Describe the error in the simplification below.
2^4x2^5 = (2 • 2)4+5
= 49
Answer:
You need to multiply the exponents, then you can multiply the two factors.
Correct answer of the equation:
2^4 x 2^5, multiply exponents
16 x 32, multiply
= 512
Mofor bought 12 Avocados for $18. How many avocados can Stefan buy if he has $6
Answer:
4
Step-by-step explanation
Stefan can buy 4 apple with $6 because the apples are $1.50 each
what is the answer for 5/8 ÷ 1/3
Answer:
15/8
5/8 ÷ 1/3
[Reciprocate the second fraction] =>
5/8 × 3/1
=>15/8
Answer:
1.875
as a fraction 15/8
Or
1 and 7/8
Siri told me.
Joanna is building 2 square planter boxes in her garden . Each box is 2 yard wide . What is the total perimeter of the boxes ?
Answer:
16 yards
Step-by-step explanation:
Square: all sides are equalSquare: 4 sides totalPerimeter of square: 2 + 2 + 2 + 22 + 2 + 2 + 2 = 8 yardsPerimeter of second box: 2 + 2 + 2 + 2 = 8 yardsPerimeters in total: 8 + 8 = 16 yardsI hope this helps!
Baseball hat for
$22.90 at 5% sales tax
Answer:I got $21.76
Step-by-step explanation:
;-;
A hexagon ABCDEF is shown.
С-115
D
B
145
Angle CDE is twice the size of angle DEF.
Work out the size of angle CDE.
You must show all your working.
E
160°
+
F
Answer:
140
Step-by-step explanation:
115+165+140+90=510
180*4=720 (sum of interior angles of hexagon)
115+165+140+90+x+2x=720
why 2x because i kept ANGLE DEF as x and ANGLE CDE is twice so 2x
510+2x+x=720
3x=210
x=210/3
x=70
ANGLE DEF IS 70
so because ANGLE CDE IS TWICE ANGLE DEF thus 70*2=140
ANGLE CDE =140
The angle CDE is 140°.
What is a hexagon?
A hexagon can be defined as a closed two-dimensional polygon with six sides. Hexagon has 6 vertices and 6 angles.
According to the given problem,
We know,
Sum of the interior angles of a polygon is,
Sum = 180° (n - 2) where n is the number of sides,
Here n = 6 , then
Sum = 180° × 4 = 720°
Let ∠ DEF be x
Therefore ∠ CDE = 2x,
Sum the interior angles,
⇒ 160 + 90 + 145 + 115 + 2x + x = 720
⇒ 510 + 3x = 720 ( subtracting 510 from both sides )
⇒ 3x = 210 ( dividing both sides by 3 )
⇒ x = 70
∠ CDE = 2x
= 2 × 70
= 140°
Hence, we can conclude, in the hexagon, the angle CDE is 140°.
Learn more about hexagon here:
https://brainly.com/question/2001860
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O A. (-2, 1)
O B. (-2,-1)
O c. (-1,-2)
O D. (1.-2)
Answer:
the answer is C -1-2 to the equation
Which is the distance between the points M ( -21, -7)and N ( -5, -7)
Answer:
16
Step-by-step explanation:
becasue from -21 to -5 it's 16 units (-21 - -5= 16).
Please look at picture
Answer:
32%
The probability according to these results is 32% because 25 people ordered a cold drink. 8 of those were smalls. 8 divided by 25 is 0.32 which is the percentage of a 100% chance aka 32%
Find the value of 3(5. 10 + 2).
Answer:
the value is
Step-by-step explanation:
=3(5.10+2)
=3(7.1)
=21.3
Answer:
3(5. 10+2)
Step-by-step explanation:
3(5.12)
3(60)
180
Which set of mixed numbers has a difference less than 1?
Lucas opened a savings account 20 years ago with a deposit of $3,815.24. The account has an interest rate of 3.3% compounded
quarterly. How much interest has Lucas earned?
a. $3,488.21
b. $3,546.50
c. $3,815.24
d. $3,941.14
Answer:
Interest earned = $3546.50
Option B is correct option.
Step-by-step explanation:
Time t = 20 years
Principal Amount P =$3815.24
Interest r = 3.3% or 0.033
Compounded quarterly n = 4
We need to find How much interest has Lucas earned?
