Answer:
420
Step-by-step explanation:
Which algebraic expression represents this mathematical statement? 32 more than a number
A. m
B. s
C. d
D. x
Which statements are true regarding triangle LMN? Check all that apply.
Answer:A,C,E
Step-by-step explanation:I took the quiz
Answer:
its right ACE
Step-by-step explanation:
Solve And Graph 12 + 6 _> 42
Answer:
Steps
12+6>42
simplify
18>42
There for the solution us FALSE
A bridge spans a distance of 1012m. Large cables are attached to the tops of the towers, 45 m above the road. The road is suspended from the large cables by many smaller vertical cables. The smallest vertical cable measures about 1.5m. Determine a quadratic equation for the large cables.
Answer:
A quadratic equation for the large cables is [tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]
Step-by-step explanation:
The shape of the quadratic equation representing the large cables is a parabola
Taking the point of the smallest vertical cables as the vertex, (h, k) with coordinates, (0, 1.5), we have;
h = -b/(2·a)
∴ 0 = -b/(2·a), from which we have, b = 2·a × 0 = 0
k = 1.5 = c - (b²/(4·a) = c - (0/(4·a)) = c
∴ c = 1.5
The standard form of the quadratic equation, a·(x - h)² + k is therefore, given as follows;
f(x) = a·(x - 0)² + 1.5 = a·x² + 1.5
At the towers which are on either side of the bridge, when x = 1012/2 = 506, f(x) = y = 45
Therefore, we have;
45 = a·506² + 1.5
a = (45 - 1.5)/506² = 87/512072 ≈ 1.699 × 10⁻⁴
The quadratic equation for the large cables, f(x), can therefore be presented as follows;
[tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]
Can someone help me out?
Answer:
do I solve it or what am I supposed to do
Answer:
y=6
Step-by-step explanation:
To figure out a special number, Tammi’s mother was supposed to double her age and then add 4. Instead, Tammi’s mother added 4 to her age and then doubled that number. Tammi’s mother thought the special number was 80. What was the special number supposed to be?
Answer:
86
Step-by-step explanation:
36 + 4 = 40 x 2 =80
36 x 2 = 82 = 4 - 86
Hope it helps!
The special number was supposed to be; 76
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
For age 'a', the special number was
2a +4
Tammi's mother actually calculated it as;
2(a +4) = 2a +8
Now a value that is (2a+8) -(2a+4) = 4 more than it was supposed to be.
The special number was supposed to be;
80 -4 = 76.
Learn more about equations here;
https://brainly.com/question/25180086
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1.
We want to solve the following system of equations using the substitution method.
Equation 1
y = 4x + 17
Equation 2
y = 2x + 7
First solve for x.
Answer:
2x + 7= 4x + 17
x=−5
X - 5 = -11
Solve the value of x.
6/7 + 6/14
it says your answer should be a whole number, fraction, or mixed number
Answer:
Step-by-step explanation:
9/7
Hope it helped you.
Please mark me brainliest.
In Jefferson Middle School, 5% of the sixth graders have red hair. If there are 100 sixth graders, how many have red hair?
5
20
50
95
help im am i n a test !!!!
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
[tex] \frac{5}{100} \times 100[/tex]
Work out these approximate conversions. 8 miles=..... km
Answer:
12.87 km
Step-by-step explanation:
searched it up
Yoo 9th grade math please help me out My grade is slowly slipping
Answer: I'm pretty sure it would be no
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
y_<_2x
4_<_2(3)
4_<_6
true
y > x + 4
4 > 3 + 4
4 > 7
false
The angle of elevation of the top of a flagpole from a point on the ground 30 meters
from the base of the flagpole is 18 degrees. What is the height of the flagpole, to the
nearest meter?
I need help
Answer:
[tex]10\:\mathrm{meters}[/tex]
Step-by-step explanation:
We can use trigonometry for a right triangle to solve this problem:
[tex]\tan 18^{\circ}=\frac{h}{30},\\h=30\cdot\tan 18^{\circ},\\h\approx \fbox{$10\:\mathrm{m}$}[/tex].
The height of the flagpole is 10 meters.
What is angle of elevation?"It is the angle from the horizontal upward to an object."
For given question,
Consider the following figure.
