Step-by-step explanation:
Our expression;
[tex]\frac{4^5\times4^7}{4^-2}[/tex]
Notes;
When exponents multiply, they add.
When exponents divide, they subtract.
Multiply;
[tex]\frac{4^5\times4^7}{4^{-2}}=\frac{4^{-2}}{4^{-2}}[/tex]
Divide;
[tex]\boxed{\frac{4^{-2}}{4^{-2}}=4^0=1}[/tex]
Facts to review:
[tex]\bullet \ \tex\text{Tip 1: If there is a "multiplication" sign, then the exponents will add.} \\\\ \bullet \ \tex\text{Tip 2: If there is a "division" sign, then the exponents will subtract.}\\\\ \bullet \ \ \tex\text{Tip 3: If a number, exponent, fraction, etc. is divided by itself, the result is 1.}[/tex]
Step- by step calculations:
[tex]\bullet\rightarrow (4^{5} \times 4^{-7} ) \div 4^{-2} \\\\ \bullet\rightarrow (4^{5 +(- 7)} ) \div 4^{-2} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\tex\text{Tip 1}]\\\\ \bullet\rightarrow (4^{-2} ) \div 4^{-2}\\\\ \bullet\rightarrow \boxed{\bold{1}} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\tex\text{Tip 3}][/tex]
The solution for the given expression is 1.
help me pls!!! ASAPPPP this assignment is missing and I'm not even halfway through...
Answer:
5y + 25
Step-by-step explanation:
You simply multiple everything inside by the outside
y x 5
5 x 5
giving you 5y + 25
28+56t+28w to identify the equivalent expressions.
Choose 2 answers:
Answer:
28(1 + 2t + w)
Step-by-step explanation:
This polynomial can be factored by factoring out 28.
28 + 56t + 28w = 28(1 + 2t + w)
help me) 2y+x+3x-y
Simplify this expression by combining like terms
Solve
6÷2(1+2)
Please tell me the answer
Answer:
9
Step-by-step explanation:
Follow the order of operations:
ParenthesesExponentMultiplication and DivisionAddition and SubtractionGiven expression: 6 ÷ 2(1 + 2)
Carry out the operation inside the parentheses first:
⇒ 6 ÷ 2(3)
⇒ 6 ÷ 2 × 3
Now multiply/divide by going left to right:
⇒ 3 × 3 = 9
Solution:
To solve this problem, we will need to use the "BODMAS".
Solving the expression:
[tex]\bullet \ \ 6 \div 2(1 + 2)[/tex]
First, simplify the expression inside the brackets.
[tex]\bullet \rightarrow 6 \div 2(3) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\ex\text{Bracket addition}][/tex]
Now, 2(3) can also be written as 2 × 3, as 2(3) and 2 × 3 are equivalent.
[tex]\bullet \rightarrow 6 \div 2 \times 3[/tex]
According to the BODMAS, division first.
[tex]\bullet \rightarrow 3 \times 3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\ex\text{Division}][/tex]
According to the BODMAS, multiplication next.
[tex]\bullet \rightarrow \boxed{\bold{9}} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\tex\text{Multiplication}][/tex]
Thus, the solution to 6 ÷ 2(1 + 2) is 9.
HELP PLEASE!!!! WHO WANTS BRAINLEST!!b
Answer:
3/13
Step-by-step explanation:
number of balloons that are green AND shaped like a dog (3) over the TOTAL number of balloons (13)
I really need help with this or i'll get and F
Answer:
21 centimeters
Step-by-step explanation:
40 millimeters is 4 centimeters and 25-4 is 21.
Side Note: I used to have to do math iready but im in algebra now so not anymore.
Answer:
the answer is 15
Step-by-step explanation
Find an equation for the line that passes through the points (-5, -5) and (3, 5)
Answer:
5x-4y+5=0.
Step-by-step explanation:
1) if the point A(-5;-5) and B(3;5), the formula is:
[tex]\frac{x-X_A}{X_B-X_A} =\frac{y-Y_A}{Y_B-Y_A}[/tex]
2) according to the formula above:
[tex]\frac{x+5}{3+5} =\frac{y+5}{5+5}; \ = > \ \frac{x+5}{4}=\frac{y+5}{5};[/tex]
or 5x-4y+5=0.
The arc length of arc DF measures 30 m. What is the area of the circle?
Answer:
Step-by-step explanation:
Givens
arc length DF = 30
pi = 3.14
Comment
The problem is that it looks to me like you have marked DF = 30. That's not what is given. What you are given is a part of the circumference is equal to 30.
Solution
The formula you should be using 100/360 * 2 * pi * r You should be solving for r.
30 = 100/360 * 2 * pi * r Multiply both sides by 360
30*360 = 100 * 2 * pi * r Combine left and right
10800 = 200* 3.14 * r
10800 = 628 * r Switch Divide both sides by 628
628 * r/ 628 = 10800 / 628
r = 17.197
Answer
Area of the circle = pi*r^2
Area of the circle = 3.14 * 17.197^2
Area of the circle = 928.66 m^2
Paisley has a bag of 16 marbles that are green, orange, and yellow. If there are 8 green marbles, how many marbles have to yellow in order for P(yellow) = 1⁄4?
