Answer:
6 4/9Step-by-step explanation:
2 over 3 to the power of 2 + 5 × 2 − 4
[tex](2/3)^2+5*2-4=[/tex][tex]4/9 + 10-4=[/tex][tex]4/9+6=[/tex]6 4/9(2/3)^2 +5×2−4
=4/9 + 10-4
=4/9+10−4
=4/9+6
= [tex]6 \frac{4}{9} [/tex]
Therefore, 6 4/9 is ur answer
Problem 7, please answer the following step by step.
(a) This is the same as computing 4⁵⁵ (mod 11). We have
4² ≡ 16 ≡ 5 (mod 11)
4³ ≡ 4 • 5 ≡ 20 ≡ 9 (mod 11)
4⁴ ≡ 4 • 9 ≡ 36 ≡ 3 (mod 11)
4⁵ ≡ 4 • 3 ≡ 12 ≡ 1 (mod 11)
Then from here,
4⁵⁵ ≡ (4⁵)¹⁰ • 4⁵ ≡ 1¹⁰ • 1⁵ ≡ 1 (mod 11)
(b) Each term in the sum
4ⁿ + 4ⁿ⁺¹ + 4ⁿ⁺² + 4ⁿ⁺³ + 4ⁿ⁺⁴
has a common factor of 4ⁿ, so this sum is the same as
4ⁿ (1 + 4 + 16 + 64 + 256) = 4ⁿ • 341 = 4ⁿ • 11 • 31
So the sum is indeed divisible by 11 for all integers n.
(c) Since 4ⁿ = (2ⁿ)², we know the sum is also divisible by 11 when a = 2.
List all the positive even numbers less than 10:
Kara’s Custom Tees experienced fixed costs of $300 and variable costs of $2 a shirt. Write an equation that can be used to determine the total expenses encountered by Kara’s Custom Tees. Let x be the number of shirts, and let C(x) be the total cost of producing x shirts. Then, calculate the cost of producing 6 shirts.
An equation that can be used to determine the total cost of producing x shirts is C(x)= ___________
The cost of producing 6 shirts is $________
Answer:
c(x)=2x+300 and $312
Step-by-step explanation:
c(6)=2(6)+300
c(6)=12+300=312
Which of the following graphs represents the equation −2 + = 10?
Homer and Marge had
dinner at the Main Street
Café. Their bill was
$35.28. If they tip their
waitress 15%, how much
of a tip will they leave?
Answer:
$5.29
Step-by-step explanation:
The tip was 15% U take that 15% and divide it by 100
whatever the answer was multiply it by a $35.28
What is the following product? Assume x>0
3√x^2 * 4√x^3
Answer: its c. x(12root x power 5)
Step-by-step explanation:
Trapezoid ZOID is congruent to trapezoid TRAP. If vertices 2 and have coordinates (0, -2) and (0, -5) respectively, which of the following could be possible coordinates for vertex
(4.-0,5)
0 (-3.5, -3)
(-1.5, 1
(-4.5.-5)
The trapezoids are congruent if the corresponding sides of each trapezoid are equal
The option that gives the possible coordinates for the vertex I is the option;
[tex]\underline{(-4.5, -5)}[/tex]
Reason:
The given coordinates of the trapezoid TRAP = T(3, 5), P(3 2), R(6, 5), and A(7.5, 2)
The given coordinates of the trapezoid ZOID = Z(0, -2), and D(0, -5)
Required: The possible coordinates for a vertex on ZOID
Solution:
The given points of the trapezoid are the height of the trapezoid ZOID
The possible vertex of I, and O are;
I(4.5, -5), I(-4.5, -5), O(3, -2), O(-3, -2)Therefore;
The option that gives the possible coordinates (position) of a vertex I is the option [tex]\underline{(-4.5, -5)}[/tex]
Learn more here:
https://brainly.com/question/12871672
Answer:
The trapezoids are congruent if the corresponding sides of each trapezoid are equal
The option that gives the possible coordinates for the vertex I is the option;
(-4.5.-5)
Step-by-step explanation:
100, 20,4, 0.8, ...
What is the formula for this geometric sequence
Answer:
divide by 5
Step-by-step explanation:
100/5 20 20/5 4 4/5 0.8 etc
Given Number A = -2 and Number B = -1 1. What is the abolsute Value of A 2. What is the absolute Value of B
Answer:
answer A= 2 answer b = 11
Step-by-step explanation:
my teachers said cancel out the negatives
Helen wants to paint a rectangle with an area of
35 square feet on her wall. If the height of the rectangle is 3 feet,
what is the width of the rectangle? (Remember, area = length x width.)
