Simplify this expression.
[tex]\frac{4^{9} }{4^{3} }[/tex]
9x9x9x9divide by 4x4x4
Answer:
4⁹ / 4³ = 4⁶ = 4096
Step-by-step explanation:
You can solve this by realising that exponents (the 9 and the 3 in this case), simply tell you how many times to multiply the numbers together.
What you're see there then can also be expressed as:
[tex]\frac{4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4 \times 4}{4 \times 4 \times 4}[/tex]
Because the numerator and denominator are all multiples of the same number repeatedly, you can simply eliminate the bottom three fours from the top and bottom, giving you:
[tex]\frac{4 \times 4 \times 4 \times 4 \times 4 \times 4 \times (4 \times 4 \times 4)}{(4 \times 4 \times 4)}\\\\= 4 \times 4 \times 4 \times 4 \times 4 \times 4[/tex]
[tex]4 \times 4 \times 4 \times 4 \times 4 \times 4[/tex]
A simpler way to look at it is to understand that when the same number is being raised to different bases, and then multiplied or divided, you can simply add or subtract the exponents. For example, speaking very generically:
[tex]x^a \times x^b = x^{a + b}[/tex]
and
[tex]x^a \div x^b = x^{a - b}[/tex]
In this case then, we can simply say:
[tex]\frac{4^9}{4^3} = 4^{9 - 3} = 4^6[/tex]
So when simplified, the expression is equal to 4⁶, or 4096.
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene's car had 6.2 gallons in the 15-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.50 per gallon. How much did Irene spend on gas?
Answer:
She spend $21,70 on gas
Step-by-step explanation:
6.350=2100
$21,00 for 6 gallons
350:10=35
0,35
035.2=070
0,70
2100+70=2170
Type the expression that results from the following series of steps:
Start with G, add X, then divide by A
Step-by-step explanation:
Start with G => G
Add X => G + X
Divide by A => (G + X)/A
Hebce the expression is (G + X)/A.
Answer:
g
, divide by 7, then add 3.
Step-by-step explanation:
Which of the following terms correctly describe the object below?
Check all that apply.
Change 8 a.m. to 24 hour clock time.
Use a colon : to separate hours and minutes
Answer:
08:00
Step-by-step explanation:
Answer:
8:00
Step-by-step explanation:
12/midnight would be 00:00 so 8am would be 8:00. if it were 8pm it would be 20:00
John has $40. He will use some of the money to buy books, and he wants to have at least $10 left to put in his savings account. Each book costs $6. a. Write an inequality to represent this story, using b to represent the number of books John buys. b. Solve the inequality, showing each step of your work. c. In complete sentences, explain what the solution means in the context of the story.
Answer:
3231
Step-by-step explanation:
The answer is in the 3,000 area i messed up to get the exact amount
can someone give me answers pls asap
Answer:
answers are:
1) 1.75
2) 1.25
Which model represents 2.36 divided by 4?
Answer:
[tex] = \frac{2.36}{4} \\ = \frac{59}{100} \\ = 0.59[/tex]
find the slope. thank
Step-by-step explanation:
7. The two coordinates are (0, 4) and (1, -4).
To find the slope you would need to use the formula [tex]\frac{y_{2}- y_{1} }{x_{2}- x_{1} }[/tex]
[tex]y_{2}[/tex] = (-4), [tex]y_{1}[/tex] = 4
[tex]x_{2}[/tex] = 1, [tex]x_{1}[/tex] = 0
[tex]\frac{(-4)-4}{1-0}[/tex] = [tex]\frac{-8}{1}[/tex] = -8
8. The coordinates, (1, 4) and (0, -2)
(-2) -4 / 0 -1 = -6 / -1 = 6
Sorry for not formatting 8
9. The coordinates (-1, 3) and (4, -1)
(-1) - 3/ 4 - (-1) = -4/ 5
10. The coordinates (1, -1) and (2, -2)
(-2)- (-1) / 2 -1 = -1 / 1 = -1
Hope this helps!!!
Identify whether the following items best fit with a discrete or a continuous model. Then determine whether it is a linear (arithmetic) or exponential (geometric) relationship that is being described. Finally, write the function that represents the situation.
One square inch is infected by bacteria. For every hour that passes the amount of area infected by the bacteria doubles.
Answer:
it will be a continuous model
Step-by-step explanation:
weekend weekend assume every amount of area infected by the bed period doubles as hour passes
Can somebody help me please.
Answer:
The correct answer is the last one: 8 x 16 = ?
Step-by-step explanation:
hope this helps. pls mark this as brainiest if im correct! Thx have a great day... :)
Solve. Round to the nearest tenth.
