What is the solution to (5m)² - (2n-3m)³ if m=-3 and n=5
Answer:
-6634
Step-by-step explanation:
all we have to do is plug in -3 everywhere m is and 5 where n is:
(5(-3))² - (2(5)-3(-3))³
(-15)² - (10+9)³
225 - 6859
-6634
express 3m24cm in kilometers,leaving your answer in standard form
Answer:
0.00324 kilometres
Step-by-step explanation:
Remember:
100 centimeters = 1 meter
1000 meters = 1 kilometer
So first, let's add together the meters and centimeters. To do that, we have to convert the meters to centimeters. That would become 300 centimeters, then you add the 24 centimeters to get 324 centimeters. Then, you convert that to kilometers. You can use a calculator for this, but I'll show you how to do this without a calculator. Since 100 centimeters is one meter, and 1000 meters equals to one kilometer, there would be 5 spaces from 324 to our answer, so you move the invisible decimal point 5 spaces to the left, and you get your answer, which is 0.00324 kilometres!
Answer:
0.00324 km is the answer
kamal has 6 cans of regular soda and 15 cans of diet soda. He wants to create some identical refreshment tables during the American football game. He also does not want to have any sodas left over. what is the greatest number of refreshment tables that Kamal can stock
Answer: 3
Step-by-step explanation:
This problem is looking for the Greatest Common Factor (GCF) of 6 and 15.
Draw a factor tree for each number and see what they have in common.
Reg Diet
6 15
∧ ∧
2 3 3 5
The GCF of 6 and 15 = 3
Each table will contain 2 cans of regular soda and 5 cans of diet soda.
What is the volume of the rectangular prism below/described? (Don't forget to label your answer!)

Length= 4 1/2 in. Width= 5 in. Height= 3 3/4 in.
The volume of the prism is ___.
(hint: in2 is inches squared; in3 is inches cubed)
Answer:
Step-by-step explanation:
Volume = Length times width times height.
Here,
Volume = (4.5 in)(5 in)(3.75 in), which, when evaluated by calculator, comes out to 84.375 cubic inches.
This is equivalent to 84 3/8 cubic inches.
Answer:
[tex]84\frac{3}{8}in^3[/tex]
Step-by-step explanation:
V = L * W * H
V = 4 1/2 * 5 * 3 3/4
V = 9/2 * 5/1 * 15/4
V = 675/8
V = 84 3/8
Please help with this
Answer:
I think it's D because the line AC looks like it is splitting the rectangle in half. I think this is right since the angles are congruent. (Angle BAC and Angle ACD)
Using the digits 1 to 9, at most one time each, fill in the boxes so that the points
make a parallelogram. Mathematically, use parallel line or congruent sides to
explain your answer. if there are calculations, include those in your explanation.
Answer:
(4, 7) (8, 9)
(2, 3) (6, 5)
Step-by-step explanation:
The definition of a parallelogram is a quadrilateral that has two pairs of opposite equal length parallel sides, including equal opposite angle measurements
To simplify the task, we plot the points on a graph paper for the parallelogram ABCD to get the following points;
B (4, 7) A (8, 9)
C (2, 3) D (6, 5)
The length of the opposite sides AB and CD are;
Length AB = √((9 - 7)² + (8 - 4)²) = √20 = 2·√5
Length CD = √((3 - 5)² + (2 - 6)²) = √20 = 2·√5
The length of the opposite sides AC and BD are;
Length AD = √((9 - 5)² + (8 - 6)²) = √20 = 2·√5
Length BC = √((7 - 3)² + (4 - 2)²) = √20 = 2·√5
The slope of segment AB is (9 - 7)/(8 - 4) = 2/4 =1/2
The slope of segment CD is (5 - 3)/(6 - 2) = 2/4 =1/2
Therefore, since the slopes of segments AB and CD are equal, segments AB and CD are parallel
Similarly, we have;
For segment AD, slope = (9 - 5)/8 - 6) = 4/2 = 2
For segment BC, slope = (7 - 3)/4 - 2) = 4/2 = 2
Therefore, the slopes of segments AD and BC are equal, segments AC and BD are parallel.
determine the horizontal asymptote for the rational function.
Answer:
y = 1
Step-by-step explanation:
The horizontal asymptote is the line, horizontally, where the graph doesn't cross. In this case, the graph approaches y = 1, but never touches 1, so your answer is y = 1.
what is the answer to...[tex]-\frac{2}{3} (4x-6)+\frac{1}{3}(x-5)[/tex]
use the explicit formula an = a1 + (n - 1) * d to find the 500th term of the sequence below. 24,30,36,42,48,... A. 3018 B. 3042 C. 2994 D. 3024
Answer:
Option A.