Write an equation and solve.
Which number line correctly shows look at pic
Answer:
A - The first one
Step-by-step explanation:
Answer:
The first line.
Step-by-step explanation:
The line starts off at 0,
then it goes to the left of the line -3 times.
Then it goes to the left -1.5 times.
this means it goes one and a half.
so it would land on the line after -4.
What number could replace ppp below?
\dfrac{20}{p} = \dfrac{2}{10}
p
20
=
10
2
start fraction, 20, divided by, p, end fraction, equals, start fraction, 2, divided by, 10, end fraction
p={}p=
p = 100
Step-by-step explanation:
[tex]\begin{aligned}\tt\dfrac{20}{p}&=\tt\dfrac{2}{10}\\\tt 2p&=\tt 20\cdot 10\\\tt 2p&=\tt 200\\\tt p&=\tt\dfrac{200}{2}\\\tt p&=\tt 100\end{aligned}[/tex]
Alejandra currently has a balance of $2,254 in her checking account. She deposits a $873.84 paycheck, a $25 rebate check, and a personal check for $358 into her checking account. She wants to receive $350 in cash. How much will she have in her account after the transaction?
Answer:
$3160.84
Step-by-step explanation:
2254 + 873.84 + 25 + 358 = 3510.84
3510.84 - 350 = 3160.84
5x−13x≥16 what’s the answer
x ≤ -2
Step-by-step explanation:
[tex]\begin{aligned}\tt 5x-13x&\geq 16\\\tt (5-13)x&\geq\tt 16\\\tt -8x&\geq\tt 16\\\tt 8x&\leq\tt -16\\\tt x&\leq\tt\frac{-16}{8}\\\tt x&\leq\tt -2\end{aligned}[/tex]
Factor.
f(x)=6x2 - x - 2
([ ? ]x + [])([ ]x - [ ])
Answer: Factor 6x^2-x-1. 6x2 − x − 1 6 x 2 - x - 1. For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c = 6⋅−1 = −6 a ⋅ c = 6 ⋅ - 1 = - 6, this should be right but if it isnt,u will have every right to get mad.
Step-by-step explanation:
Which of the following is true given that - 2/5 < 1/3
A.
is to the right of 1/3 on a horizontal number line
B.
is at the same place as 1/3 on a horizontal number line
C.
is to the left of 1/3 on a horizontal number line
D.
is the opposite of 1/3 on a horizontal number line
Answer:
C
Step-by-step explanation:
Is to the left of 1/3 on a horizontal number line.
is y=3 and x=5 perpendicular?
Answer:
yes
Step-by-step explanation:
One is a horizontal line, and the other is a vertical line.
Answer: Yes, if you graph the two lines, they have the negative recipricol of the other answer.
Step-by-step explanation:
Math 1 Graded Assignment Unit Test, Part 21 Polynor
(Score for Question 3:___ of 5 points)
3. Multiply the polynomials (+3a-7) and (24 - a + 4). Simplify the answer. Show your work.
Answer:
Answer:
9a-3
Step-by-step explanation:
a^2=2a+3a=5a-7+4=5a-3+(4a-a)=3a+5a=9a-3
How many teaspoons are in 1/2 cup
Answer:
there are 24 teaspoons in 1/2 cup
Given the geometric Saquence 5.14, 45--- find the next three term & the tenth term
Answer:
Step-by-step explanation:
You have some mistakes in the sentence. Also, can you add more information? I'd be glad to help you
How would I write out the diagram if A is a subset of B
Answer:
See image.
Step-by-step explanation:
See image.
Jacob said the product of 89 and 234 is 314.
How can you tell that his answer is wrong?
The product of 89 and 234 is 20826, not 314.
How to infer the correctness of a product
The multiplication of two positive integers equals another positive integer. Each term of a multiplication can be rewritten as sums of multiples of 10, which can be simplified by algebra:
[tex]89 \times 234[/tex] Given[tex](80 + 9) \times (200+30+4)[/tex] Definition of decimal numbers[tex](80 + 9)\times 200 + (80 + 9)\times 30 + (80+9)\times 4[/tex] Distributive property[tex]80\times 200 + 9\times 200 + 80\times 30 + 9\times 30 + 80 \times 4 + 9\times 4[/tex] Distributive property[tex]16000 + 1800 + 2400 + 270 + 320 +36[/tex] Definition of multiplication[tex]20826[/tex] Definition of addition/ResultBased on real algebra properties, we know that the product of 89 and 234 is 20826, not 314. [tex]\blacksquare[/tex]
To learn more on decimal numbers, we kindly invite to check this verified question: https://brainly.com/question/4708407
When you divide a whole number by a decimal less than 1,
the quotient is greater than the whole number. Why? tar
9514 1404 393
Explanation:
We assume all the numbers considered here are positive.
