Answer:
23 ^ ( a+b)
Step-by-step explanation:
23^a *23^b
Since the bases are the same, we can add the exponents
23 ^ ( a+b)
Answer:
23^(a+b)
Step-by-step explanation:
A^x*A^y = A^(x+y)
you can think of it like this
A^x = A*A*A*.......*A x times
A^y = A*A*A*....*A y times
therefore A^x * A^y = A*A*A*...*A (x+y) times
=A^(x+y),
so in our case A = 23, and x and y were a and b, so 23^a * 23^b = 23^(a+b)
This morning, Maria's car had 16.03 gallons of fuel. Now, 2.9 gallons are left. How much fuel did Maria use?
Answer:
take 16.03 and subtract 2.9
16.03-2.9=13.13
so maria used 13.13 gallons
Step-by-step explanation:
Maria used 13.13 gallons of gas, because the 16.03 gallons she started with minus the 2.9 gallons she had left equals 13.13 gallons. You can check by adding 2.9+13.13 to equal the 16.03 she started with.
If f(x)=4x-1 and g(x)=1-3x. What is the value of f(g(-2))? a) 26 b) -29 c) 25 d) 24
Answer:
27
Step-by-step explanation:
This isn't one of your answer choices though.
Which term describes this figure?
Answer:
its a angle
Step-by-step explanation:
15+9=?(5+3) please help
Answer:
3
because 15 + 9 = 24
and 3(5 + 3) which is 3 * 5 + 3 * 3 = 15 + 9 = 24
= 24 = 24
Step-by-step explanation:
Please mark me as the brainliest
George was building a staircase for his dog to get up on his bed. The first step is made from 2 boards, the second out of 4 boards, and the third out of 6 boards. There are 8 steps in the staircase. How many boards did George use to create the last step? A 10 B 12 C 16 D 24
Answer: C
Step-by-step explanation: I am a big brain pro.
3.
A gardenar wishes to plant 6096 plants in the form of a square and found that there
were 12 plants left. How many plants were planted in each row.
Answer: 78
Step-by-step explanation:
x² + 12 = 6096
x² = 6084
[tex]\sqrt{x^2}=\sqrt{6084}[/tex]
x = 78
Solve the right triangle. Side AB is 2.9, but I don't know how to find two missing angles with three sides and a 90-degree angle. Please explain your answer.
Angle A = 68 degrees
Angle B = 22 degrees
Side AB = 2.9 cm
The three values are approximate
=========================================================
Explanation:
a = BC = 2.7 and b = AC = 1.1 are the two legs of the right triangle.
Use the pythagorean theorem to find the length of the hypotenuse
a^2 + b^2 = c^2
2.7^2 + 1.1^2 = c^2
8.5 = c^2
c^2 = 8.5
c = sqrt(8.5)
c = 2.91547594742266
c = 2.9
The hypotenuse is c = AB = 2.9
--------------------
We then use trig ratios to find the two missing angles.
Let's say we ignore the hypotenuse and focus on the two legs of the triangle.
With respect to reference angle A, side BC is opposite and AC is adjacent
Use the tangent ratio to get
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = 2.7/1.1
tan(A) = 2.45454545454546
A = arctan(2.45454545454546)
A = 67.8336541779176
A = 68
Note: arctan is the same as inverse tangent or [tex]\tan^{-1}[/tex]. Make sure your calculator is in degree mode.
-------------------
Similarly,
tan(angle) = opposite/adjacent
tan(B) = AC/BC
tan(B) = 1.1/2.7
tan(B) = 0.4074074074074
B = arctan(0.4074074074074)
B = 22.166345822082
B = 22
Or you could use the value of A to get B = 90-A = 90-68 = 22. This works because A+B = 90 as we're working with a right triangle. In other words, A and B are complementary angles.
