Step-by-step explanation:
The fraction 11/5 into decimal form is 2.2
Answer:
11/5 = 2 ,2
Step-by-step explanation:
11÷ 5
10 2, 2
10
10
00
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)
find the limit of the function algebraically. lim x → 0 -7 + x/x^2
Answer:
[tex]\lim_{x\to 0}\dfrac{-7+x}{x^2}=-\infty[/tex]
Step-by-step explanation:
The given limit problem is
[tex]\lim_{x\to 0}\dfrac{-7+x}{x^2}[/tex]
Left hand limit of the function is
[tex]LHL=\lim_{x\to 0^-}\dfrac{-7+x}{x^2}=\lim_{h\to 0}\dfrac{-7+(0-h)}{(0-h)^2}[/tex]
[tex]LHL=\lim_{h\to 0}\dfrac{-7-h}{h^2}[/tex]
Applying limit, we get
[tex]LHL=-\infty[/tex]
Right hand limit of the function is
[tex]RHL=\lim_{x\to 0^+}\dfrac{-7+x}{x^2}=\lim_{h\to 0}\dfrac{-7+(0+h)}{(0+h)^2}[/tex]
[tex]RHL=\lim_{h\to 0}\dfrac{-7+h}{h^2}[/tex]
Applying limit, we get
[tex]RHL=-\infty[/tex]
Since, LHL=RHL, therefore limit of the function exist at x=0.
Hence, [tex]\lim_{x\to 0}\dfrac{-7+x}{x^2}=-\infty[/tex].
The Egyptians used a ramp that could hold 1,000 pounds. If 6 people got on the ramp and they weighed 780 pounds total. What percentage of the ramp’s weight capacity is still available?
Answer:
22%
Step-by-step explanation:
1000-780=220
220/1000=0.22, or 22%
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
Peter wants to flip a fair coin 8 times. He wants to know the probability of getting 3 heads. What is the value of P?
Answer:
7/32
Step-by-step explanation:
Combinators. Your best friend in this scenario.
Basically, using combinations helps you to find the different ways that you could get heads three times out of eight. To do that, just get 8!/(3!5!) (this is a formula, not the exact numbers, per say, you should check that out), which ends up as 56. So there's 56 different ways that Peter can flip a coin eight times and land on heads three times.
Then, you divide that by the total number of possibilities, which in this case is 2^8, since every coin you flip gives you two different options, heads or tails.
Simplifying the fraction gets you 7/32.
Answer:
7/32
Step-by-step explanation:
the probability of getting exactly 3 heads when a coin is flipped 8 times in a row is: 7/32.
WILL AWARD BRAINLIEST AND GIVE 30 POINTS! ANY HELP IS APPRECIATED! I PREFER A STEP BY STEP EXPLANATION!
Answer:
[tex]\frac{12}{253}[/tex]
Step-by-step explanation:
So I would start by multiplying all the numbers on
the denominator first ----->
11 x 14 = 154
~~~
14 x 17 = 238
~~~ *BASICALLY: FIND THE COMMON DENOMINATOR*
17 x 20 = 340 (this will be how u add everything at the end)
~~~
20 x 23 = 460
Now your goal is to get all of these numbers to be the same as the denominator so you can add them together at the end (get a common denominator)
**(remember when multipling the top and the bottom numbers, whatever you do to the bottom you must do to the top)**
3 3 3 3
--------- (x ?) + --------- (x ?) + --------- (x ?) + --------- =
154 238 340 460
***sorry i dont hav time to finnish but i hope this helped at least a little****
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 :)
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
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.
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 .
"Filipe" was playing with a triangle on a coordinate plane. The triangle's area is 242424 square units. The largest circle he can fit in the triangle is centered at (0,0)(0,0)left parenthesis, 0, comma, 0, right parenthesis and passes through the point (1.2,1.6)(1.2,1.6)left parenthesis, 1, point, 2, comma, 1, point, 6, right parenthesis. Approximately what percentage of the triangle does the circle cover?
Answer:
52.33% is the correct answer.