6
2-12
19
2x-2
HELP ASAP!!
Answer:
[tex]\displaystyle x = \frac{216}{7}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{6}{19} = \frac{x - 12}{2x - 2}[/tex]
Step 2: Solve for x
Cross-multiply: [tex]\displaystyle 6(2x - 2) = 19(x - 12)[/tex]Distribute: [tex]\displaystyle 12x - 12 = 19x - 228[/tex]Isolate x terms: [tex]\displaystyle -12 = 7x - 228[/tex]Isolate x term: [tex]\displaystyle 216 = 7x[/tex]Isolate x: [tex]\displaystyle \frac{216}{7} = x[/tex]Rewrite: [tex]\displaystyle x = \frac{216}{7}[/tex]Answer:
[tex] \frac{6}{19} = \frac{x - 12}{2x - 2} \\ 6(2x - 2) = 19(x - 12) \\ 12x - 12 = 19x - 228 \\ 7x = 216 \\ \boxed{x = 30.857}[/tex]
30.857 is the right answer.The following data is from a simple random sample of 12 students GPAs. 3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77 Develop a point estimate of the population mean.
Answer: 3. 2
Step-by-step explanation:
Given the data:
3.12 2.45 4.0 3.76 3.54 2.78 3.39 3.21 1.98 3.43 3.98 2.77
Point estimate of population mean :
Σx / N
(3.12 + 2.45 + 4.0 + 3.76+ 3.54 + 2.78 + 3.39 + 3.21 + 1.98 + 3.43 + 3.98 + 2.77)
= 38.41 / 12
= 3.2008
In the month of Nov Pharoah company inc wrote checks in the amount of$10310. In dec checks in the amount of $ 11785 were written. In Nov $8580 of these checks were presented to the bank for payment, and $10770 in dec
What is the amount of outstanding checks at the end of Nov and at the end of Dec.
Answer:
the amount of outstanding checks at the end of Nov and at the end of Dec is $1,730 and $1,015 respectively
Step-by-step explanation:
The computation of the amount of outstanding checks at the closing of Nov and dec is as follows
Particulars November December
Written checks $10,310 $11,785
Less:
Presented checks -$8,580 -$10,770
Outsanding checks $1,730 $1,015
Hence, the amount of outstanding checks at the end of Nov and at the end of Dec is $1,730 and $1,015 respectively
please help me i need help i'll help you if you help me !
i will mark you as brill
Answer:
See Explanation
Step-by-step explanation:
Required
Write three equivalent ratios
To solve these questions, we do the following:
Whatever is being applied to a part of the ratio must be done on the other part
Solving (9):
[tex]Ratio = \frac{2}{7}[/tex]
Multiply through by 2
[tex]Ratio = \frac{2*2}{7*2} = \frac{4}{14}[/tex]
Multiply through by 3
[tex]Ratio = \frac{2*3}{7*3} = \frac{6}{21}[/tex]
Multiply through by 5
[tex]Ratio = \frac{2*5}{7*5} = \frac{10}{35}[/tex]
Hence, the equivalents are: [tex]\frac{4}{14}, \frac{6}{21}, \frac{10}{35}[/tex]
Solving (10):
Ratio = 1.5 to 3.5
Multiply by 2
[tex]Ratio = 1.5 * 2\ to\ 3.5 * 2[/tex]
[tex]Ratio = 3\ to\ 7[/tex]
Multiply by 3
[tex]Ratio = 1.5 * 3\ to\ 3.5 * 3[/tex]
[tex]Ratio = 4.5\ to\ 10.5[/tex]
Multiply by 4
[tex]Ratio = 1.5 * 4\ to\ 3.5 * 4[/tex]
[tex]Ratio = 6\ to\ 14[/tex]
Hence, the equivalents are: 3 to 7, 4.5 to 10.5 and 6 to 14
Solving (11):
Ratio = 6.25 to 1.25
Divide by 5
[tex]Ratio = 6.25/5\ to\ 1.25/5[/tex]
[tex]Ratio = 1.25\ to\ 0.25[/tex]
Multiply by 2
[tex]Ratio = 6.25*2\ to\ 1.25*2[/tex]
[tex]Ratio = 12.5\ to\ 2.5[/tex]
Multiply by 4
[tex]Ratio = 6.25*4\ to\ 1.25*4[/tex]
[tex]Ratio = 25\ to\ 5[/tex]
Hence, the equivalents are: 1.25 to 0.25, 12.5 to 2.5 and 25 to 5
Solving (12):
[tex]Ratio = 3 : 3\frac{1}{2}[/tex]
Multiply by 2
[tex]Ratio = 3 *2: 3\frac{1}{2}*2[/tex]
[tex]Ratio = 6: 7[/tex]
Multiply by 4
[tex]Ratio = 3 *4: 3\frac{1}{2}*4[/tex]