-------------------
In summary we found
A = 68
B = 22
AB = 2.9
Find the circumference of a circle whose diameter is 20 mm. *Plz explain your answer*
Answer:
The circumference is 62.8.
Step-by-step explanation:
Find the diameter (in this case, 20mm)Multiply the diameter by 3.14, or pi. (Pi can be a different number depending on the problem but 3.14 is the most used one)The product of the diameter multiplied by Pi is the circumference of the circle!Is 7.525225222....... rational or irrational ?
Answer:
It is irrational
Step-by-step explanation:
7.525225222....... is non terminating non reoccurring
Therefore it is irrational
help please urgent!!!! 10 points
Answer:
[See Below]
Step-by-step explanation:
✦ First you need to know the area of a triangle:
✧ ½ x b x h
✦ Now write you formula out:
✧ ½ x 5 x 4
✦ Now just solve:
✧ 5 x 4 = 20
✧ 20 / ½ = 10
So it'd be 10 m²
~Hope this helps Mate. If you need anything feel free to message me.
Which phrase matches the algebraic expression below? (1 point)
2(x + 7) + 10
a
Two times the sum of x and seven plus ten
b
Two times the difference of x and seven plus ten
с
Two times x minus seven plus ten
D
Two times x plus the sum of seven and ten
Answer:
2(x+7)+10
Step-by-step explanation:
The phrase that would best match the expression would be answer A.
Shelby purchases DVDs from a website. Each DVD costs $11, and the shipping and handling fees are $6.95. Shelby is charged a total of $50.95. How many DVDs did she purchase?
DVD cost , $11 .
Shipping and handling fees , $6.95 .
Total money charged , $50.95 .
Let , total money is T .
So,
[tex]11x+6.95=T[/tex] ( Here x is number of DVD )
[tex]11x+6.95=50.95\\\\11x=44\\\\x=4[/tex]
Therefore , total number of DVD purchased is 4 .
Hence , this is the required solution .
BC has one endpoint
B(3,2) and a midpoint
T(6,-2). Find the
coordinates of the
other endpoint, C.
Thank you in advance!!
Answer:
Step-by-step explanation:
(3 + x)/2 = 6
3 + x = 12
x = 9
(2 + y)/2 = -2
2 + y = -4
y = -6
(9, -6) the other endpoint C
(SAT Prep) In the given figure, C is the midpoint of AB and M is the midpoint of AC. Find the length of NB if MC = 4 and AN = 14. (A) 3 (B) 6 (C) 2 (D) 3.5
Answer:
C) 2
Step-by-step explanation:
I don't have an explanation, I just guessed.
Answer:
(C) 2
Step-by-step explanation:
We will need to make a Given, Statement, and Reason table to solve this problem.
Given: Statement: Reason:
AC=CB AC=2MC Part Whole Postulate
AM=CM AC=2x4=8 Substitution and Algebra
CM=4 AB=2AC Part Whole Postulate
AN=14 AB=2x8=16 Substitution and Algebra
Find: AB-AN=NB Part Whole Postulate
NB 16-14=2 Substitution and Algebra
NB=2
Hope this helps! :)
The equation 5 (3w - 4) = -3(3+ 2w) has
solution(s).
Answer:
w= 1.2
Step-by-step explanation:
chris is investing how long it takes his dog to react to different sounds. What is the independent variable?
Express 25 to the power of 4x as a power of 5 in terms of x
Step-by-step explanation:
25^(4x) = (25^4)^x = (5^8)^x = 5^(8x).
Convert 4,700,000,000 from standard form to scientific notation. 470 × 107 47 × 108 4.7 × 109 478
Answer:
4.7 * 10 ^9
Step-by-step explanation:
4,700,000,000
Scientific notation is of the form
a * 10 ^b where a is a number between 1 and less than 10
Move the decimal so that it is a number between 1 and less than 10
4,700,000,000 becomes 4.700000000 and we moved the decimal 9 places to the left b is +9 ( positive because we moved to the left) We can drop the extraneous zeros
4.7 * 10 ^9
What is?