First we need to find the future value in the account after 20 years
The formula used to find future value A is: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values of t, r , n and P to find A i.e future value
[tex]A=P(1+\frac{r}{n})^{nt}\\A=3815.24(1+\frac{0.033}{4})^{20*4} \\Simplifying:\\A=3815.24(1+0.00825)^{20*4} \\A=3815.24(1.00825)^{80}\\A=3815.24(1.929)\\A= 7361.74[/tex]
Now finding interest amount by subtracting the initial deposit from the future value
Interest earned = Future Value (A)- Initial Deposit (P)
Interest earned = 7,361.74 - 3815.24
Interest earned = 3546.50
So, Lucas have earned interest = $3546.50
Option B is correct option.
Which expression is equivalent to 2x^3y(x^2y - 3xy^2)?
F. 2x⁵y² - 6x⁴y³
That is the answer.
By means of distribution.
Hamburger-R-Us offers 8 toppings on its made to order burgers. you can order plain or any combination of toppings. How many types of burgers are possible?
Step-by-step explanation:
For every topping, you can either "take-it or leave-it" for your burger. This means there are 2 options for every topping.
Hence number of possible burgers = 2⁸ = 256.
Choose the rule to describe the transformation:
D(-3, -4), C(-3, -1), B(0, -4)
to
D '(3, -4), C '(3, -1), B '(0, -4)
a. reflection across the y-axis
b. reflection across y = -x
c. translation: (x,y)LaTeX: \longrightarrow⟶(x + 4, y)
d. reflection across y = x
Answer:
a. reflection across the y-axis
What is the total cost or sale price to the nearest cent?
$65 Jacket; 35% Discount
What is the value of n in the equation below? a^n/a^3=a^9
3
6
12
27
(a) Complete the table of values for y = 6 - 4x.
Please help ❤️
Answer:
[tex]\boxed{\begin{tabular}{|c|c|c|c|c|c|}\cline{1-6} \bf x & -1 & 0&1&2&3\\\cline{1-6} \bf y & 10& 6& 2&(-2)&-6 \\\cline{1-6}\end{tabular}}[/tex]
Step-by-step explanation:
Given equation to us is :-
[tex]\implies y = 6 - 4x [/tex]
So , here we can put different values of x in order to get different values of y .
Initial table given to us is ,
[tex]\begin{tabular}{|c|c|c|c|c|c|}\cline{1-6} \bf x & -1 & 0&1&2&3\\\cline{1-6} \bf y & & & 2&&-6 \\\cline{1-6}\end{tabular}[/tex]
Put x = (-1) :-
[tex]\implies y = 6 - 4x \\\\\implies y = 6 -4(-1) \\\\\implies y = 6 + 4 \\\\\red{\bf\implies y = 10} [/tex]
Put x = 0 :-
[tex]\implies y = 6 - 4x \\\\\implies y = 6-4(0) \\\\\implies y = 6 - 0 \\\\\pink{\bf\implies y = 6 }[/tex]
Put x = 2 :-
[tex]\implies y = 6-4x \\\\\implies y = 6 - 4(2) \\\\\implies y = 6 - 8 \\\\\blue{\bf\implies y = (-2)} [/tex]
Hence the final table would be :-
[tex]\begin{tabular}{|c|c|c|c|c|c|}\cline{1-6} \bf x & -1 & 0&1&2&3\\\cline{1-6} \bf y & 10& 6& 2&(-2)&-6 \\\cline{1-6}\end{tabular}[/tex]
please awnser asap asap
Answer:
d) 280
Step-by-step explanation:
40320/3=6720
8720/24=280
Let V(t) represent the values of a bank account, in thousands dollars, t years after the account is opened at the bank. Determine whether each statement below is true
Complete question is;
Let V(t) represent the value of a bank account, in thousands of dollars, t years after the account is opened at the bank. Determine whether each statement below is true. Select True or False for each statement.
V(0) = 2 means that the value of the bank account when it is opened is $2000
V(5) = 2.2 means that 2.2 years after the bank account is opened, its value is $5000
V(10) – V(5) = 0.4 means that the bank account grows by $400 between 5 and 10 years after its opening
Answer:
Statement 1: True
Statement 2: False
Statement 3: False
Step-by-step explanation:
We are told that the function V(t) represents the value of a bank account, in thousands of dollars, t years after the account is opened at the bank.
This means that if V(10) = 50, it means that the bank account is valued after 10 years is $50,000
From this little explanation, it's clear that only statement 1 is correct.