[tex]Ratio = 12: 14[/tex]
Multiply by 6
[tex]Ratio = 3 *6: 3\frac{1}{2}*6[/tex]
[tex]Ratio = 18: 21[/tex]
Hence, the equivalents are: 6:7, 12:14 and 18:21
Solving (13)
[tex]Ratio = 1\frac{2}{3} : \frac{5}{4}[/tex]
Convert mixed fraction to improper fraction
[tex]Ratio = \frac{5}{3} : \frac{5}{4}[/tex]
Multiply by 2
[tex]Ratio = \frac{5}{3}*2 : \frac{5}{4}*2[/tex]
[tex]Ratio = \frac{10}{3} : \frac{5}{2}[/tex]
Multiply by 3
[tex]Ratio = \frac{5}{3}*3 : \frac{5}{4}*3[/tex]
[tex]Ratio = 5 : \frac{15}{4}[/tex]
Multiply by 12
[tex]Ratio = \frac{5}{3}*12 : \frac{5}{4}*12[/tex]
[tex]Ratio = 20 : 15[/tex]
Hence, the equivalents are: 10/3:5/2, 5 : 15/4, and 20:15
Simplify the expression 8+4b+3b+6
Answer:
14+7b
Step-by-step explanation:
8+6=14
4b+3b=7b
Answer:
14 +7b
Step-by-step explanation:
Combine like terms. Like terms have same variables
8 + 4b + 3b + 6 = 8 + 6 + 4b + 3b
= 14 + 7b
3 (x-2)
4x + 8
3x
What’s the expression for the perimeter of the figures shown? (I NEED HELP ASAP)
Answer:
1.3x -6 => 3x = 6 => x = 2
2.4x = -8 => x= -2
3.3x => if 3x = 0 ..x is> 0 too
but if 3x= 1 ..x is 1/3
i h○pe it helps u ...:)
2) If the bill is $100 and the tax rate is 10%, then the sales tax is how much
money?
$ 20.00
$ 25.00
$ 10.00
$ 5.00
3) If the bill is $45.12 and the tax rate is 13%, then the sales tax is how much I point
money?
Answer:
it's $25.00
Step-by-step explanation:
Simplify.
8m+4n+7m−2n
17mn
m + 2n
15m + 2n
15m + 6n
Answer:
use math(way)
Step-by-step explanation:
Which is the best estimate of 162% of 79? O 112 O 119 O 128 O 136
Answer:
128
Step-by-step explanation:
You would multiply 79 by 1.62 to get the answer.
This would give you 127.98 which you would round up to 128.
Answer:
128
Step-by-step explanation:
River otters drink about 5 times as much water as a bald eagle drinks in a day.
How much water can a river otter drink in three days?
Water Consumption
Animal Average Amount
(Liters per day)
Canada Goose 0.24
Cat 0.15
Mink 0.10
Opossum 0.30
Bald Eagle 0.16
A river otter drinks liters in three days.
Answer:
80
Step-by-step explanation:
You have to multiply .16 times 5, and that gets your answer, 80!
Another way to find slope is with the slope formula (y2-y1/x2-x1 find the slope of (3,2) (7,4)
Answer: 2/4=1/2
Step-by-step explanation: 4-2=2. 7-3=4
Answer:
1/2
Step-by-step explanation:
4-2=2
7-3=4
2/4
Please answer asap!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=60
Step-by-step explanation:
right angle is 90 degrees +30 degrees equals 120 so 180-120 gives you 60 degrees
8x+7.5=3.5 What's the value of x? Please show your work. :)
Answer:
x = 0.5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form: x = -1/2
4+4=?
help I don't know
Answer:
The answer is 8.
Step-by-step explanation:
thank you for the points :)
3+3=?
help I don't know
Answer:
its 7
Step-by-step explanation:
Answer:
if i remember correctly i think its carrot
Step-by-step explanation:
:P
What is the (fg)(x) if
f(x)=(4x - 1) and g(x)=(3x + 5)?
A. 7x + 4
B. 12x2-5
C. 12x2 + 17x-5
D. 12x2 + 23x - 5
Show work
pls help asap no trolls
Answer:
yes
Step-by-step explanation:
This is because the sum of 2 sides of a triangle has to be greater than the side that was not used
The blue dot is at what value on the number -7 -9 line?
Answer: Y=-7 X=-9
Step-by-step explanation:
What are the common factors of 9 and 36
Answer:
The common factors of 9 are 1, 3, and 9.
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 38.