Step-by-step explanation:
Given that:
Area of triangle = 24 sq units
Center of Circle is at (0, 0) and the circle passes through (1.2, 1.6).
To find: The percentage of triangle covered by circle.
Solution: To find the required percentage, we need to find the area of circle.
To find the area of circle, we need the radius of circle.
Radius of circle is the distance between the center of circle and any point that lies on the periphery of the circle.
We can use Distance formula :
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Radius = [tex]\sqrt{(1.2-0)^2+(1.6-0)^2} = \sqrt{1.44+2.56} = \sqrt{4} = 2\ units[/tex]
Now, area of circle is given by the formula:
Area = [tex]\pi r^{2}[/tex]
Area = 3.14 [tex]\times 2^{2}[/tex] = 12.56 sq units
Percentage of Triangle covered:
[tex]\dfrac{Area\ of\ circle}{Area\ of\ triangle}\times 100\\\Rightarrow \dfrac{12.56}{24}\times 100\\\Rightarrow 52.33\%[/tex]
Hence, 52.33% is the correct answer.
Answer:
52%
Step-by-step explanation:
Khan Academy.
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.
Convert the fraction 5/8 to a decimal
Answer:
0.625
Step-by-step explanation:
divide 5 by 8 to get 0.625
Answer:
0.625
Step-by-step explanation:
Divide the numerator by the denominator
so 5÷8 which equals 0.625.
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 student was given the following diagram and asked to prove that AX = XC. What would be the reason for the third step in the proof? - Please help!
Answer:
B. SAS triangle congruence
Step-by-step explanation:
Statement 1 said that a side and an angle were congruent in both triangles.
Statment 2 said that they share a line, thus making them equal.
So, a Side Angle Side(SAS)
Which facts are true for the graph of the function below? Check all that apply.
F(x) = logo.521^x
Answer:
its F, D, E, and C
Plz mark brainliest if this helps
Answer:
C. The domain is x>0.
D. The x-intercept is (1,0)
E. The range is all real numbers.
F. It is decreasing.
Step-by-step explanation:
It is correct!
Two pirates were playing with golden coins. At the start of the game, the first pirate lost half of his coins to the second pirate, then the second pirate lost half of his coins to the first one, then again the first lost half of his coins to the second pirate. At the end of the game, the first pirate had 15 coins, and the second had 33 coins. How many coins did the first pirate have initially?
Answer:
24 coins
Step-by-step explanation:
Start:
first pirate --> 1/2 coins
second pirate --> 3/2 coins
Next:
first pirate --> 1/2 + 3/4 = 5/4 coins
second pirate --> 3/2 - 3/4 = 3/4 coins
Next:
first pirate --> 5/4 - 5/8 = 5/8 coins
second pirate --> 3/4 + 5/8 = 11/8 coins
So:If 5/8 coins is 15, then 1/8 coins is 3, and 8/8 coins is 24 coins.
Answer:
24 coins
Step-by-step explanation:
im to lazy to explain
Triangle UVW is dilated with a scale factor of 1∕3 with the center of dilation at the origin. What are the coordinates of the resulting triangle U′V′W′? answers: A) U′ (0, 1), V′ (2, 2), W′ (2, 0) B) U′ (0, 2), V′ (3, 3), W′ (4, 0) C) U′ (0, 1), V′ (3, 3), W′ (2, 0) D) U′ (0, 9), V′ (18, 18), W′ (18, 0)
Answer:
A) U′ (0, 1), V′ (2, 2), W′ (2, 0)
Step-by-step explanation:
The coordinate plane showing Triangle UVW is found online and attached below.
From the graph, the coordinates of the vertices of the triangle are:
U(0,3), V(6,6) and W(6,0)
When you dilate a point (x,y) with a scale factor of 1/3, you obtain: [tex]\left(\dfrac{x}{3}, \dfrac{y}{3}\right)[/tex]
Therefore, applying the dilation [tex](x,y) \rightarrow \left(\dfrac{x}{3}, \dfrac{y}{3}\right)[/tex], we have:
[tex]U(0,3) \rightarrow U'(\frac{0}{3} ,\frac{3}{3})=U'(0 ,1)\\\\V(6,6) \rightarrow V'(\frac{6}{3} ,\frac{6}{3})=V'(2 ,2)\\\\W(6,0) \rightarrow W'(\frac{6}{3} ,\frac{0}{3})=W'(2 ,0)[/tex]
The coordinates of the resulting triangle U′V′W′ are:
U′ (0, 1), V′ (2, 2), W′ (2, 0)
The correct option is A.