Step-by-step explanation:
The given sequence is
24, 30, 36, 42, 48, ...
It is an AP. Here,
First term = 24
Common difference = 30-24 = 6
The given explicit formula for nth term is
[tex]a_n=a_1+(n-1)d[/tex]
where, [tex]a_1[/tex] is first term, d is common difference.
Substitute [tex]a_1=24, d=6 \text{ and }n=500[/tex] in the above formula.
[tex]a_{500}=24+(500-1)(6)[/tex]
[tex]a_{500}=24+(499)(6)[/tex]
[tex]a_{500}=24+2994[/tex]
[tex]a_{500}=3018[/tex]
The 500th term of the sequence is 3018.
Therefore, the correct option is A.
Answer:
A is correct
Step-by-step explanation:
With reference to the figure, sin x =
Answer:
0.894
Step-by-step explanation:
Data provided in the question
BC length = 17.89 unit
DC length = 16 unit.
Now, we have to compute the angle y with the help of the cosine function;
Cosine defines the ratio between the right angle adjacent side and the hypotenuse
[tex]\cos = \frac{Adjacent side}{Hpotenuse}[/tex]
As per the triangle BDC;
Hypotenuse = BC =17.89 unit
And, the Adjacent side = 16 units
So;
[tex]\cos y =\frac{16}{17.89} =0.894354388[/tex]
[tex]y =\cos^{-1} (0.894354388) = 26.57^{\circ} (nearest\ to\ hundredths\ place)[/tex]
Now, determine the value of angle x
In right angle ΔABC;
As we know that
The three angles sum is 180 degrees
So,
[tex]\angle A + \angle B +\angle C =180^{\circ} ....(1)[/tex]
According to the given figure
[tex]\angle B=90^{\circ}, \angle A =x^{\circ}[/tex]
and
[tex]\angle C =y=26.57^{\circ}[/tex]
Now Substitute these in (1) for solving the angle x;
[tex]x^{\circ}+90^{\circ}+y^{\circ} =180^{\circ}[/tex]
or
[tex]x^{\circ}+90^{\circ}+26.57^{\circ} =180^{\circ}[/tex]
or
[tex]x^{\circ}+116.57^{\circ} =180^{\circ}[/tex]
[tex]x^{\circ}=180^{\circ} - 116.57^{\circ}=63.43^{\circ}[/tex]
Finally we have to determine the value of sin x;
Hence,
The value of [tex]\sin 63.43 =0.89438856[/tex]
or
= 0.894
Answer:
sin x = 0.894
Step-by-step explanation:
I hope you are refering to this figure:
A discount of 16 % saved $38 on office supplies. whatw as the price of supplies before the discount ?
Answer:
$44.08
Step-by-step explanation:
Answer:
$237.5
Step-by-step explanation:
You will divide 38 by .16 to get the answer.
When you need to convert from one system of measurement to another, you should convert to the
A. metric system.
B. system that will have the highest number.
C. system that will have the smallest number
D. system used on the medication label.
Find the area ratio of a cube with volume 125m3 to a cube with volume 64m3.
Answer:
25:16
Step-by-step explanation:
i think its right
Hey guys please help me solve and find angle w
Answer:
Step-by-step explanation:
in a parellelogram,Opposite angles of a parallelogram are congruent
110=11x+11
110-11=11x
99=11x
99/11=x
9=x
<w= 110 °
Subtract.
5x2 - 5+1
(2x2 +9x-6)
-_________
A. 3x2 - 4x+7
B. 3x2 - 14x+7
c. 3x2 + 4x - 5
D. 3x2 + 14x-5
Answer:
The answer is: [tex]3x^2-14x+7[/tex]
which agrees with answer B) among your list of possible options.
Step-by-step explanation:
I think you forgot an "x" in the first trinomial, so, let's try that:
[tex](5x^2-5x+1)-(2x^2+9x-6)=\\= 5x^2-5x+1-2x^2-9x+6=\\=3x^2-14x+7[/tex]
and what is the distance jeremy ran up the stairs is _______ feet. (round to the nearest tenth of a foot)
Answer:
4² + 5² = x²
Step-by-step explanation:
From the picture, the height of the staircase is:
h = 20 ft -15 ft = 5 ft
And the distance between the staircase and the building is 4 ft.
A right triangle is formed, where the distance between the staircase and the building (4) and the height of the staircase (5) are the legs, and the length of the staircase (x) is the hypotenuse. Using Pythagorean theorem:
4² + 5² = x²
What is the smallest number that is divisible by 1,2,3,4,5,6,7,8,9 and 10? How do you know? (explain) hurry pls
Answer:
The smallest number that is divisible by 1,2,3,4,5,6,7,8,9 and 10 is 2,520.
