Answer:
T
n
+
1
=
T
n
+
d
T
1
=
a
Where the first term is equal to
a
and the common difference is
d
.
Option a can be expressed as follows:
T
n
+
1
=
T
n
+
4
T
1
=
1
Option c can be expressed as follows:
T
n
+
1
=
T
n
−
4
T
1
=
1
Hence both are arithmetic sequences (the other two options are geometric sequences with common ratios of 4 and 0.25 respectively)
Hope that helps :)
Step-by-step explanation:
Write the slope-intercept form of the equation of the line described.
what is the value of x in the
triangle?
Answer:
x = 75°
Step-by-step explanation:
Sum of angles in a triangle: 180°
So,
50°+55°+x=180°
105°+ x = 180°
Subtract 105° from both sides
x = 75°
Solve the trigonometric equation for all values 0 < x < 2pi
sec x – 1= 0
Answer: x= pi
Step-by-step explanation:
at a certain time of day, the angle of elevation of the sun is 70 degrees. to the nearest foot, find the height of a tree whose shadow is 32 feet long
See attachment for math work and answer.
The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. The height of the tree is 39.1027 feet.
What is Tangent (Tanθ)?The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The Base is the adjacent smaller side of the angle θ.
Tan(70°) = Height of the tree/Shadow of the tree
Tan(70°) = Height of the tree/ 32 feet
Height of the tree = 39.1027 feet
Hence, the height of the tree is 39.1027 feet.
Learn more about Tangent (Tanθ):
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Given point T(-6,-3) and point K(2,3), find the distance from point T to point K.
Answer:
[tex]d = 10[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point T (-6, -3)
Point K (2, 3)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute [DF]: [tex]d = \sqrt{(2+6)^2+(3+3)^2}[/tex]Add: [tex]d = \sqrt{(8)^2+(6)^2}[/tex]Exponents: [tex]d = \sqrt{64+36}[/tex]Add: [tex]d = \sqrt{100}[/tex]Evaluate: [tex]d = 10[/tex]Solve the following inequality.
7(6 - 4n) + 4n > 138
Answer:
n <−4
42 - 28n + 4n >138
42 - 24n >138
-24n > 138 - 42
-24n >96
n <−96/24
N <−4
You apply a fertilizer at 1 ounce for every 3 gallons and use 432.5 gallons of water. How much fertilizer did you use?
1. Is the relation a function and why or why not?
{(1, 2), (2, 3), (1, 6), (4,3)}
Answer:
Its not a function, D
Step-by-step explanation:
its not a function because the x value, 1, repeats. input is x and output is y, so the input of 1 has more than one output.
28. How much plain yogurt will you need to make 2 1/2 dozen cookies? Show your work.
Answer:
[tex]\frac{5}{6}[/tex] cups
Step-by-step explanation:
Normally, when working with mixed numbers, I would prefer to turn them into improper fractions first before evaluating.
1 [tex]\frac{1}{2}[/tex] cookies --- [tex]\frac{1}{2}[/tex] cup plain yogurt
[tex]\frac{3}{2}[/tex] cookies --- [tex]\frac{1}{2}[/tex] cup plain yogurt
2[tex]\frac{1}{2}[/tex] cookies --- ? cup plain yogurt
[tex]\frac{5}{2}[/tex] cookies --- [tex]\frac{5}{3}[/tex] × [tex]\frac{1}{2}[/tex] cup plain yogurt = [tex]\frac{5}{6}[/tex] cups plain yogurt
What is the y-intercept when a line has a slope of 7 and passes
through the point (-1,-3)?
A group of 31 students is going to visit the museum. The total cost for the tickets is $145.15. About how much money will each student need to pay for a ticket?
Answer:
$4.65
Step-by-step explanation:
someone plz help ive been stuck on this problem
Miguel did the following math problem: 6^5 ∙ 6^4 = 36^9.
Which of the following is a true statement?
He is correct.
He is incorrect because he should have subtracted the exponents.
He is incorrect because he should have multiplied the exponents.
He is incorrect because he multiplied the bases.
Answer:
He is incorrect because he multiplied the bases.
Step-by-step explanation:
[tex] \huge 6^5 ∙ 6^4 = {6}^{5 + 4} = {6}^{9} [/tex]
He is incorrect because he multiplied the bases.
Rise of the Rivnyannya
Step-by-step explanation:
full work and answers for all 12 problems
Diego has $11 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $60 and begins spending $2 per week on supplies for her art class.
Is there a week when they have the same amount of money? How much do they have at that time?
Answer:
Let x represents the week and y represents the amount of money.
As per the given statement:
Diego has $11 and begins $5 each week toward buying a new phone.
⇒ ......[1]
It is also given that Lin $60 and begins spending $2 per week.