Answer:
4
Step-by-step explanation:
16 marbles take away 8 green ones which is equivalent to ½, u will have 8 marbles left or ½, so to get ¼ youll have to halve 8 to get 4.
What is the solution to the equation:
x^3=64
PLS EXPLAIN 4 BRAINLIEST
Answer:
x = 4
Step-by-step explanation:
In this equation, x is being cubed to equal 64. When x is being cubed, it means that x is multiplied by itself 3 times to get 64. Thus, we have to find which number to the power of three = 64.
1^3 = 1 x 1 x 1 = 12^3 = 2 x 2 x 2 = 83^3 = 3 x 3 x 3 = 274^3 = 4 x 4 x 4 = 64Therefore, x = 4.
Equation: 3√64 = x
In case you needed it
This so happens to be a perfect cube
Cube = A number raised to the power of 3
1 x 1 x 1 = 1
2 x 2 x 2 = 8
3 x 3 x 3 = 27
4 x 4 x 4 = 64
So therefore, x = 4
Hope this helped you!
⚠️PLEASE ANSWER ASAP⚠️
Justin spent a total of $15 ice skating. He rented ice skates for $4.50 and skated for 3 hours. Write an equation to determine the cost per hour, h, to ice skate.
Answer:
3h+4.50=15
We know that she skates for 3 hours, but we don't know the cost per hour so is the "h". He pays a start up $4.50 for the ice skates. And he spend $15 in total for ice skating.
Hopefully that helps. Have a great night! Or day!
Au cours d'une année, le prix de l'essence à la pompe augmente de 4% puis de 6% et enfin baissé de 10%. Quel est le taux d'évolution du prix de l'essence cette année?
Answer:
[tex] \\black{ \rule{1pt}{900000pt}} \
[/tex][tex]
Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
?
?
17 yd
11 yd
9 yd
(4 yd
15 yd
Answer:
The missing length would be 6
Step-by-step explanation:
if 7 is mean of 10,3,4,a,6,9,10. Find the value of a
Answer:
Step-by-step explanation:
Mean=((4+10+3+6+9+10+a)/7)=7
=>42+a=49
=>a=7Mean=((4+10+3+6+9+10+a)/7)=7
=>42+a=49
=>a=7
Answer:
a = 7
Step-by-step explanation:
Given:
7 is mean of 10,3,4,a,6,9,10
To Find:
Value of a
Solve:
Mean → [tex]\frac{(4+10+3+6+9+10+a)}{7}=7[/tex]
⇒ 42+a=49
Subtract 42 from both sides
x + 42 - 42 = 49 - 42
Simplify
⇒ a=7
~Learn with Lenvy~
I'm suck on this question can anyone help me
with it Jina has ridden 18 miles of a bike course. The course is 60 miles long. What percentage of the course has Jina ridden so far?
Answer:
30%
Step-by-step explanation:
percentage of the course she has ridden = 18/60 ×100
=0.3×100=30 %
Bianca took out a $2,600 unsubsidized Stafford loan. She will be attending school for four years, and she wishes to have the loan paid off five years before its normal ten-year duration is finished. The loan has an interest rate of 6. 2%, compounded monthly. How much will she have to pay monthly to avoid interest capitalization? a. $12. 40 b. $19. 29 c. $13. 43 d. $17. 36 Please select the best answer from the choices provided A B C D.
Answer:
c. $13. 43
Step-by-step explanation:
Here's the simple interest formula: Interest = P x R x N. P = Principal amount (the beginning balance). R = Interest rate (usually per year, expressed as a decimal). N = Number of time periods (generally one-year time periods).
Please help me soon as possible !!!!!!!!!!
How many cameras will be necessary to cover the entire store? 6 9 12 18
There are 18 cameras that will be necessary to cover the entire store, the correct option is D.
What is the unitary method?A unitary method is a method by which we can find the value of one unit from the value of many units and the value of many units from the value of one unit.
Given
Marina wants to install security cameras in her store, which has dimensions 48 feet by 48 feet.
Each camera can view an area of approximately 128 ft2, with a viewing area shaped like a right triangle.
The distance between grid lines is 4 feet.
From the information given, the area of the store roof will be:
= 48 × 48 = 2304 ft²
The area viewed by the camera = 112.5ft²
The number of cameras that will be necessary to cover the entire store is;
[tex]= \dfrac{2304}{128}\\\\= 18[/tex]
Hence, there are 18 cameras that will be necessary to cover the entire store.
To know more about the unitary method click the link given below.
https://brainly.com/question/9337121
Answer:
There are 18 cameras that will be necessary to cover the entire store. .aka D
Step-by-step explanation:
Edge2023
50 POINTS (8th Grade Math)
Two basic math problems, answer correctly.
