Which of the following statements is incorrect?
a. (-3x)3 = -27x3
b. xo xx-4 = x2
c. x + x-3 = x4
d. 3-2 = -9
Answer:
The last one is incorrect
What is the unit multiplier for days and weeks?
Answer:
days 7
weeks 4
Step-by-step explanation:
there are 7DAYS Iin a week
there are 4WEEKS in a month
Ejemplo: catalina compro una piscina para
ponerla en el jardín de su casa.
-Piscina cilíndrica 206cm de diámetro y 60cm
de profundidad además construirá una zona de
cemento y cerco de seguridad alrededor de la
piscina.
¿Cuál es el volumen máximo de agua que
puede contener la piscina? (considere T=3)
¿cuál es la extensión del cerco de seguridad?
(considere П=3)
The length of the fence must be 618cm
The volume that it can hold is 1,909,620 cm³
How to find the volume and the length of the fence?First, the fence is just equal to the circumference of the cylinder, remember that the circumfernce of a circle of diameter D is:
C = П*D
Here we use П = 3, then:
C = П*206cm
C = 3*206cm = 618cm
Now the volume, for a cylinder of diameter D and height H, the volume is:
V = П*(D/2)²*H
Replacing the values that we know we will get:
V = 3*(206cm/2)²*60cm = 1,909,620 cm³
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Mr. Layton needs to buy some oil for his central heating. He can put up to 2500 litres of oil in his oil tank. There are already 750 litres of oil in the tank. Mr. Layton is going to fill the tank with oil. The price of oil is 58.4 p per litre. Mr. Layton gets 6% off the price of the oil. How much does Mr. Layton pay for the oil he needs to buy
Answer:
Step-by-step explanation:
If the tank holds 2500 liters and there are already 750 liters in there, he only needs to buy 1750 liters.
If he is saving 6%, he is still spending 94%, so
.94(58.4) = 54.896 (what he'll be paying per liter after the 6% comes off, then
54.896(1750) = $96,068
mclaire155 THIS IS FOR YOU not and thank you
Answer:
shhdhd
Step-by-step explanation:
Oh wow great marks
n is m% of what? please help its hard.
Answer:" m% = m/100. what = a variable ... "x". for example. "is" means "=". "of" means multiply. n = (m/100)•x.
Step-by-step explanation:
What is the difference?
-3 2/3 - (-2 1/4)
let's firstly convert the mixed fractions to improper fractions.
\(\stackrel{mixed}{3\frac{2}{3}}\implies \cfrac{3\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{11}{3}}~\hfill \stackrel{mixed}{2\frac{1}{4}} \implies \cfrac{2\cdot 4+1}{4} \implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{11}{3}-\left( \cfrac{9}{4} \right)\implies -\cfrac{11}{3}+\cfrac{9}{4}\implies \cfrac{-(4)11~~ + ~~(3)9}{\underset{\textit{using this LCD}}{12}} \\\\\\ \cfrac{-44+27}{12}\implies \cfrac{-17}{12}\implies {\Large \begin{array}{llll} -1\frac{5}{12} \end{array}}\)
A rectangle initially has dimensions 6 cm by 7 cm. All sides begin increasing in length at a rate of 3 cm/s. At what rate is the area of the rectangle increasing after 23 s?
Answer:
The area of the rectangle is increasing at a rate of 54 cm2/s.
Step-by-step explanation:
I believe the answer to this is a rectangle but I'm not exactly sure. Can you clarify for me?
One of the properties of a rectangle (shared with a square) is that all angle are congruent (90°). Since quadrilateral has all angles that are congruent, then quadrilateral PQRS is a rectangle.
Name three synonyms for "Solution": _____________,___________,______________
Answer:
1 quick fix 2 solving 3 result
Step-by-step explanation:
hope it helps
what is the slope of the line that passes thru (7,-6) and (6,-6)
The slope of the straight line passing through the two given points is undefined which means the line is parallel to the y-axis.
Let us consider the two points A(x₁,y₁) and B(x₂,y₂) be the two points (7,-6) and (6,-6) on the cartesian coordinates.
Let the slope of the line joining A (7,-6) and B(6,-6) be m.