The angle of elevation is 18°
⇒ ∠ACB = 18°
Also, BC = 30 meters
We need to find the height of the flagpole i.e., we need to find the distance AB.
Consider a tan(∠ACB )
[tex]\Rightarrow tan(18^{\circ})=\frac{AB}{BC}\\\\ \Rightarrow 0.3249 = \frac{AB}{30}\\\\ \Rightarrow AB=9.747 ~~meters\\\\\Rightarrow AB\approx 10~~meters[/tex]
Therefore, the height of the flagpole is 10 meters.
Learn more about angle of elevation here:
https://brainly.com/question/21137209
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what is the area of the real object that the scale drawing models?
a. 300 square cm
b. 12 square cm
c. 60 square cm
d. 25 square cm
Answer:
60 square cm
answer c
Step-by-step explanation:
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Answer:
A 300 square cm
Step-by-step explanation:
I need help with this ASAP and can you explain so i can understand?!
Answer: 225 adult tickets, 375 student tickets
Step-by-step explanation:
a = adult tickets
s = student tickets
a + s = 600 (the adult and student ticket added together should equal 600)
6.00a + 4.50s = 3,037.50 ($6 multiply by the adult ticket plus $4.50 multiply by the student ticket should equal to 3,037.50)
a = -s + 600 (get one of the variable by itself by subtracting it from one side)
6 (-s + 600) + 4.5s = 3,037.5 (substitute the a for -s + 600)
-6s + 3600 + 4.5s = 3,037.5 (combine like terms)
-1.5s + 3600 = 3,037.5 (subtract 3600 from each side)
-1.5s = - 562.5 (divide -1.5 from each side)
s = 375
600 = 375 + a (substitute s for 375)
a = 225
Show if 2 is a SOLUTION or NOT a SOLUTION to the equation 0.5(x + 0.8) = 1.4
Step-by-step answer:
0.5(x+0.8)=1.4
0.5x+0.4=1.4
0.5x+0.4-0.4=1.4-0.4
0.5x=1
0.5x/0.5=1/0.5
x=2
Plzzzzz give me Brainliest!!!!!
What is the value − 3 1/4 ∙ 2 1/3
Answer:
the value of this is-217÷4 = -54.25
solve the proportion
4/5 = x/15
Answer:
x = 12
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Answer:
hmmm it got deleted
x=12
Step-by-step explanation:
because 4/5 times 15 is 12
also, 5x=60
x=12
f(x) =-2 |x + 1|
how do I do this?
Answer:1
Step-by-step explanation: f(x)=-2 |x+1|
plug in the f(x) which is -2 into x to solve.
|-2+1|= |-1|= 1, it turns into positive 1.
The sum of two numbers is 57 and the difference is 23 what are the numbers?
Answer:
40 and 17
Step-by-step explanation:
40 + 17 = 57
40 - 17 = 23
Not much of an explanation but hope it helps!
Help with his plz ASAP!!
Answer:
what do you need help on?
Helllp,??????????????
Can u pls help me with this question
The parent function of the function g(x) = (x – h)2 + k is f(x) = x2. The vertex of the function g(x) is located
at (9, –8). What are the values of h and k?
9514 1404 393
Answer:
(h, k) = (9, -8)
Step-by-step explanation:
The function g(x) is "vertex form" for a quadratic whose vertex is (h, k). We are told the vertex is (9, -8), so we have ...
(h, k) = (9, -8) . . . . the values of h and k
Alisa, Mykia, and Martin decide to share the responsibility of walking their dog every day. There are 365 days in a year. How many days each year does Alisa need to walk the dog?
Answer: 121 2/3 days
Step-by-step explanation:
Number of days in a year = 365 days
Number of friends = 3 friends
The number of days each year that Alisa need to walk the dog will be:
= Number of days in a year / Number of friends.
= 365 / 3
= 121 2/3 days
= 121 days + (2/3 × 24hours)
= 121 days 16 hours
Note that 24 hours = 1 day
Emily is purchasing bags of soil to be delivered for her yard. Each bag of soil cost
$4 and there is a $50 delivery fee. Emily spends $130 total. Write an equation for
x, the number of bags of soil Emily purchased.
Answer:
equation- 4x + 50 = 130
Step-by-step explanation:
once solved you will know the number of bags Emily purchased (x).