Answer:
-4
Step-by-step explanation:
log (2) (1/16)
2^4=16
fraction is negative exponent
-4
Answer:
-4
Step-by-step explanation:
i took the test
A shoe store uses a %60 markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $51?
Answer:
81.60 is your selling price
Step-by-step explanation:
60% = 0.60
0.60 x 51 = 30.60
51 + 30.60 = 81.60
help please , thank you
Answer:
Graph 1 (big) shows that it has the biggest number which means that graph 1 (big) is the correct answer!
Step-by-step explanation:
A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess board. On the second square the King would place two grains of wheat, on the third square, four grains of wheat, and on the fourth square eight grains of wheat. If the amount of wheat is doubled in this way on each of the remaining squares, how many grains of wheat should be placed on square 15? Also find the total number of grains of wheat on the board at this time and their total weight in pounds. (Assume that each grain of wheat weighs 1/7000 pound.)
Answer:
Square 15: 16,384
Sum of all grains up to and including square 15: 32,767
Total weight up to and including square 15: 4.681 lb
Step-by-step explanation:
Square 1: 1 = 2^0
Square 2: 2 = 2^1
Square 3: 4 = 2^2
Square 4: 8 = 2^3
Notice that the exponent of the 2 is 1 less than the number of the square, so for square n, the number of grains is 2^(n - 1)
Square n: 2^(n - 1)
Square 15: 2^(15 - 1) = 2^14 = 16,384
Now let's look at the sums.
Square 1 sum: 1
Square 2 sum: 1 + 2 = 3
Square 3 sum: 3 + 4 = 7
Square 4 sum: 7 + 8 = 15
Notice that each sum is one grain less than 2 raised to the number of the square.
Square 1 sum: 1 = 2^1 - 1
Square 2 sum: 1 + 2 = 3 = 2^2 - 1
Square 3 sum: 3 + 4 = 7 = 2^3 - 1
Square 4 sum: 7 + 8 = 15 = 2^4 - 1
Square n sum: 2^n - 1
Square 15 sum: 2^15 - 1 = 32,767
Weight:
32,767 × 1/7000 lb = 4.681 lb
Evaluate (6 + 2i) / (3 –i ).
5/4 + 6/4i
8/5 + 6/5i
20/8 + 12/8i
16/9 + 12/9i
We are given with a complex no. and need to simplify it , so let's start !!!
Let's assume that :
[tex]{:\implies \quad z=\sf \dfrac{6+2\iota}{3-\iota}}[/tex]
Now , Rationalizing the denominator or in other words multiplying and dividing [tex]{z}[/tex] by the conjugate of the denominator
[tex]{:\implies \quad z=\sf \dfrac{6+2\iota}{3-\iota}\times \dfrac{3+\iota}{3+\iota}}[/tex]
[tex]{:\implies \quad z=\sf \dfrac{(6+2\iota)(3+\iota)}{(3-\iota)(3+\iota)}}[/tex]
[tex]{:\implies \quad z=\sf \dfrac{6(3+\iota)+2\iota (3+\iota)}{(3)^{2}-(\iota)^{2}}\quad \qquad \{\because (a-b)(a+b)=a^{2}-b^{2}\}}[/tex]
[tex]{:\implies \quad z=\sf \dfrac{18+6\iota +6\iota +2(\iota)^{2}}{9-(-1)}\quad \qquad \{\because (\iota)^{2}=-1\}}[/tex]
[tex]{:\implies \quad z=\sf \dfrac{18+12\iota -2}{10}}[/tex]
[tex]{:\implies \quad z=\sf \dfrac{16+12\iota}{10}}[/tex]
[tex]{:\implies \quad z=\sf \dfrac{16}{10}+\dfrac{12\iota}{10}}[/tex]
[tex]{:\implies \quad {\bf \therefore}\quad \underline{\underline{z=\bf \dfrac{8}{5}+\dfrac{6}{5}\iota}}}[/tex]
Hence , Option B) (8/5) + (6/5)i is correct :D
Answer: 8/5+6/4i
Proof of validity is shown below.
