Answer:
Option 1: Domain of both functions are all real numbers.
Step-by-step explanation:
f(x) = 5x
Domain: All Real Numbers
Range: All Real Numbers
g(x) = 5
Domain: All Real Numbers
Range: y > 5
Answer: Option 1
Step-by-step explanation:
f(x) = 5x
Domain: All Real Numbers
Range: All Real Numbers
g(x) = 5
Domain: All Real Numbers
Range: y > 5
What is the height of the cone below?
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°
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.
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]
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
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 .
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
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
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
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.
Which division problem is represented in the picture?
Answer:
B. 3 1/3 (3/2)
Step-by-step explanation:
10/3 = 3 1/3
3 1/3 / 2/3 is basically equal to 3 1/3 * 3/2 as you have to use keep change flip for dividing fractions.
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
Lines L and M are parallel.
4
3
5
L
2
1/6
38° 7.
- M
Find : m24
Enter the number that
belongs in the green box.
?]
Enter
Answer:
m∠4 = 38°
Step-by-step explanation:
The angle that measures 38° and ∠6 are vertical angles, which means that they are congruent, therefore m∠6 = 38°
∠6 and ∠4 are corresponding angles, which means that they are congruent, therefore m∠4 = m∠6 = 38°
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
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.
of 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
https://brainly.com/question/7808225
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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 :)
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)
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
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.
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.
WILL GIVE BRAINLIEST AND 30 POINTS! Multiply the matrix representing the vertices of the rectangle to transform the figure. What are the coordinates of the resulting figure?
Answer:
What are the coordinates of the resulting figure?
✔ (0, 0), (4, 0), (4, –4), (0, –2)
Step-by-step explanation:
its C on Edge
I just took this assignment and got it right
The coordinate of the given figure is, (0, 0), (4, 0), (4, –4), (0, –2).
We have to determine the coordinates of the resulting figure.
What is the meaning of the coordinate?A pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes.it can be represented by (x,y) that is the x-value and y-value.
Therefore the value of x and y at point (0,0) is 0 and 0.
The value of x and y at point (0,2) is 0 and 2.
The value of x and y at point (4,4) is 4 and 4.
The value of x and y at point (4,0) is 4 and 0.
Therefore the coordinate of the given figure is,
(0, 0), (4, 0), (4, –4), (0, –2)
To learn more about the coordinates visit:
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1 Point
Which of the following best describes a random event?
A. The number of doctor visits a person makes in a year
B. The winner of an election
C. The age at which a baby will get her first tooth
D. The age at which a person is legally allowed to drive in the state of
California
SEBNI
Answer: B
Step-by-step explanation:
Makes the most sense out of all the options because it’s the most random or unpredictable
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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ON you tube
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 °
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:
What is the area of the obtuse triangle given below?
Answer:
9 sq. units
Step-by-step explanation:
We khow that the area of a triangle is Area= (base*height)/2 so A=(9*2)/2=18/2=9Answer:
C
Step-by-step explanation:
Billy has three times as many llamas as lambs.
Milly has twice as many lambs as llamas.
They have 17 animals in total.
How many of the animals are llamas?
Answer:
There are 9 llamas.
Step-by-step explanation:
For Billy, we have to find a number that is divisible by four, because he has one group of lambs, and 3 times as many llamas, which gives us 4 groups altogether. The number must be below 10 in order to not go above 17 when Milly's number of animals are included, but above 4 itself in order to reach the target of 17 in the first place.
As you can guess, the only number that fits all the criteria is 8. It's divisible by 4 and below 10, but above 4 itself.
If Billy has three times as many llamas as lambs, then he must have 2 lambs, and 6 llamas, as 2 × 3 = 6.
If we know that Billy has 8 animals, then we also know that Milly must have 9 animals, as 17 - 8 = 9.
We also know that Milly has 3 groups of animals; one group of llamas, and two groups of lambs, meaning we divide the number of animals she has by 3.
9 ÷ 3 = 3.
This tells us Milly has just 3 llamas, because 3 is one group of 9, and 3 × 2 = 6, because she has twice the amount of lambs.
Billy has 2 lambs and 6 llamas.
Milly has 6 lambs and 3 llamas.
The amount of lambs is irrelevant to our final answer, so we can disregard them and do a final sum of 6 + 3 = 9, which gives us our answer.
Answer:
Billy: Has 4 lots of animals
Milly: Has 3 lots of animals
17 animals in total means that Billy must have 4 lots of 2 (8 animals) and Milly must have 3 lots of 3 (9 animals) So Billy has 6 llamas and Milly has 3, giving 9 llamas in total
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:
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