If f(x) = (4784), what is 13)?
Answer:
f(x)=4784
f(13)= 0 because there is x value on the right hand side
Which of the following represents A U B?
(There's a venn diagram with a box around it
-in the box outside the diagram- 5, 11, 1, and 7
- in the circle labelled "A"- 3 and 9
-in the circle labelled "B"- 2, 4, 8, and 10
-in the middle portion where the circles overlap- 6 and 12)
Answer Choices
{6, 12}
{2, 3, 4, 6, 8, 9, 10, 12}
{1, 5, 7, 11}
{2, 3, 4, 8, 9, 10}
Answer:
Step-by-step explanation:
Suppose the system below is consistent for all possible values of f and g. What can you say about the coefficients c and d? Justify your answer. x1 + 3x2 = f cx1 + dx2 = g
Answer:
The answer is "[tex]d \neq 3c,[/tex]f and g are arbitrary".
Step-by-step explanation:
The matrix of the device is increased
[tex]\left[\begin{array}{ccc}1&3&f\\ c&d&g\\ \end{array}\right][/tex]
Reduce the echelon row matrix
[tex]\left[\begin{array}{ccc}1&3&f\\ c&d&g\\ \end{array}\right] \\\\R_1 \leftrightarrow R_2 \\\\\frac{R_2 -1}{C R_1 \to R_2} \sim \left[\begin{array}{ccc} c&d&g\\ 0 & \frac{3c-d}{c}& \frac{cf-g}{c}\\ \end{array}\right][/tex]
Therefore, if 3c[tex]\neq[/tex] 0 is d [tex]\neq[/tex] 3c, the device is valid. Therefore d [tex]\neq[/tex] are arbitrary 3c, g and f.
The values of the coefficients c and d are 1 and 3, respectively
The system of equations are given as:
[tex]x_1 + 3x_2 = f[/tex]
[tex]cx_1 + dx_2 = g[/tex]
From the question, we understand that the system of equations is consistent.
Assume that the system of equations is also dependent, then it means that:
[tex]c =1[/tex]
[tex]d =3[/tex]
[tex]g =f[/tex]
Hence, the values of the coefficients c and d are 1 and 3, respectively
Read more about systems of equations at:
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Look at this graph:
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
please help me i dont understand this
Answer:
Step-by-step explanation:
the range is the out put of the function.. what can y be.. in other words
so it's all real numbers... :)
Factor completely 3x^2+ 2x -1.
O (3x + 1)(x - 1)
O (3x + 1)(x + 1)
O (3x - 1)(x + 1)
O (3x - 1)(x - 1)
Answer:
option C
Step-by-step explanation:
[tex]3x^2+2x-1\\\\=(3x+a)(x+b)\\\\(3b+a)=2\\\\ab=-1[/tex]
and here we think of b=1 and a=-1
so we have
[tex](3x-1)(x+1)[/tex]
If Sin theta=3/4,find the value of cos theta
Answer:
[tex]Cos \ \theta = \frac{\sqrt{7} }{4}[/tex]
Step-by-step explanation:
Given;
Sin θ = 3/4
To calculated Cos θ;
make a sketch of right-angled triangle with following sides;
opposite side = 3
hypotenuse side = 4
then, the adjacent side will be calculated from Pythagoras theorem;
let the adjacent side = b
b² = 4² - 3²
b² = 16 - 9
b² = 7
b = √7
Therefore, Cos θ is now calculated as;
Cos θ = adjacent / hypotenuse
Cos θ = √7/4
[tex]Cos \ \theta = \frac{\sqrt{7} }{4}[/tex]
Therefore, [tex]Cos \ \theta = \frac{\sqrt{7} }{4}[/tex]
The daily output at a plant manufacturing chairs is
approximated by the function
f(L,K) = 453KL 3/5 chairs
where L is the size of the labor force measured in hundreds
of worker-hours and K is the daily capital investment in
thousands of dollars. If the plant manager has a daily budget
of $13,000 and the average wage of an employee is $9.00
per hour, what combination of worker-hours (to the nearest
hundred) and capital expenditures (to the nearest thousand)
will yield maximum daily production?