A rectangular goat pen has a perimeter of 20 meters and an area of 24 square meters. What
are the dimensions of the pen?
Answer:
4m and 6m
Step-by-step explanation:
factors of 24: 2, 3, 4, 6, 8, 12
now just go through each and find one that fits the description
Classify the triangle by side length and angle measurement.
A: Scalene, acute
B: Isosceles, acute
C:Scalene, right
D: equilateral, obtuse
Answer:
C
Step-by-step explanation:
The sides are different lengths when you look at them and then the 90° angle is already given
Answer:
The triangle is classified as a "right angle" because the little box at the bottom left mean it's exactly 90 degrees.
Step-by-step explanation:
An airplane is traveling at 625 miles per hour. At this rate, about how long will it take the plane to travel 3,250 miles?
Answer:
5.2 hours
Step-by-step explanation:
divide the total distance by how fast
td/speed
3250/625=5.2hrs
Long ago, in some town, a phone number consisted of a letter followed by 3 digits (e.g. K651). How many
possible phone numbers could there be?
Answer:
25978
Step-by-step explanation:
There are 26 letters in the alphabet and 999 numbers with 3 digits so I multiplied and got the answer
Please mark Brainlest if I helped
Are 9/21 and 6/14 equivalent fractions
Answer:
Yes
Step-by-step explanation:
9/21 SIMPLIFIED= 3/7
6/14 SIMPLIFIED= 3/7
Question 1 :
What is the smallest number by which 256 may be divided so that the quotient is a perfect cube?
(A) 2 (B) 3 (C) 4
Question 2 :
How many digits are there in the square root of 4456321?
(A) 2 digits (B) 4 digits (C) 3 digits
Question 3 :
Find the value of 3x3 - 4x2 + x - 5 when x = -3
(A) -54 (B) -71 (C) -32
Question 4 :
The perimeter of a rectangle is 52 cm. If its width is 2 cm more than one-third of its length, find the dimensions of the rectangle.
(A) 12 cm x 4 cm (B) 18 cm x 8 cm (C) 15 cm x 9 cm
Question 5 :
What must be added to each of the numerator and the denominator of the fraction 7/11 to make it equal to 3/4
(A) 9 (B) 5 (C) 12
Question 6 :
A line which intersects two or more lines at a distinct points is called a ____________
(A) concurrent (B) Intersecting (C) Transversal
Question 9 :
The circumference of a circle is 44 cm.Find its area (use π=22/7)
(A) 154 cm2 (B) 130 cm2 (C) 145 cm2
Question 10 :
The volume of a right circular cylinder is 1100 cm3 and the radius of its base is 5 cm. Calculate its curved surface area.
(A) 410 cm2 (B) 125 cm2 (C) 440 cm2
* please help me with this I want to see how smart you guys are *
Answer:
1.) A
sorry I’m not smart so that’s the only one I know
Step-by-step explanation:
write an equation for the nth term of the sequence 8,32,128,512
Answer:
8*(4^n)
where n is the nth number
equation ar^n
where a is first term
r common ratio.
100 POINTS!!!!!
Dora earns a monthly salary of $2,212 plus 2% commission. Last month, she sold $19,866 worth of products. What was her gross pay?
Show work for 100 POINTS!!
====================================================
Work Shown:
2% = 2/100 = 0.02
2% of $19,866 = 0.02*19866 = 397.32
Dora earned $397.32 in commission on top of the base monthly salary of $2,212
Her total monthly pay is 2212+397.32 = 2,609.32 dollars
----------------
Optional section:
If you wanted to use a bit of algebra here, then the equation is
y = 0.02x+2212
Plug in x = 19866 and you should get y = 2609.32
Commission:-
[tex]\\ \rm\Rrightarrow 0.02(19866)[/tex]
[tex]\\ \rm\Rrightarrow 397.3[/tex]
Gross pay:-
2212+397.32609.3$[/tex]Round 705,499 to the nearest thousand.
