9514 1404 393
Answer:
multiply their coefficients, use the base with the sum of exponents
Step-by-step explanation:
The coefficients multiply. The base gets an exponent that is the sum of the exponents of the factors.
(a·x^b)(c·x^d) = ac·x^(b+d)
_____
If you remember that an exponent is simply an indicator of the number of times the base is a factor, this should be fairly clear. The usual associative and commutative properties of multiplication apply.
Example
5x^2 · 7x^3= 5·x·x·7·x·x·x
= 5·7·x·x·x·x·x
= (5·7)(x^(2+3))
= 35x^5
What is the value of the expression?
Answer:
2/0 or infinity
Step-by-step explanation:
Suppose a bank charges a base rate of $5 plus $0.10 per check for your checking account. You can switch to a different account that charges $4 plus $0.20 per check. For what number of checks is the monthly cost of the two accounts the same? What is the cost?
Answer:
10 number of checks.
Cost = $6
Step-by-step explanation:
Given that:
Fixed Charges of first bank = $5
Charges of first bank per check = $0.10
Fixed Charges of second bank = $4
Charges of second bank per check = $0.20
To find:
Number of checks such that the charges for the banks become the same?
Solution:
Let the number of checks = [tex]x[/tex]
Cost for the first bank for [tex]x[/tex] checks = $5 + $0.10[tex]x[/tex]
Cost for the second bank for [tex]x[/tex] checks = $4 + $0.20[tex]x[/tex]
As per question statement, both the costs are the same.
Comparing the values:
[tex]5 + 0.10x = 4 + 0.20x\\\Rightarrow 0.10x = 1\\\Rightarrow x = 10[/tex]
So, for 10 number of checks the cost will be same.
The cost = 4 + 0.20 [tex]\times[/tex] 10 = $6
Help solve inequality
Answer:
n ≥ -95
Step-by-step explanation:
[tex]\frac{n}{-5}[/tex] -4 ≤ 15
[tex]\frac{n}{-5}[/tex] ≤ 19 add 4 to 15
n ≥ -95 multiple -5 to 19; sign flips when multiplying or dividing an inequality
three blocks are placed together as shown below. 3.8cm 8.7cm 9.4cm
The perimeter of a rectangle is 70 and it's diagonal is 25. Find it's length and width.
Quadrilateral E F G H is shown. Angle E is (15 x minus 10) degrees, angle F is (15 x + 14) degrees, angle G is (9 x minus 4) degrees, and angle H is (11 x + 10) degrees.
What is the greatest angle measure in the diagram?
95o
105o
119o
180o
Answer:
119
Step-by-step explanation:
Answer:
C. 119 degrees
6. A trail is 13.5 miles long. There are markers every 0.25 mile along the trail, including at the
end of the trail. How many markers are there in all?
a) 4
b) 5
c) 40
d) 54
Answer:
54
Step-by-step explanation:
13.5/0.25=54
Estimate 95.63+66.552 by first rounding each number to the nearest whole number
Answer:
162
Step-by-step explanation:
95.63 rounds up to 96
66.552 stays at 66
96+66=162
please help Pythagorean theorem
please answer all the question
Answer:
a)5
b)17
c) ?
[tex]d) 3\sqrt{2}[/tex]
Step-by-step explanation:
Answer:
Step-by-step explanation:
Formula: [tex]a^{2} + b^{2} = c^{2}[/tex]
A.)
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]4^{2} +3^{2} = c^{2}[/tex]
16 + 9 = [tex]c^{2}[/tex]
25 = [tex]c^{2}[/tex]
5 = c
__________________________________________________________
B.)
[tex]15^{2} + 8^{2} = c^{2}[/tex]
225 + 64 = [tex]c^{2}[/tex]
289 = [tex]c^{2}[/tex]
17
__________________________________________________________
C.)
[tex]11^{2} + 14^{2} = c^{2}[/tex]
121 + 196 = [tex]c^{2}[/tex]
317 = [tex]c^{2}[/tex]
17.8
__________________________________________________________
D.)
[tex]3^{2} + 3^{2} = c^{2}[/tex]
9 + 9 = [tex]c^{2}[/tex]
18 = [tex]c^{2}[/tex]
4.2
Sry my Wi-Fi is actin up
What is the equation of the line that has a slope of 1/3 and goes through the point (6, -2)?
Answer:
y=1/3x-4
Step-by-step explanation:
plug this equation into Desmos, a graphing calculator site, and the point and you can see it goes right through it! i hope this helped!
What is the scale factor of 9/10=21/x what is x
Find the value of (x) in the triangle shown below.
there are 5 people in Edgar's family. they have 3 loaves of pumpkin bread to share equally. Edgar wants to know how much pumpkin bread he will get?
Answer:
3 divided 5
Step-by-step explanation:
Edgar will get 3/5 or 0.6 part of pumpkin bread.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Total numbers of people in Edgar's family = 5
Total number of pumpkin bread = 3
Since, 3 bread are divided equally among 5 people,
implies that, bread will divide in the same ratio,
5 people = 3 bread
1 people= 3/5 bread
1 people= 0.6 part of bread
So Edgar will get 3/5 or 0.6 part of bread.
To know more about Ratio on:
https://brainly.com/question/1504221
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The choices are<,>,= and greater then or equal to
Answer: equal
Step-by-step explanation:
The square root of 35 is 5.9
5 9/10 = 5.9
The scale of a truck is 3.7 cm
Answer:
that truck must be straight fire
Helpppppppppppppppppp
Answer:
1 and 4
Step-by-step explanation:
Answer:
1, 4
:):):):):):):):):):):)
Matt is rounding some numbers to the nearest tenth. Select the number that will have a 4 in the tenths place after rounding.