⇒ ....[2]
when they have the same amount.
equate [1] and [2] we get;
Add both sides 2x we get;
Subtract 11 from both sides we get;
Divide both sides by 7 we get;
x = 7
Substitute the value of x = 7 in [1] we have;
Therefore, at x= 7 week they have the same amount of money and they have the amount at that time, $ 46
Step-by-step explanation:
find the slope of 4x-y=8 and solve
Answer:
m = 4
Step-by-step explanation:
Slope = 4
Slope-intercept form =
y = mx + b
m = slope
b = y-intercept
y = 4x - 8
Therefore, the slope is 4 and y-intercept is -8.
Hope this helps!!
Answer:
Slope of line=A/B
=4/-1
=-4
PLEASEE HELPPP!!!!
the total land area of australia is about 8,000,000 km^2 , or 8 × 10^6 km^2.
the total land of new york city is about 800 km 2, or 8 × 10^2 km^2.
About how many times larger is australia than new york city?
A. 7,999,200
B. 4 times
C. 1 × 10^4 times
D. 1 × 10^-4 times
Answer:
C. 1 × 10^4 times
Step-by-step explanation:
Australia= 8 × 10^6 km^2
New york= 8 × 10^2 km^2
easy
look at the exponents when you divide them they subtract
(8 × 10^6 km^2)/(8 × 10^2 km^2)
6-2=4
8/8=1
1*10^4
8000000
/800
10000
or
1*10^4
What is the slope of the line?
Answer:
6/3=2
Step-by-step explanation:
Solve the proportion
Answer:
x= -21
Step-by-step explanation:
Jamal discovers that the sum of Point B and Point C is zero. A number line with points A, blank, B, blank, 0, blank, C, D, blank. Which sentence is a correct statement about points B and C? Point B is twice the distance to the left of zero as C is to the right of zero. Point B is the opposite of Point C. Point B has a value of 0 and Point C has a value less than 0. Point B is positive, while Point C is negative.
Answer:
point b is twice the distance
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
100
What is the least common multiple (LCM) of 5 and 9?
14
35
40
45
Answer:
35
Step-by-step explanation:
Seven friends have similar cell phone plans. The price of each plan is $x. Three of the seven friends pay an extra $4 per month for unlimited text messaging. Write and simplify an expression that represents the total cost of the seven plans. (Provide expression in simplest form)
Answer: 7x + 12
Step-by-step explanation:
The price of each plan = $x
Since three of the seven friends pay an extra $4 per month for unlimited text messaging, the cost of the three friends will be:
= 3(x + 4)
The cost if the other four friends will be:
= 4 × x
= 4x
Therefore, the total cost of the seven plans will be:
= 4x + 3(x + 4)
= 4x + 3x + 12
= 7x + 12
For the sequence an
4n + 7, which term number is 335?
Gr
How many cups of lime juice does Marcus
need for 3 cups of Greel yogurt?
Answer:
1/5 or 1 1/5
Step-by-step explanation:
Answer:1 1/5c of lime juice
Step-by-step explanation:
2/3 = 20/b solve for b.
2 (5 – a) – 6 (2a + 3)
Answer: -14a - 8
Step-by-step explanation:
so basically... idek
Which expression is equivalent to 30 ÷ (3 + x)
A. (3 + x) ÷ 30
B. 30 ÷ (x +3)
C (3÷30) + x
D 30 ÷ 3 + 30 ÷ x
Answer:
Answer would be B because addition is commutative that is, a + b = b + aSo answer would be 30 ÷ (X + 3)
Which expression is equivalent to 5(x - 3y + 4)
A:5x-8y+9
B:1/5x-3/5y+4/4
C:1/5x-3/5y+4/5
D:5x-15y+20
Please respond quick
Answer:
D. 5x-15y+20
Step-by-step explanation:
If you distribute 5 to all the numbers in the parenthesis, you get 5x-15y+20. This is because 5 multiplied by x is 5x, 5 multiplied by 3y is 15y, and 5 multiplied by 4 is 20. I hope this helps!
Answer:
D
Step-by-step explanation:
you have to distribute the number 5 between all of the numbers. Is because
5 * x is 5x 3y is 15y, and 5 *4 is 20.
If you shift the linear parent function, f(x) = x, to the left 2 units, what is the
equation of the new function?
it's a horizontal translation so, the equation is f(x) = (x + 5). Whenever you translate to the right it is negative.
PLEASE HELP! A tank containing 35 gallons of water is leaking at a rate of 1/4 gallon per minute. Write an expression to determine the number of gallons left in the tank after m minutes. Thank you!
Answer:
35 - m is the expression used to determine the number of gallons left in the tank after m minutes.
Step-by-step explanation:
Given:
Tank with 35 gallons of water is leaking at a rate of gallon per minuteCalculations:
Let "m" represent the number of minutes spent Number of gallons left in the tank = initial amount of water present – leaked amount of water [tex]=35-m * 1=35-m[/tex] The required expression is 35 – m