We know that the slope of a line is given by:
\(m=\frac{y_2-y_1}{x_2-x_1}\)
Slope of the line
= (6-7) / (-6+6)
= -1 / 0
= undefined
Since the slope is undefined we can say that the straight line is parallel to the y axis.
we know that tan 90° = ∞
So any line parallel to this line will have the same slope as the y axis.
Hence the slope of the given line is undefined or infinity.
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Joanna is currently watching 6.4 hours of T.V per day. She made a goal to reduce the amount to 1.6 hours per day . what is the amount now?
Answer: 4.8
Step-by-step explanation:
6.4 - 1.6 = 4.8
The average square of toilet paper measures 4.1" x 4.1." If one roll of toilet paper has 329 squares, what is the total area of a complete roll of toilet paper
Answer:
5,530.49\(inches^{2}\)
Step-by-step explanation:
4.1x4.1=16.81
16.81x329
Rewrite 2/5 : 1/15 as a unit rate
6.1
Answer:
Step-by-step explanation:
\(\frac{2}{5} : \frac{1}{15}\\\)
LCM of the denominator = LCM ( 5 , 15 ) = 15
∴ Now we have to multiply LCM by both the fractions , we get ,
\(\frac{2}{5}.15 : \frac{1}{15}.15\\ 6 : 1\)
What is the domain of the function represented by this graph? the graph of a quadratic function y = x^2 – 4 with a minimum value at the point (0,-4) A. -2 ≤ x ≤ 2 B. x ≥ 4 C. x ≤ 0 D. all real numbers Reset
Domain of the function represented by the graph of a quadratic function y = \(x^2\) – 4 with a minimum value at the point (0,-4) is all real numbers.
The correct answer is option D.
To determine the domain of the quadratic function y = \(x^2\) - 4, we need to consider the x-values for which the function is defined. Since a quadratic function is defined for all real numbers, the domain of this function is "all real numbers."
Let's analyze the given function and its graph to understand why the domain is "all real numbers."
The function y = \(x^2\) - 4 represents a parabola that opens upward, which means it extends infinitely in both positive and negative x-directions. The vertex of the parabola is at the point (0, -4), indicating that the minimum value of the function occurs at x = 0.
Since there are no restrictions or limitations on the x-values for which the function is defined, the domain is unrestricted and encompasses all real numbers. In other words, the function can be evaluated and calculated for any real value of x, whether it is a negative number, zero, or a positive number.
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Isaiah has h baseball cards. Michael gas 7 more baseball cards than Isaiah. Write an expression for the number baseball cards that Michael has in terms of h
Answer:
h + 7
because if Michael has 7 more than you just add 7 to Isiahs unknown
PLEASE HELP , I NEED A 100%
The quotient is found to be 4/5. The correct option is (B).
What is a fraction?A fraction is a number written in the form a / b, where a and b are integers and b ≠ 0. The number a is called as the numerator and b is the denominator. In order to divide two fractions take the reciprocal of the other fraction and change the sign as multiplication. It can be shown as a/b ÷ c/d = a/b × d/c.
The given expression is -3/5 ÷ (-3/4).
It can be simplified as follows,
Take the reciprocal of the fraction (-3/4) as -4/3.
And, change the sign of division to multiplication to obtain,
-3/5 ÷ (-3/4)
⇒ -3/5 × -4/3 = 4/5
Which the value of the quotient.
Hence, the quotient for the given arithmetic operation is 4/5.
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Mrs. Hanger is painting the following picture of an H to hang in the entryway of her home. She has made the following scale drawing as her model. The scale used on the drawing is 1:6.
As you can see, the "H" is going to be painted brick red in the center of a rectangular beige background. This means the distance from the "H" to the top of the picture will be the same as the distance from the "H" to the bottom of the picture. Similarly, the distance from the "H" to the left side of the picture will be the same as the distance from the "H" to the right side of the picture. Finally, each segment of the "H" will have the same width.
QUESTION. :
1. Use the actual dimensions of the painting to find the percentage of the painting that will be beige. Explain your reasoning and show all calculations.
Answer:
40 square inch
Step-by-step explanation:
1/2+1/2= 1
1+1=2
2times 4= 8
8times 5= 40
if the problem has inches in it,
the answer will always equal to a square-inch
A movie theatre has 24 screens. The ratio of action films to other films currently showing on all of the screens is 1:2. How many action films are currently
showing?