Answer:
705,000
Step-by-step explanation:
To round to the nearest thousand, you look at the number to the right of 5. If the number is 5 or higher then you round 5 up. But it is 4 so you keep 5 the same. All of the numbers after 5 are now 0. 705,000
Answer:
705000. Hope this helps!!!!!
solve the following equation for x
4x - 6y=20
Answer:
x = [tex]\frac{3}{2}[/tex]y + 20
[Given]
4x - 6y = 20
[Add 6y to both sides of the equation]
4x = 6y + 20
[Divide both sides of the equation by 4]
x = [tex]\frac{6}{4}[/tex]y + 20
[Simplify [tex]\frac{6}{4}[/tex], both 6 and 4 are divisible by 2]
x = [tex]\frac{3}{2}[/tex]y + 20
Question 3
Thank youuu
Answer:
45⁰
Step-by-step explanation:
We need to find n first.
we are given that GQH is 90⁰ which means that the sum of GQL and LQK should 90⁰ because these are angles on a straight line which adds up to 180⁰.
so,
(4n-15) + 3n = 90⁰
Take the -15 to the other side after opening the brackets.
4n + 3n = 90⁰ + 15
7n = 105⁰
Divide it by 7 for both sides.
n = 15⁰
Now substitute n=15⁰ in you LQK equation.
4n -15
(4×15) -15
60⁰ - 15
45⁰
Find a polynomial f(x) of degree 5 that has the following zeros.
2,9,-4 (multiplicity 2 ), -5
leave your answer in factored form
F(x) =?
Answer:
Step-by-step explanation:
F(x) = (x - 2)(x - 9)(x + 4)²(x + 5)
In a recipe mike uses 4 cups of brown sugar for every 3 cups of flower. What is ratio of flour to brown sugar SIMPLEST FORM.
Answer:
3:12 = 1:4
Step-by-step explanation:
3 cups of flour = 4 cups brown sugar
4 x 3 = 12
3:12 = 1:4 (simplest form)
calculate the length of the diagonal for the given rectangular prism. Round to the nearest tenth
Length = 10cm
Width = 4cm
Height = 10cm
The length of the diagonal of the rectangular prism is 14.7 feet to the nearest tenth.
What is a prism?In a three-dimensional space prism is a polyhedron where two ends are similar.
Given:
The dimensions of the right rectangular prism:
Length l = 10cm
Width w = 4cm
Height h = 10cm
The length of the diagonal of the rectangular prism,
= √(l² + w² + h)
= √{(10)² + (4)² + (10)²}
= 14.69
= 14.7 feet.
Therefore, the length of the diagonal is 14.7 feet.
To learn more about the prism;
https://brainly.com/question/12649592
#SPJ1
Which table correctly lists the three solutions for the equation 5x + y = 14?
A)
х
-1
0
1
у
-5
0
5
5
B
B)
Х
-1
0
1
у
21
28
7
C)
х
-1
0
1
y
9
14
19
D)
х
-1
0
1
у
19
14
9
9
Answer:
a optionis a correct answer
Answer:
D will be your answer.
Step-by-step explanation:
solve the equations for y by replacing x with the numbers in the chart.
5x+y=14
start by isolating y by subtracting 5X from each side.
y= -5x + 14
y = -5(-1) + 14
y = 5 + 14
y = 19
y= -5x +14
y= -5 (0) +14
y= 14
y = -5x + 14
y = -5 (1) + 14
y = -5 + 14
y= 9
Which operation should you perform first when you simplify 63 − (2 + 54 multiply 6) ÷ 5?
Answer:
Multiply 54 by 6
Step-by-step explanation:
Remember the Order of Operations:
Parentheses
Exponents
Multiplication/Division (Whichever comes first)
Addition/Subtraction (Whichever comes first)
In this case, we can start by looking inside of the parentheses.
There are two signs; addition and multiplication.