Step-by-step explanation:
2520/1 = 2520
2520/2 = 1260
2520/3 = 840
2520/4 = 630
2520/5 = 504
2520/6 = 420
2520/7 = 360
2520/8 = 315
2520/9 = 280
2520/10 = 252
Optimize the equation P = 4x + 3y using the constraints x > 0, x < 4, y <
5. What is the maximum?
a. 13
b. 15
c. -3
d. 31
Answer:
Option D is correct
Step-by-step explanation:
With x < 4 and y < 5:
P = 4x + 3y < 4(4) + 3(5) = 16 + 15 = 31
=> Option D is correct
Given the equation P = 4x + 3y With constraints x > 0, x < 4 and y < 5:
Option D is correct that is 31.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given the equation P = 4x + 3y
With constraints x > 0, x < 4 and y < 5:
The maximum value is
P = 4x + 3y < 4(4) + 3(5)
P = 16 + 15
P = 31
Hence, the Option D is correct.
Learn more about equations here;
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Write the slope-intercept form of the equation that passes through the point (0, 1) and is parallel to the line y = 3x - 5
Answer: y = 3x + 1
Step-by-step explanation:
In the equation y=mx+b (slope - intercept form), m represents the slope and b represents the y - intercept of the equation. We can use this to answer the problem.
Because the problem specifies here that the equation we are trying to solve for is parallel to y= 3x - 5, we can assume that its slope is 3 (the same as the line it is parallel to - this is so because of the definition of parallel lines).
m = 3
And finally, we know that the y-intercept will be in the form (0, b) - which is exactly what the given point is in. Substitute the value in, and we get:
b = 1
Now put these two values into one equation.
y = mx + b
y = (3)x + (1)
y = 3x + 1
Which system of equations has no solutions?
1. x-3y+3z=-4
2x+3y-z=15
4x-3y-z=19
2. 3x-3y+4z=6
-3x+3y-4z=-6
6x-6y+8z=12
3. -2a-4b+6c=5
-a+3b-2c=-1
a+2b-3c=1
4. x+y=9
y+z=7
x-x=2
Answer:
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When Reshard was born, his uncle bought him a $200 savings bond. When Reshard turns 20 years old, the bond will have earned 130% interest. How much will the bond be worth when Reshard turns 20?
Answer: 260
Step-by-step explanation: When we 200 times 130% we will get 260.
What is the height of the cone below?
ΔHFG is dilated by a scale factor of 2 with the center of dilation at point F. Then, it is reflected over line a to create ΔEFI. Based on these transformations, which statement is true? Line segments EG and HI intersect at point F, forming triangles EFI and HFG. Line a intersects with both triangles at point F. segment FG = one half segment FI, segment FH = one half segment FE, and segment HG = one half segment EI; ΔHFG ~ ΔEFI segment FG = segment FI, segment FH = segment FE, and segment HG = segment EI; ΔHFG ~ ΔEFI segment FG = one half segment FE, segment FH = one half segment FI, and segment HG = one halfsegment EI; ΔHFG ~ ΔIFE segment FG = segment FE, segment FH = segment FI and segment HG = segment EI; ΔHFG ~ ΔIFE
Answer:
segment FG = one half segment FI, segment FH = one half segment FE, and segment HG = one half segment EI; ΔHFG ~ ΔEFI
Step-by-step explanation:
In the picture attached, the triangles are shown.
After the dilation and reflection, there is proportionality between segment FG and segment FI, segment FH and segment FE, and segment HG and segment EI. More specifically:
FG = 1/2*FIFH = 1/2*FEHG = 1/2*EIAnswer:
segment FG = one half segment FI, segment FH = one half segment FE, and segment HG = one half segment EI; ΔHFG ~ ΔEFI
Step-by-step explanation:
In the picture attached, the triangles are shown.