Answer:
8
Step-by-step explanation:
1 : 2
= 1 +2
= 3
action movie
1 ÷ 3 × 24 = 8
other movie
2 ÷ 3 × 24 = 16
If 1 action movie is to 2 other films it means on the 24 screens will be 8 action movies to 16 other films.
In Image 8 above, the dotted lines represent the angles bisectors of the 1 pointangles of the triangle. The single point where they intersect is *a. the center of the triangle's circumscribed circle.b. the center of the triangle's inscribed circle.c. a vertex of the circled. the midpoint of one side of the circle
Option B : The center of a triangle's inscribed circle.
Draw the triangle and circle and lines form the center of the circle to the point where the sides of the triangle are tangent to the circle.
Final answer:
Option B : The center of a triangle's inscribed circle.
for each positive integer n, p ( n ) is defined to be the product of the digits of n. for example, p (724)
I. A statement p(10n) = p(n) is not true for each positive integer n.
II. A statement p(n+1) > p(n) is not true for each positive integer n.
III.A statement p(2n) = 2p(n) is not true for each positive integer n.
The correct answer is an option (A)
Here, p(n) is defined to be the product of the digits of n
Consider the first statement.
p(10n) = p(n)
p(10n) will always have units digit as 0
p(n) can be any integer.
⇒ p(10n) ≠ p(n)
Thus, the first statement must not be true.
Consider statement - II
p(n + 1) > p(n)
for n = 2
p(n +1) = 3 and p(n) = 2
i.e., p(n + 1) > p(n)
for n = 9;
p(n + 1) = 0 and p(n) = 9
i.e., p(n + 1) < p(n)
Thus, the second statement must not be true.
Consider the statement - III
p(2n) = 2 × p(n)
for n = 12;
p(2n) = p(2 × 12)
= p(24)
= 8
And 2 × p(n) = 2 × p(12)
= 2 × 2
= 4
This means that p(2n) ≠ 2 × p(n)
Thus, the third statement must not be true.
The correct answer is an option (A)
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The complete question is:
For each positive integer n, p(n) is defined to be the product of the digits of n. For example, p(724) = 56, since 7 × 2 × 4 = 56
Which of the following statements must be true?
I. p(10n) = p(n)
II. p(n+1) > p(n)
III. p(2n) = 2p(n)
A. None
B. I and II only
C. I and III only
D. II and III only
E. I, II, and III
How many units away are each of the points from the y-axis?
O 2
O 3
O 4
O 5
PLEASE HURRY
Answer:
A. 2
Step-by-step explanation:
Point A is on the y-axis is y = -2.
-2 is 2 units away from 0, which is the y-axis.
Point B also, on the y-axis, is y = 2.
2 is also 2 units apart from the y-axis, which is y = 0.
Therefore, both points are 2 units away from the y-axis.
Answer:
it is A
Step-by-step explanation:
got it right on edge
Graph x + 4y = 8The y-intercept is ___ (I got this already its 8)
Answer
The y-intercept = 2
Explanation
The slope and y-intercept form of the equation of a straight line is given as
y = mx + b
where
y = y-coordinate of a point on the line.
m = slope of the line.
x = x-coordinate of the point on the line whose y-coordinate is y.
b = y-intercept of the line.
So, we just have to write the given equation in this form and the y-intercept will become apparent.
x + 4y = 8
4y = -x + 8
Divide through by 4
(4y/4) = (-x/4) + (8/4)
y = -0.25x + 2
Comparing this with y = mx + b
We can see that
b = y-intercept = 2
Hope this Helps!!!
what is the conjugate of
\(4 - 11 \sqrt{2} \)
The conjugate of the surd 4 - 11√2 is 4 + 11√2
How to find the conjugate of a number?The conjugate is where we change the sign in the middle of two terms. The number is in surd form, therefore, the conjugate of the number can be represented as follows:
The conjugate of a surd a + b√c is always a - b√c and vice versa.
Hence, the conjugate of the surd 4 - 11√2 is as follows:
We have to change the signs to find the conjugate
The conjugate of 4 - 11√2 is 4 + 11√2
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centra
Jonah drives his car to and from work. The total length of the trip to and from work is 19.8 miles. In
August, Jonah worked 26 days.
How many miles in all did Jonah drive to and from work that month? Complete the explanation.