Complete Question
The daily output at a plant manufacturing chairs is approximated by the function
[tex]f(L,K) = 45\sqrt[3]{K}L^3^/^5[/tex] chairs
where L is the size of the labor force measured in hundreds
of worker-hours and K is the daily capital investment in thousands of dollars. If the plant manager has a daily budget of $13,000 and the average wage of an employee is $9.00 per hour, what combination of worker-hours (to the nearest hundred) and capital expenditures (to the nearest thousand) will yield maximum daily production?
a)200 worker-hours and $9000 in capital expenditure
b)1100 worker-hours and $3000 in capital expenditure
c)500 worker-hours and $8000 in capital expenditure
d)900 worker-hours and $5000 in capital expenditure
e)600 worker-hours and $6000 in capital expenditure
f)300 worker-hours and $10,000 in capital expenditure
Answer:
d)900 worker-hours and $5000 in capital expenditure
Step-by-step explanation:
From the question we are told that
Daily output at a plant manufacturing chairs is approximated by the function [tex]f(L,K) = 45\sqrt[3]{K}L^3^/^5[/tex]
Daily budget of $13,000
Average wage of an employee is $9.00 per hour
a) Generally the function [tex]f(L,K) = 45\sqrt[3]{K}L^3^/^5[/tex] can be use to for (a)
Mathematically solving with L=200 K=9000
[tex]f(L=200,K=9000) = (45\sqrt[3]{9000})200^3^/^5[/tex]
[tex]f(L=200,K=9000) = 45*20.8*24[/tex]
[tex]f(L=200,K=9000) = 22464[/tex]
b)Generally the function [tex]f(L,K) = 45\sqrt[3]{K}L^3^/^5[/tex] can be use to for (b)
Mathematically solving with L=1100 K=3000
[tex]f(L=1100,K=3000) = (45\sqrt[3]{3000})1100^3^/^5[/tex]
[tex]f(L=1100,K=3000) = 45*14.4*66.8[/tex]
[tex]f(L=1100,K=3000) = 43286.4[/tex]
c)Generally the function [tex]f(L,K) = 45\sqrt[3]{K}L^3^/^5[/tex] can be use to find (c)
Mathematically solving with L=500 K=8000
[tex]f(L=500,K=8000) = (45*\sqrt[3]{8000})*500^3^/^5[/tex]
[tex]f(L=500,K=8000) = 45*20*41.63[/tex]
[tex]f(L=500,K=8000) =37467[/tex]
d)Generally the function [tex]f(L,K) = 45\sqrt[3]{K}L^3^/^5[/tex] can be use to find (d)
Mathematically solving with L=900 K=5000
[tex]f(L=900,K=5000) = (45*\sqrt[3]{5000})*900^3^/^5[/tex]
[tex]f(L=900,K=5000) = 45*17.09*59.2[/tex]
[tex]f(L=900,K=5000) =45577.88[/tex]
e)Generally the function [tex]f(L,K) = 45\sqrt[3]{K}L^3^/^5[/tex] can be use to find (e)
Mathematically solving with L=600 K=6000
[tex]f(L=600,K=6000) = (45\sqrt[3]{6000})600^3^/^5[/tex]
[tex]f(L=600,K=6000) = 45*18.17*46.4[/tex]
[tex]f(L=600,K=6000) =37974[/tex]
f)Generally the function [tex]f(L,K) = 45\sqrt[3]{K}L^3^/^5[/tex] can be use to find (e)
Mathematically solving with L=600 K=6000
[tex]f(L=300,K=10,000) = (45*\sqrt[3]{10,000})*300^3^/^5[/tex]
[tex]f(L=300,K=10,000) = 45*21.5*30.6[/tex]
[tex]f(L=300,K=10,000) = 29704.2[/tex]
Therefore the function f shows maximum at L=900 K=5000
Giving the correct answer to be
d)900 worker-hours and $5000 in capital expenditure
the area of square Garden is 625 metre square find its length its perimeter and find the cost of fencing it with 5 round at Rs 25 per metre
Answer:
Length=25m
Parameter=100m
5 round cost RS 12500
Step-by-step explanation:
The area of a square
=x²
According to the question the equation is
x²=625
x=√625
x=25
The parameter is
25×4
100 meter
So
1 meter costs 25
100 " " 25×100
2500
1 round = 100 meter
So
5 round cost 2500×5
12500
use repeated subtraction to divide 93÷10
Answer:
9r3
Step-by-step explanation:
93-10=83-10=73-10=63-10=53-10=43-10=33-10=23-10=13-10=3
so 93÷10=9 remainder of 3