Answer:
this is what came with the question in my exam , but i dont
know the answer and i couldn't comment the picture so can someone help?
1. Walmart’s stock price started at $70. It went up by $2, then went down $4. What is the final stock price?
2. A football team gains 5 yards, then loses 2 yards, then gain another 6 yards, then loses 3 yards. What is their net gain or loss?
3. What is the difference in elevation of Mt. Blum at 7,677 feet above sea level and New Orleans at −7 ft below sea level?
4. In one week, you earned $12 for doing your chores, you purchased some ice cream for $3, and lent your sibling $2. How much money do you have in your pocket?
5. The temperature outside one day was 60°F. At sunset, it fell by 8°. Overnight, it fell another 15°. What was the lowest temperature?
plz help and can u write the answers in order with explanation plz! thank u
Answer:
1. 68
2. 5
3.7684
4. 7
5. 37
Step-by-step explanation:
1. number 1 is equivalent to the expression 70 - 4 + 2 which is equal to 68
2. the net gain is equal to all the losses and gains added together, so 5 + (-2) + 6 + (-3) which simplifies to 5 - 2 + 6 -3 = 6
3.7677 - (-7) = 7684
4. this expression represents the scenario 12 - 3 - 2; which is equal to 7.
5. 60 - 8 - 15 represents the situation. this equals 37
Mia borrows $320 to buy books for her college classes. The simple interest is 5% for
one year. Mia wants to know the total amount she will pay back.
Answer:
$336
Step-by-step explanation:
Find 5% of 320
320(0.05) = 16
320 + 16 = 336
The total will be $336
Please help with this
Answer:
D. Yes The Triangles ARE ≅
Step-by-step explanation:
By definition equilateral triangles have all equal angles and sides. Since they share a side that means one of each triangle's sides are congruent. Using the transitive property (if side a ≅ side b and side b ≅ side c, then side a ≅ side c), you can prove that all other sides are congruent or equal in measure, no matter how you pair them.
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:
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:
SUBSCRIBE TO Yxng Playz
ON you tube
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
F(x)=x 3−9xf, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 9, x What is the average rate of change of f over the interval [2,6] open bracket, 12, comma, 6, close bracket?
Answer:
[tex]A(x) = 243[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^3 - 9x[/tex]
[tex]Interval: (12,6)[/tex]
Required
Determine the average rate of change
Average rate is calculated as thus;
[tex]A(x) = \frac{f(b) - f(a)}{b - a}[/tex]
In this case; b = 12 and a = 6
Calculating f(12)
[tex]f(12) = 12^3 - 9 * 12[/tex]
[tex]f(12) = 1728 - 108[/tex]
[tex]f(12) = 1620[/tex]
Calculating f(6)
[tex]f(6) = 6^3 - 9 * 6[/tex]
[tex]f(6) = 216 - 54[/tex]
[tex]f(6) = 162[/tex]
Substitute 12 for b and 6 for a in [tex]A(x) = \frac{f(b) - f(a)}{b - a}[/tex]
[tex]A(x) = \frac{f(12) - f(6)}{12 - 6}[/tex]
Substitute values for f(6) and f(12)
[tex]A(x) = \frac{1620 - 162}{12 - 6}[/tex]
[tex]A(x) = \frac{1458}{ 6}[/tex]
[tex]A(x) = 243[/tex]
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
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]
When is it helpful to convert from point-slope to slope-intercept form?
Answer:
Point slope form is to find the coordinates of the point on the line, whereas slope intercept gives you the slope plus y-intercept
Step-by-step explanation:
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.
Based on the graph below, what is a reasonable estimate for the у value when x is 4?