After the dilation and reflection, there is proportionality between segment FG and segment FI, segment FH and segment FE, and segment HG and segment EI. More specifically:
FG = 1/2*FI
FH = 1/2*FE
HG = 1/2*EI
This answer is right! took the test on FLVS and confirmed it :)
Find the equation of the line passing
through the points (3,-2) and (4, 6).
y = [? ]x + [ ]
Answer:
y = 8x - 26
Step-by-step explanation:
Since we already have the ending equation in slope intercept form, all we need to do is fill in the blanks. We do that by putting it in point slope form which is [tex]y-y_{1}=m(x-x_{1})[/tex]
(You can plug either point in and get the same result but I'm going to use the first one)
[tex]y-(-2)=8(x-3)[/tex]
Distribute the [tex]m(x-x_{3})[/tex]
[tex]y-(-2)=8x-24[/tex]
Isolate the [tex]y[/tex]
[tex]y-(-2)=y+2[/tex]
[tex]y+2(-2)=8x-24(-2)[/tex]
[tex]y=8x-26[/tex]
And that's your answer!
please help me and hurry
Answer:
median: 90
mode: 91
mean: 84.2 or round it to 84
Step-by-step explanation:
Let me know if this helps! have a great day! :)
Answer:
a) Median = 91
b) mode = 91
c)Mean 84.2
Step-by-step explanation:
a) Median is the middle term. So, 6th term
Median = 91
b) Mode is the score which occurs more number of times
91 occurs 3 times
Mode = 91
c) Mean= sum of all data's/Number of data's
= 85 + 91 + 48 +98 + 99 /5
= 421/5
Mean = 84.2
Given the function f(x)=-3x^2+4x+6 find f(2) and f(3)
Answer:
f(2)= 2, f(3)= -9
Step-by-step explanation:
To find f(2) o f(3), you simply plug the respective number into the function, substituting it for x:
f(2)= -3(2)^2 + 4(2) + 6
f(2)= -12 + 8 + 6
f(2)= 2
f(3)= -3(3)^2 + 4(3) + 6
f(3)= -27 + 12 + 6
f(3)= -9
Help plz with this question. Needed fast. I will mark brainliest.
Answer:
≈ 68.2°
Step-by-step explanation:
tan X= 20/8
tan X= 2.5
x= tan ⁻¹ 2.5
x ≈ 68.2°
Answer:
Step-by-step explanation:
To find the size of YXZ we should use some trigonometry but first let's find the length of YZ
The Pythagorian theorem :(XZ)²+(ZY)²=(YX)²
YX=[tex]\sqrt{20^{2}+8^{2} }[/tex]
=4[tex]\sqrt{29}[/tex]
We khow that sin(YXZ)=(YZ)/(YX) = 20/(4[tex]\sqrt{29}[/tex]) = 5/[tex]\sqrt{29}[/tex]using a calculator we get (YXZ)= 68°
a store bought a vacuum cleaner for $120. the overhead is 5% of the cost. the store wants to make a profit of 10% over the cost plus overhead. find the selling price of the cleaner.
Answer:
The selling price of the cleaner is:
$138.6Step-by-step explanation:
First, we have the base of the value that is $120, now we know that the overhead is 5%, so we must calculate this value in dollars, the 5% of $120 is:
$120 * 5% = $6This value you must add to the base ($120), so the cost with the overhead is $126. How the store wants to make a profit of 10%, you must calculate this 10% of the total cost obtained ($126):
$126 * 10% = $12.6And you must add this value to obtain the final price in the store:
$126 + $12.6 = $138.6of the methods for solving systems of equations, which is the least accurate and may only give an approximate answer?
a. Graphing
b. Substitution
c. Elimination
d. None, they are all exact.
Graphing is the least accurate method for solving systems of equations, and it may only give an approximate answer. Hence, option A is the right choice.
What is the system of equations?A system of equations is made up of two or more equations that are solved at the same time.
What are the different ways of solving systems of equations?There are three ways to solve a system of equations:
Graphing: All equations are graphed and the point of intersections are the solutions for the system of equations.Substitution: One variable is isolated in one equation, and its value is substituted in the other equation to solve the system of equations.Elimination: Operations are done on all equations to eliminate one variable and then solve for the system of equations.How to solve the question?In the question, we are asked which method for solving systems of equations is the least accurate and may only give an approximate answer.
We have discussed all methods above.
Of these methods, when solving manually, as the degree of the equation gets bigger and bigger, the graphing of equations will become difficult, and thus the graphing method will be the least accurate.
Thus, graphing is the least accurate method for solving systems of equations, and it may only give an approximate answer. Hence, option A is the right choice.
Learn more about solving a system of equations at
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10 tolas gold bought from American market at $ 553 per tola is sold in Nepal at 20% customs duty charge and 13% VAT. At what price should it be sold ?
Answer: $735.49
Step-by-step explanation:
Given, the price of 10 tolas gold bought from American market = $553
Custom duty charge = 20%
VAT = 13%
Custom duty charge = 20% of $553
= 0.20 x 553 [we divide a perecntage to convet it into decimal]
= $110.6
VAT = 13% of $553
= 0.13 x 553
= $71.89
Selling price = Original price +Custom duty charge + VAT
= $553+$110.6+ $71.89
= $735.49
Hence, it should be sold at $735.49 .