10 = Z +6
and why is it?
Answer:
4
Step-by-step explanation:
10=z+6 <subtract six to each side
4=z
Answer:
4
Step-by-step explanation:
well you got 10 = Z+6 right.. so subract 6 from 10 what do you get, you get 4 so that is th reason Z is 4
Hope I answered ur question
What is the largest multiple of 17 which is less than 1000?
Which of the following has the value of 4
infinite sequences of arithmetic expressions can have a value of 4
Step-by-step explanation:
infinite sequences of arithmetic expressions can have a value of 4
I Really need help on this question if anybody can tell me what the answer is that would be nice I only have a few minutes :/
Answer:uuuu idk
Step-by-step explanation:
Answer:
B or the second answer
Step-by-step explanation:
If you change the denominator for all 4 fractions, then you will get that denominator. After that you will multiply how you got that denominator from the beggining denominator. And that’s how i did it.
Help me answer this, thank you
Answer:
4
Step-by-step explanation:
P={1,2,3,4,5,6}
Q={3,4,5,6,7,8,9}
PnQ={3,4,5,6}
Therefore, n(PnQ) =4
Write 0.36 Repeating as a fraction in simplest form
Answer:
The answer would be 4/11
if a number is negative, then its opposite will be:
Answer:
the opposite of a negative number is positive.
Step-by-step explanation:
Negative numbers are numbers that are less than 0. The opposite of a positive number is negative, and the opposite of a negative number is positive. Since the opposite of 0 is 0 (which is neither positive nor negative), then 0 = 0.
What is the solution to this linear system? Enter a value in each box to create an ordered pair.
Answer:
Solution of the system will be (-3, 6).
Step-by-step explanation:
If a system of linear equations have been given in the question then we can find the solution of the linear equations by solving these equation algebraically.
But when a graph of the system of equation have been given solution of the system is the point of intersections Or common points lying on both the lines.
From the given graph,
Coordinates of the common point of both the lines is (-3, 6).
Therefore, solution of the system will be (-3, 6).
Answer: (-3, 6)
Step-by-step explanation:
you can see where the lines met
Tara is 2 years older than Ryan. The sum of their
ages is greater than 58. Describe Ryan’s age.
Ryan = 28 years
Tara = 30 years
Ryan is over 28 years old.
Step-by-step explanation:T = R + 2
T + R = 58
Replace T
(R + 2) + R = 58
2R = 56
R = 56 : 2
R = 28 years
T = 30 years
Frankie bought a new computer. He made an initial payment of $50 to the store, and he will pay $30 each month until the computer is paid
off. Which equation represents the relationship between m, the number of
monthly payments Frankie has made, and t, the total amount
that Frankie has paid the store?
Answer:
t = 30m+50
Step-by-step explanation:
Answer:
T = 30m + 50
Step-by-step explanation:
lou thinks the expression 27x^3-64 factors to (3x-4) (9x^2+12x+16). is he correct? How can you check his work? Show all work to justify your thinking.
Answer:
Step-by-step explanation:
(a³ - b³) = (a - b) (a² + ab + b²)
27x³ - 64 = 3³x³ - 4³
= (3x)³ - 4³ {a = 3x & b= 4)
Substitute in the above formula.
= (3x -4)([3x]² + 3x*4 + 4²)
= (3x - 4)(9x² + 12x + 16)
The expression 27x^3-64 factors to (3x-4) (9x^2+12x+16).
10x + 2=32 solve for x
Answer:
X=3
Step-by-step explanation:
10x+2= 32
10x=32-2
10x=30
X=30÷10
X= 3
Answer:
x=3
Step-by-step explanation:
10x + 2 = 32
- 2 -2 (2's cancel each other out )
10x = 30 divide each side by 10 and 10s cancel out so all your left with x =3
[tex]x = 3[/tex]