19.8
26
Jonah drove
miles in August
Plz
514.8 your welcome
All you have to do is multiply 19.8 x 26
Given a right triangle with = 60° and the hypotenuse equal to 25 feet, which trigonometric
function would you use to solve for the opposite side?
cosine
secant
sine
tangent
We will use sine function, and length of the opposite side is \(\frac{25\sqrt{3}}{2}$\) feet.
Explain about Sine function.To solve for the opposite side of the right triangle, we would use the sine function. In a right triangle, the sine of an angle is defined as the ratio of the length of the opposite side to the length of the hypotenuse.
In this problem, we are given that one angle of the right triangle is 60 degrees and the hypotenuse is 25 feet. Let's label the opposite side as x and the adjacent side as y. Then we can use the sine function:
\($\sin 60^\circ = \frac{x}{25}$\)
Simplifying the left side, we have:
\($\frac{\sqrt{3}}{2} = \frac{x}{25}$\)
Multiplying both sides by 25, we get:
\($x = \frac{25\sqrt{3}}{2}$\)
Therefore, the length of the opposite side is \(\frac{25\sqrt{3}}{2}$\) feet.
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Find the slope between (6,-9) and (-2,8).
Answer:
-17/8
Step-by-step explanation:
8-(-9)=17
-2-6=-8
17/-8
The following selected information was extracted from the records of B Solomon.
1. B Solomon, the owner of Solomon Traders, bought a new Machine for R250 000 on 1 July 2013.
2. On 1 October 2014, he purchased a second Machine for R350 000 cash.
3. On 30 June 2015, the Machine bought during 2013 was sold for R120 000 cash.
4. It is the business’ policy to depreciate Machines at 20% per annum on cost.
REQUIRED:
Prepare the following ledger accounts reflecting all applicable entries, in the books of Solomon Traders, properly balanced/closed off, for the years ended 31 March 2016:
1.1. Accumulated depreciation.
1.2. A Machines realisation.
NB: Show all calculations as marks will be awarded for calculations.
1.1. Accumulated depreciation:
The accumulated depreciation for the machine bought on 1 July 2013 would be R150,000 as of 31 March 2016.
1.2. Machine realization:
The machine bought in 2013 was sold for R120,000 on 30 June 2015, resulting in a profit/loss on the sale of R10,000.
1.1. Accumulated Depreciation:
To calculate the accumulated depreciation, we need to determine the annual depreciation expense for each machine and then accumulate it over the years.
Machine bought on 1 July 2013:
Cost: R250,000
Depreciation rate: 20% per annum on cost
Depreciation expense for the year ended 31 March 2014: 20% of R250,000 = R50,000
Depreciation expense for the year ended 31 March 2015: 20% of R250,000 = R50,000
Depreciation expense for the year ended 31 March 2016: 20% of R250,000 = R50,000
Accumulated depreciation for the machine bought on 1 July 2013:
As of 31 March 2014: R50,000
As of 31 March 2015: R100,000
As of 31 March 2016: R150,000
1.2. Machine Realisation:
To record the sale of the machine bought in 2013, we need to adjust the machine's value and the accumulated depreciation.
Machine's original cost: R250,000
Accumulated depreciation as of 30 June 2015: R100,000
Net book value as of 30 June 2015:
R250,000 - R100,000 = R150,000.
On 30 June 2015, the machine was sold for R120,000.
Realisation amount: R120,000
To record the sale:
Debit Cash: R120,000
Debit Accumulated Depreciation: R100,000
Credit Machine: R250,000
Credit Machine Realisation: R120,000
Credit Profit/Loss on Sale of Machine: R10,000 (difference between net book value and realisation amount).
These entries will reflect the appropriate balances in the ledger accounts and properly close off the accounts for the years ended 31 March 2016.
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Which division problem is modeled in the image? A) 2 ÷ 6 = 3 B) 2 ÷ 3 = 6 C) 3 ÷ 2 = 6 D) 6 ÷ 3 = 2 the image has 3 circles an 2 stars in each circle
Answer:
b
Step-by-step explanation:
Answer:
its b
Step-by-step explanation:
What is the value of x? Enter your answer in the box. x =
Answer:
x = 46
Step-by-step explanation:
Use the triangle angle bisector theorem.
58/63.8 = (x + 4)/55
63.8(x + 4) = 55 * 58
63.8x + 255.2 = 3190
63.8x = 2934.8
x = 46