Dividing by a number is the same as multiplying by its reciprocal. A fraction less than 1 can be represented as the ratio m/n, where m < n. The reciprocal of this fraction is n/m, where n > m. That is, the reciprocal of a fraction less than 1 is a number greater than 1.
When you divide by a number less than 1, you effectively multiply by a number greater than 1. That is why the quotient is greater than the original dividend.
I need help ASAP please!!!!!!
Which absolute value function is equivalent to the piecewise function shown ?
A)
f(x) = |x| - 3
B)
f(x) = |x-3|
C)
f(x) = |x|+3
D)
f(x) = |x+ 3|
Answer:
I dont get what u are asking but i think it is 2X
Step-by-step explanation:
2X
6
Last year, a minor league baseball team
won 75 games. This year the team won
12 fewer games than it won last year.
What is the percent decrease in the
number of games the team won?
F 16%
H 12%
G 20%
J
63%
Answer:
Step-by-step explanation:
h 12
A collection of coins is worth $4.40 and is made up of nickels and dimes. If there are 75 coins total, how many dimes are in the collection?
Answer:
5.00
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
the nickels can add up to 60 nickels for 3$. then, i just started adding dimes until i get to $1.30 out of the remaining $1.40 (because we subtracted $3 from 60 nickels). we now have 73 coins. two more nickels adds 0.10, which finally gets us to the missing 1.40.
this probably didn't make sense, but I'm 98% sure its right.
What is the sum of 3/12 and 2/4 ?
Answer:
9 / 12
Step-by-step explanation:
2 / 4
= ( 2 / 4 ) x ( 3 / 3 )
= ( 2 x 3 ) / ( 4 x 3 )
= 6 / 12
3 / 12 + 2 / 4
= 3 / 12 + 6 / 12
= ( 3 + 6 ) / 12
= 9 / 12
Step-by-step explanation:
[tex] \bf \underline{Given-} \\ [/tex]
[tex] \leadsto \: \sf{ \frac{3}{12} \: and \: \frac{2}{4} } \\ [/tex]
[tex] \bf \underline{To \: find-} \\ [/tex]
[tex]\textsf{between there sum = ?}\\[/tex]
[tex] \bf \underline{Solution-} \\ [/tex]
[tex] \leadsto \: \sf{ \frac{3}{12} \: and \: \frac{2}{4} } \\ [/tex]
[tex] \leadsto \: \sf{ \frac{3}{12} \: + \: \frac{2}{4} } \\ [/tex]
Now, find the LCM of 12, and 4 in denominator.Process how to find LCM of 4 and 12↓
[tex] \sf{\mathsf{\begin{array}{r | l} \underline2& \underline4 \: \underline {12 } \\\underline 2&\underline2 \:\underline 6 \\\underline3&\underline1 \: \underline3 \\ &\underline1 \: \underline1 \\ \end{array}} }\\ [/tex]
[tex] \sf{ LCM} = 2 \times 2 \times 3 \\ = 4 \times 3 \\ = 12 \\ [/tex]
The LCM of 12 & 4 is 12.[tex] \sf \leadsto{ \: \frac{3 + 6}{12} } \\ [/tex]
Add 3 and 6 to get 9.[tex] \sf \leadsto{ \: \frac{9}{12} } \\ [/tex]
Now, divide both numerator and denominator to get 3/4.[tex] \boxed{ \bf \leadsto{ \: \ \frac{3 }{4} }} \\ [/tex]
Therefore, the sum of 3/12 and 2/4 is 3/4.
i have glass in my hand 4 months after a car accident what should i do just continue to wait for it to come out?
Answer:
hello! im taking medical school rn to be a paramedic and what i would do is either get a pair of tweezers and get it out or go to your local hospital to get it quickly removed!
Step-by-step explanation:
Jordan has completed 5/8 of his homework assignment. What is the decimal equivalent of the amount of the assignment he has completed?
Answer:Try to see what you have to do and see if you have to divide and add subtract and multiply
Step-by-step explanation: