Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the 8 expressions are not given.
The general explanation is as follows
As complex as an expression may seem, you have to simplify each expression until it cannot be further simplified.
Then you categorize each result, depending on if it equals [tex]5^{10}[/tex] or not
Take for instance:
[tex]5^5 * 5^5[/tex]
Using law of indices:
[tex]5^5 * 5^5 = 5^{5+5[/tex]
[tex]5^5 * 5^5 = 5^{10[/tex] ---- equivalent
[tex]\frac{5^5 + 5^5}{2 * 5^{-5}}[/tex]
Factorize the numerator
[tex]\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5(1 + 1)}{2 * 5^{-5}}[/tex]
[tex]\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5 * 2}{2 * 5^{-5}}[/tex]
Cancel out 2
[tex]\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5}{5^{-5}}[/tex]
Apply law of indices
[tex]\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{5--5}[/tex]
[tex]\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{5+5}[/tex]
[tex]\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{10[/tex] ---equivalent
[tex]125 * 78125[/tex]
Express as exponent
[tex]125 * 78125 = 5^3 * 5^7[/tex]
Apply law of indices
[tex]125 * 78125 = 5^{3+7[/tex]
[tex]125 * 78125 = 5^{10[/tex] ---- equivalent
[tex]5^3 + 5^7[/tex]
Solve exponents
[tex]5^3 + 5^7 = 125 + 78125[/tex]
[tex]5^3 + 5^7 = 78250[/tex] ---- not equivalent
What is the length of bc in the right triangle below?
Adam is refinishing his basement. 30 ft by 50 ft are the dimensions of Adam's rectangular basement. How much tile would he need to cover the floor? If the height of the basement is 6 ft, how much wall area is there to paint?
Answer:
Area of four walls is 3960 square feet.
Step-by-step explanation:
length, L = 30 ft
Width, W = 50 ft
height, H = 6 ft
The area of walls is
= 2 (L W + W H + H L)
= 2 (30 x 50 + 50 x 6 + 6 x 30)
= 2 (1500 + 300 + 180)
= 3960 square feet
Answer/Step-by-step explanation:
How much tile would he need to cover the floor?
Answer: 1500 Ft^2
If the height of the basement is 6 ft, how much wall area is there to paint?
Answer: 960 Ft^2
Which of the following is an equivalent trig ratio for tan 28
Cos 62
1/ tan 62
1/ tan152
Cos 28
Answer:
B
Step-by-step explanation:
tan28=tan (90-62)=cot 62=1/tan 62
The circumference of a circle is 8.34cm. Find the length of the diameter. Give your answer rounded to 2 DP.
Answer:
Diameter, D = 2.65 cm
Step-by-step explanation:
Given the following data;
Circumference of circle = 8.34 cm
To find the length of its diameter;
Mathematically, circumference of a circle is equal to;
C = πD
Where;
C is the circumference of a circle.D is the diameter of a circle.Pie, π = 3.142Substituting into the formula, we have;
8.34 = 3.142 * D
[tex] D = \frac {8.34}{3.142} [/tex]
Diameter, D = 2.65 cm
A function g is described below:
· g(2) = 2 ( 23 – 3) = 5
• domain is all real numbers greater than 0
The range of g is all real numbers greater than or equal to
Answer:
A≈1075.21
d Diameter
37
d
r
r
r
d
d
C
A
Using the formulas
A=
π
r
2
d=
2
r
Solving forA
A=
1
4
π
d
2
=
1
4
π
37
2
≈
1075.21009
Step-by-step explanation:
PLEASE HELPP MEEE ASAPPPPP
Answer:
D) 24,32,40
Step-by-step explanation:
Sense this is a right triangle, I will use the Pythagorean theorem to solve this problem. Use the following formula: a^2 + b^2 = c^2. 40 would be c. 40 x 40 = 1600. 32 x 32 = 1024. 24 x 24 = 576. Since 576 + 1,024 equals 1600, this means the answer would be D. Remember, that you can only use the Pythagorean Theorem method on right triangles.
1,600 = 576 + 1024.
Note:
Pls notify me if my answer is incorrect, for the other users that will see this message.
-kiniwih426
If f(x) = \XI + 9 and g(x) = -6, which describes the range of (f + g)(x)?
O (f + g)(x) > 3 for all values of x
O (f + g)(x) < 3 for all values of x
O (f + g)(x) < 6 for all values of x
O (f + g)(x) > 6 for all values of x
Answer:
the first option
Step-by-step explanation:
well, 9 +(-6) = 3
so the equations last part is changed, but the rest stays the same
The range of (f + g)(x) is (f + g)(x) > 3 for all values of x.
What is a function?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Gives are two function, f(x) = |XI + 9 and g(x) = -6, we need to find the range of (f + g)(x),
f(x)=|x|+9 and g(x)= -6
Taking the sum of the functions:
f(x) + g(x) = |x|+9 + (-6)
f(x) + g(x) = |x|+9 - 6
f(x) + g(x) = |x|+3
Due to the modulus of x which is positive,
Hence (f + g)(x) is greater to 3 for all values of x
Learn more about functions, click;
https://brainly.com/question/12431044
#SPJ7
put the following equation of a line into slope intercept form simplifying all fractions 10x-2y=6
Answer:
Slope-Intercept form: y = m x + b
y = value of y corresponding to value of x
2 y = 10 x - 6
y = 5 x - 3 equation of line where m is the slope and -3 value of y when x
equals zero
The volume of this cone is 83.7 cubic meters. Find the DIAMETER. SHOW ALL WORK
There for the diameter is 2(4.8 )= 9.6 ft
Given: Volume of the cone is 83.7 m³
We know that:
[tex]\bigstar \ \ \boxed{\sf{\textsf{Volume of cone is given by} : \dfrac{\pi r^2h}{3}}}[/tex]
where r is the radius of the cone and h is the height of the cone
Given: Height of the cone = 5m
Substituting the values in the formula, we get:
[tex]\sf{\implies \dfrac{\pi r^2(5)}{3} = 83.7}[/tex]
[tex]\sf{\implies \pi r^2 = 83.7 \times \dfrac{3}{5}}[/tex]
[tex]\sf{\implies \pi r^2 = 83.7 \times 0.6}[/tex]
[tex]\sf{\implies \pi r^2 = 50.22}[/tex]
[tex]\sf{\implies r^2 = \dfrac{50.22}{\pi}}[/tex]
[tex]\sf{\implies r^2 = 16}[/tex]
[tex]\sf{\implies r = 4}[/tex]
We know that : Diameter is two times the radius
⇒ Diameter of the Cone is 8 meters
Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π
Answer:
volume of a cone formula = V=πr²h/
3
V=3.14(5)²3/3
V≈78.54
solve the inequality 2-x<7
Answer:
x>-5
Step-by-step explanation:
2-x<7
Subtract 2 from each side
2-x-2<7-2
-x<5
Multiply each side by -1, remembering to flip the inequality
x>-5
Pls help right now for 30 points
Use the edges of the triangles to determine which ones are closest together for the smallest of furthest apart for the largest.
1. Smallest = b
Largest = c
2. Smallest = f
Largest = g
Can someone please help me with this I’m stuck on it
Answer:
B and C. if you got them wrong let me know :3
Darius has a 6 month loan for $500. He must pay 5.6% annual interest on the loan. Using the formula for simple interest, I=Prt, where I is interest owed, P is the amount borrowed, r is the rate as a decimal, and t is time in years, find the amount of interest owed by Darius after 6 months
A. $16.80
B. $140
C. $168
D. $14
Answer:
14
Step-by-step explanation:
BRAINLIEST IF CORRECT You choose a movie at random from a list containing 8 comedy movies, 5 science fiction movies, and 7 adventure movies. What is the theoretical probability that the movie is not a comedy?
Select all that apply.
0.60
50%
252 fifths
353 fifths
60%
Answer:
0.60 & 60%
Step-by-step explanation:
Plzz help ill make u brainliest
Matt and Mindy each built a rectangular prism that has a length of 5 units, a width of 2 units, and a height of 4 units. Matt used cubes that are 1 cm on each side. Mindy used cubes that are 1 in on each side. What is the volume of each prism?
Answer:
Matt’s: 40 cm = 15.748 inches
Mindy’s: 40 in = 101.6 centimeters
Answer:
The volume is 40 cubed inches
Step-by-step explanation:
The prism that Matt built is 5 cm by 2 cm by 4 cm
5 ⋅ 2 ⋅ 4 = 40
The volume is 40 cubed centimeters
The prism that Mindy built is 5 in by 2 in by 4 in
5 ⋅ 2 ⋅ 4 = 40
The volume is 40 cubed inches
If the equation y=-5x+12 is translated up five units, what would the new equation be?
Answer:
y=-5x+17
Step-by-step explanation:
Answer:
[see below]
Step-by-step explanation:
We would add '5' to the y-intercept (12) to make a translation up 5 units.
y = -5x + 12 + 5
y = -5x + 17
Hope this helps.
the dishes have been cleaned by us into active voice
Answer:
the dishes sparkled after we washed them.
Step-by-step explanation:
Sophia drops her pencil in a cup and
notices that it only fits diagonally.
The pencil is 10 centimeters long and the
cup is 8 centimeters tall.
What is the diameter of the cup?
Answer:
5cm
Step-by-step explanation:
Since the pencil would only fit diagonally, the diameter would have to be half its length. The pencil is 10 centimeters long and 5 centimeters would be half of it.
Note:
Pls notify me if my answer is incorrect for the other users that will see this message. Thank you.
-kiniwih426
Taxi A charges a fee of $3.50, plus $1.75 per mile. Taxi B charges a few of $1.25, plus $2.00 per mile. At what distance would the taxi cost the same?
( 17 points)Help!!!
These tables of values represent continuous functions. For which function will the y-values be the greatest for very large values of x?
PlzzPlease help me bunnies <3
No monkey business plz. Or I will report
It's C.
The value is increasing threefold relative to the previous step.
all other function values increase by a fixed amount and are therefore linear
Need help ASAP DUE AOLN AND PLEASE SHOW WORK ?!!!
Answer: 35.98in
Step-by-step explanation:
Use the formula: h=3 v/pi(r^2)
Answer:
V = 36.0 in
Step-by-step explanation:
V of cylinder = (1/3)πr^2(h)
V of cylinder = 3052 cubic inches
r = 9 in
3052 = (1/3)π(9)^2(h)
3052 = (1/3)π(81)h
3052 = 84.82300165h
divide both sides by coefficient of h
h = 36.0 in (rounded to nearest tenth)
Evaluate the expression 4q(q + 3w)^2 when q = 2 and w = 3
Answer:
512
Step-by-step explanation:
when q = 2, w = 3
4q(q + 3w)^2
= 4(2) ((2)+3(3))^2
= 512
Câu 4: Cho chiết suất tuyệt đối của nước là n= 4/3 . Một người nhìn một hòn sỏi nhỏ S nằm ở đáy một bể nước sâu 1,2 m theo phương gần vuông góc với mặt nước, thấy ảnh S' nằm cách mặt nước một khoảng bằng
goodStep-by-step explanation:
please help me (: ALgebra 2!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]\frac{3x+1}{x}, x\neq -1[/tex]
Step-by-step explanation:
We can start by combining the fractions in the numerator. We can multiply them by x/x and x + 1/x + 1 respectively to get a common denominator of x(x + 1).
[tex]\frac{4}{x+1}*\frac{x}{x} +\frac{2}{x} *\frac{x+1}{x+1}\\\\\frac{4x}{x(x+1)}+\frac{2x+2}{x(x+1)}\\\\\frac{6x+2}{x(x+1)}[/tex]
Now we can rewrite an simplify:
[tex]\frac{\frac{6x+2}{x(x+1)} }{\frac{2}{x+1} }\\\\\\\frac{6x+2}{x(x+1)}*\frac{x+1}{2} \\\\\frac{3x+1}{x}[/tex]
The domain would be x ≠ -1 because the starting domain is [tex]x\neq -1; x\neq 0[/tex] and it changed to [tex]x\neq 0[/tex], so for the two fractions to be equal, the domain would be [tex]x\neq -1[/tex].
Find the mean, median, mode, range.
Answer:
1. mean: 5
2. median: 6
3. mode: 80% or 8
4. range: 7
Step-by-step explanation:
Answer:
mean = 5
median = 6
mode = 80%(aka 8)
range = 7
Step-by-step explanation:
Select the postulate or theorem that you can use to conclude that the triangles are similar.
SAS Similarity Theorem
ASA Similarity Postulate
AA Similarity Postulate
SSS Similarity Theorem
Answer:
asa similarity postulate
Pls help me with this
Answer:
5.85
Step-by-step explanation:
100%-> 6.50
100%-10% = 90 %
90%-> 6.50/100 x 90
=5.85
The perimeter of a rectangular painting is 344 centimeters. If the width of the painting is 79 centimeters, what is its width?
Answer:
the equation is 2(l+w) so we do 2(93+w)=344 getting the answer of 79
Step-by-step explanation:
i think im 100 percent correct i took the test on flvs if I'm wrong just let me know
you stand 25m from the base of a tree and the angle of elevation from the ground to the top of the tree is 48 degrees. How tall is the tree?
Answer:
The tree is about 27.77 meters tall
Step-by-step explanation:
I attached a helpful sheet that explains all my work visually.