4.04
5.39
6.34
7.48
Answer:
5.39
Step-by-step explanation:
4.04 rounded will be just 4
5.39 rounded is 5.4
6.34 rounded is 6.3
7.48 rounded is 7.5
When rounding if the second number is less than 4 you don't change it like in 6.34 that 4 after the 3 means it will just be 6.3 BUT if the second number is 5 or higher you round up on like with 5.39 it became 5.4 and with 7.48 it became 7.5
solve to find X :3 ≥ -3x
Answer:
[tex]3 \geqslant - 3x \\ \frac{3}{ - 3} \geqslant \frac{ - 3 x}{ - 3} \\ - 1 \leqslant x[/tex]
Find the missing angles.
Answer:
w=30.5 y=29
Step-by-step explanation:
2w=61 so w=30.5
61+y=90 so y=29
A forest covers 73,000 acres. A survey finds that
0.3% of the forest is old-growth trees. How many acres of
old-growth trees are there?
Answer:
0.3% of 73,000 acres
in acres its 219
in square foot its 9,539,640
and in square yard its 1,059,960
Step-by-step explanation:
50 POINTS!!!43
what is 43 7/8% of $2.35?
Round your answer to the nearest cent
Answer:
$1.03
Step-by-step explanation:
7/8 = 0.875
then
43 7/8 = 43.875%
43.875/100 = 0.43875
2.35 * 0,43875 = 1.031
Round to the neares cent:
1.03
Step-by-step explanation:
[tex]43 \frac{7}{8} \% \: of \: 2.35 \\ \frac{351}{8} \% \: of \: 2.35 \\ \frac{351}{8 \times 100} \times 2.35 \\ \frac{824.85}{800} = \boxed{\$1.0310625}[/tex]
$ 1.0310625 is the right answer.A team of seven workers started a job, which can be done in 11 days. On the morning of the fourth day, several people left the team. The rest of the team finished the job in 14 days. How many people left the team?
Let x be the number of people who left the team.
(Hint: Focus on the work left after several workers left. )
Answer:
3 people leftStep-by-step explanation:
The job can be completed by 7 people in 11 daysThe job is equivalent of 7*11 = 77 people*daysAfter 3 days, job left:
(11 - 3)*7 = 56 people*daysThis was completed by 7 - x people as x people left
Time needed was 14 days, we have new equation:
14(7 - x) = 567 - x = 4x = 7 - 4x = 3As we found, 3 people left
Solve the following inequality using both the graphical and algebraic approach:
x/2 + 1 < 3x + 2
Answer:
C. xz-0.4
Step-by-step explanation:
I calculated logically
Determine the solutiong to the equation. -8x - 2(7 + 2x) = -6(2x + 5) A. No solution B. One solution C. Infinite
your answer is
C. infinite
good luck :)
The percentage profit earned by selling a watch for Nu 1920 is equal to the percent loss incurred by selling the same watch for Nu 1280. At what price should the watch be sold to make 25% profit
Answer:
2,000
Step-by-step explanation:
The computation of the price that should be sold for making 25% profit is shown below:
Let cost price be x
Now the equation would be
(1,920 - x) ÷ x × 100 = (x - 1,280) ÷ x × 100
1,920 - x = x - 1,280
2x = 3,200
x = 1,600
Now the sale price would be
= 1,600 × 1.25
= 2,000
Hannah says that 2.11 is a rational number. Gus says that 2.11 is a repeating decimal.
Who is correct and why? Use the drop-down menus to explain your answer.
Answer:
Yes, hannah is correct.
Which number comes next in the pattern? 89, 77, 65, 53,
CLEAR
SUBMIT
SUBMIT
12
41
42
52
O
Answer:
41 comes next then 29 then 17
If f(x) = -6x + 1, what is f(1/2x-1) equal to
By substituting [tex]x = \(\frac{1}{2}x-1\)[/tex] , the given function f(x) = -6x + 1 can be simplified to [tex]f(x) = \(f(\frac{1}{2}x-1) = -3x + 7\)[/tex].
To find [tex]\(f(\frac{1}{2}x-1)\)[/tex], substitute [tex]\(\frac{1}{2}x-1\)[/tex] into the function f(x):
[tex]\(f(\frac{1}{2}x-1) = -6(\frac{1}{2}x-1) + 1\)[/tex]
Now, simplify the expression:
[tex]\(f(\frac{1}{2}x-1) = -3x + 6 + 1\)\\\\\(f(\frac{1}{2}x-1) = -3x + 7\)[/tex]
So, [tex]\(f(\frac{1}{2}x-1) = -3x + 7\)[/tex].
To know more about function, refer here:
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Michael borrowed $1000 on a 2 year loan. He is charged 5% simple interest per year.
How much interest is he charged for 2 year? What is the total amount he has to pay
back?
O $1000, $3000
O $10, $1010
O $50, $5000
O $100, $1100
Answer:
the last choice
Step-by-step explanation:
simple interest means there is only interest on the original principal (1000$)
so 2 years of 5% would be 10%, 10% of 1000 is 100.
total amount = interest+principal, so it is 100, 1100
breakout edu keyla winter wonderland question
i CAN'T DO THIS I've tried so many times how do you do it
Answer:
due i feel you i suck at those and my teacher counts THEM AS A GRADE AAA GRADEE!!!!