Trolling is not tolerated and will result to a report!
Correct answers only!
Answer: 1st; (-5, 1)
2nd;(-3, 1)
I’m pretty sure this is it, I’ve done questions like this for a while now, I think I got it right, sorry if I didn’t I tried my best.
Find the common factor of the polynomials 5x3+40x2+80x,x4-256
Answer:
(x + 4)
Step-by-step explanation:
5x³ + 40x² + 80x, x^4 - 256
5x ( x² + 8x + 16)
5x (x + 4) (x + 4)
x^4 - 256
a² - b² = (a + b) (a - b)
x² - 4² = (x + 4) (x - 4)
(x² + 16) (x + 4) (x - 4)
I hope this helps!
Please help + show work
Answer:
8.4
Step-by-step explanation:
42/5 = 8.4
Each value is multiplied by 8.4.
Have an amazing day!
PLEASE RATE!
Liquid A has a density of 1.42 g/cm³
7 cm³ of liquid A is mixed with 125 cm of liquid B to make liquid C.
Liquid C has a density of 1.05 g/cm³.
Find the density of liquid B.
Give your answer correct to 2 decimal places.
Step-by-step explanation:
if I understand correctly, then we are mixing 7 cm³ of liquid A with 125 cm³ of liquid B to a liquid C.
A has a density of 1.42 g/cm³.
B has a density of x g/cm³.
the resulting C has a density of 1.05 g/cm³.
the first thing we see is the quantity of C :
C = A + B = 7 + 125 = 132 cm³
what "comes in" must also "come out" again.
there is no mentioning of a chemical reaction, that might cause a change of volume or mass of the mixture.
so, the whole is exactly the sum of its ingredients.
now about mass and density :
as also the mass (g) of the resulting C must be the same as the sum of the masses of A and B, we multiply the density by the quantity of every liquid to get the mass (g). and that is how we get then the missing density of B :
7×1.42 + 125x = 1.05×(7+125)
9.94 + 125x = 1.05×132 = 138.6
125x = 128.66
x = 1.02928 ≈ 1.03 g/cm³
Select the correct answer from each drop-down menu.
A mother tracks the duration of her baby's two daily naps for a few weeks. The mean time and variance, in minutes, for each nap are recorded in
the table. On average the baby takes a longer nap for the (second nap/first nap) the length of the baby’s nap varies more in the (second nap/first nap)
Answer:
second nap,second nap
Step-by-step explanation:
just took it on plato and got 100%
9) y + 3 = -(x + 5)
5
A) x + y = 5
C) x - y = 5
B) 2x + 5y = 0
D) 8x – 5 y=-25
Answer:
y+3=-(x+5)5
y+3=-5x-25
y+3+5x+25=0
y+5x+28=0
How many times greater is the value of 3 in 300 than the value of the 3 in 30
Answer:
ten times I hope I'm right
Step-by-step explanation:
3 × 100 = 300
3 × 10 = 30
sense 3 is what is being talked about, 3 in the 300 is 100 times and 3 in 30 is 10 times.
100 is 10 times 10
10 × 10 = 100
value is the total
how many times greater is the total of the 3 in both numbers
3 in 300 is 10 times the 3 in 30
hope this helps
YALL PLEASE HELP ME
IDC ABOUT THE POINTS
Which ratio shows all circles are similar
Radius:area
Diameter: circumference
Area; circumference radius
Diameter:
Answer:
Diameter: Circumference
Step-by-step explanation:
Because this is Pi, which is the same for any circle.
5. A chef prepared 48,462 plates of shrimp. There were 96 shrimp on each plate. How many
shrimp did the chef prepare?
Answer:
4,652,352
Step-by-step explanation:
Plates of shrimp prepared = 48,462
No. of shrimps in each plate = 96
No. of shrimps in total = 48,462 x 96
= 4,652,352
Find the area of the irregular figure.
5 in.
4 in.
12 in.
A = [? ]in.2
5 in.
7 in.
11 in.
Answer:
155
Step-by-step explanation:
slope- intercept form: y= -4/3x + 2
what is the standard form?
Answer:
4x-3y=-6
Step-by-step explanation:
A city's population is currently 467,500. If the population doubles every 42 years, what will the population be 168 years from now?
If the population doubles every 42 years then the population will be after 168 years from now, 7,498,000
What are exponential functions?An exponential function is a mathematical function which we write as a
f(x) = aˣ, where a is constant and x is variable term. The most commonly used exponential function is eˣ , where e is constant having value 2.7182
We can use exponential growth:
If the population doubles every 42 years, the population after t years can be modeled as:
P = 467,500 x 2^(t/42)
where P is the population after t years and 467,500 is the current population.
To find the population 168 years from now, we can plug in t = 168:
P = 467,500 x 2^(168/42)
= 467,500 x 2⁴
= 467,500 x 16
= 7,498,000
So, the population of the city 168 years from now is approximately 7,498,000.
To know more about exponential function check:
https://brainly.com/question/15352175
#SPJ5