Now we look back to the order of operations (PEMDAS), and see that multiplication comes before addition, therefore you should first multiply 54 by 6.
09. Find the rate A sum of money doubled itself in 15 years. In how many years will it become 8 times of itself?
Answer:
45 years
Step-by-step explanation:
Let the sum be x and CI=2x
We know that
CI=P(1+100R)T
2x=x(1+100R) ^15
(1+100R)^15=2
Let m be the number of years.
Therefore,
x(1+100R)m=8x
(1+100R)m=23
(1+100R)m=[(1+100R)^15]3
From eqn(1)
(1+100R)m=(1+100R)45
On comparing both power, we get
m=45 years
PLEASEEEE I NEED A ANSWER ASAP!!!!
A shipping container will be used to transport several 60-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 24000 kilograms. Other shipments weighing 3300 kilograms have already been loaded into the container. Write and solve an inequality which can be used to determine xx, the number of 60-kilogram crates that can be loaded into the shipping container.
((60 * c) + 3300 ≤ 24000
60c ≤ 24000 - 3300
60c ≤ 20700
c ≤ 20700 / 60
c ≤ 345
Step-by-step explanation:
60x + 3300 = 24000
60x = 24000 - 3300
60x = 20700
x = 345
A ladder is leaning up against the side of a house. Use two points
to find the slope of the ladder. Then verify that the slope is the
same at a different location by choosing a different set of points.
Answer:
The slope is 2.
Step-by-step explanation:
Slope = rise / run, meaning that when you move 2 units up, you move 1 unit right. The slope here is positive.
Simplify the expression:
3x4-8d+1
Answer:
-8d+13
Step-by-step explanation:
Add and Multiply all of the numbers without variables:
3x4+1
Use PEMDAS to solve (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction):
3x4=12
12+1=13
Now you have your answer:
-8d+13
Answer:
-8d+13
Step-by-step explanation:
Multiply first:
3x4=12
Add:
12+1=13
Add equations:
-8d+13
The correct answer is -8d+13
c.) 4. Solve the system of equations
and write the solution in the blank.
y = -3x + 4
y = 4x – 10
HELP! Use the ratio test to determine whether the series is convergent or divergent.
Answer:
A
Step-by-step explanation:
aₙ = 5ⁿ/n!
aₙ₊₁/aₙ = [5ⁿ⁺¹/(n+1)!] / [5ⁿ/n!] = 5/(n + 1) tends to zero when n tends to infinity.
zero < 1
so the series is convergent.
TO WHOEVER ANSWERS THIS QUESTION WILL RECIEVE A BRAINLIEST! I NEED THIS IN 1 HR SO PLEASE RESPOND AS SOON AS POSSIBLE!! THANKS!!!!!
51.25 per month which is $615 per year
They save 5 per month if they pay full year
(51.25-5)= 46.25 per month is $555
so it costs $555 if they pay all at once.
Answer:
mine is the same answer $555
Nolan has 4 sets of water colors. Each set has 8 colors. How
many total colors would he have if he bought 2 more sets?
Answer:
He would have 48
Step-by-step explanation:
1 set: 8
2 sets: 16
3 sets: 24
4 sets: 32
5 sets: 40
5 sets: 48
OR
{4(8)} + 2(8)
32 + 2(8)
32 + 16
48
Have an amazing day!!
PLEASE RATE AND MARK BRAINLIEST!
Answers
48
Steps
4+2=6
8 times 6= 48
g(n) = f(n)
f(n) = 2n² + 6
g(2) = ?
»f(n) = 2n² + 6
so, g(n) = 2n² + 6
»g(2) = 2(2)² + 6
»g(2) = 2(4) + 6
»g(2) = 8 + 6
»g(2) = 14✅
As
[tex]\\ \rm\Rrightarrow g(n)=f(n)[/tex]
[tex]\\ \rm\Rrightarrow g(2)=f(2)=14[/tex]
please help! i can’t seem to find a answer for this question.
D. (2,7)
it lines up with the others to form a rectangle
