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.
For the sequence an
4n + 7, which term number is 335?
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 – m1. 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.
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.
someone plz help ive been stuck on this problem
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):
https://brainly.com/question/10623976
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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:
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.
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:
Find the area of each sector.
Answer:
d. 250π/3
Step-by-step explanation:
A = πr²
A = 3.14(10)² = 314.159
A = 314.159*(5/6) = 261.799
A = 261.799 = 250π/3
Answer:
D
Step-by-step explanation:
You need to set up a ratio between the area of the sector & the area of the circle vs the angle of the sector & 360 degrees.
[tex]\frac{SectorAngle}{360} =\frac{SectorArea}{CircleArea}[/tex]
That above is your formula you need to remember for these equations.
Now let's solve. You've been given the sector angle, which is 300 degrees, and you've been given the radius of the circle, 10 feet.
The area of a circle is the formula: A = πr²
Given that formula and you know the radius. You plug in 10 feet for r and solve for the area.
[tex]A=\pi10^2\\A=314.159[/tex]
Now lets solve for the missing variable (Sector Area).
[tex]\frac{300}{360} = \frac{x}{100\pi }\\100\pi * \frac{300}{360} = \frac{x}{314.159}*100\pi\\100\pi* \frac{300}{360} = x\\\frac{250\pi }{3} = x[/tex]
I kind of messed up since I didn't realize the answer choices were simplified, make sure for the area you don't completely solve the area, keep the pi simple if the answer choices include pi.
Rise of the Rivnyannya
Step-by-step explanation:
full work and answers for all 12 problems
2 (5 – a) – 6 (2a + 3)
Answer: -14a - 8
Step-by-step explanation:
so basically... idek
Which of these expressions is equivalent to log (15*24)?
O A. log (15) log (24)
O B. log (15) - log (24)
O C. log (15) + log (24)
O D. 15 log (24)
Answer:
It's C.
Step-by-step explanation:
log(a×b) = log(a) + log(b)
Helppppp plsssssss help
Write the slope-intercept form of the equation of the line described.
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]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
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
If triangle MNO is rotated 180 degrees clock wise about the Irgun to form triangle PQR , what are the coordinates of the verticals of Triangle PQR?
What conjecture can be made about the relationship between the coordinates of the vertices of a shape rotated 180 degrees clockwise about the origin and original shape ? explain your reasoning
Answer: u got a course hero account ?
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
You apply a fertilizer at 1 ounce for every 3 gallons and use 432.5 gallons of water. How much fertilizer did you use?
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
The expression 7d gives the number of days in d weeks . Evaluate 7d for d=12. How many days are in 12 weeks?
HELP ASAP!
Answer:
84 days are in 12 weeks
Step-by-step explanation:
Answer:
84
Step-by-step explanation:
00:00 Which is the simplified form of
[tex] {6}^{ - 3} [/tex]
? Select the correct answer.
Answer:
1/216
Step-by-step explanation:
Simplify the following:
6^(-3)
Hint: | In order to evaluate 6^3 express 6^3 as 6×6^2.
6^3 = 6×6^2:
1/(6×6^2)
Hint: | Evaluate 6^2.
6^2 = 36:
1/(6×36)
Hint: | Multiply 6 and 36 together.
6×36 = 216:
Answer: 1/216
Answer:
1/1296
Step-by-step explanation:
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°
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)
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
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:
2/3 = 20/b solve for b.