D
Step-by-step explanation:
The domain is the X-values in your function
as you can see, the X values continue to increase as the lines continue, infinitely
Please Help Me!
Find the value of x
Answer: 65°
Step-by-step explanation:
You can determine the total degree within a shape by using the formula 180°(n-2), where n is the number of sides of the shape. Thus, the total degree within the parallelogram is 360°.
Angles sum up to the total degree, meaning we need to add up all the angles we see and set them equal to the total degree. We have two (2x-15) and two x's.
2(2x-15) + 2x = 360
Distribute the 2 to (2x-15), you will get 4x - 30.
4x - 30 + 2x = 360
Add like terms, 4x + 2x to get 6x.
6x - 30 = 360
Add both sides by 30 to isolate the 6x, because we are trying to determine the value of x, we need to isolate the term.
6x = 390
Divide both sides by 6, and you are left with the value of x being 65°
How do I find the missing angle of an intersecting line?
Answer:
Read the given problem, look at the given figure of intersecting lines, and identify the angle given and the unknown angles.
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The point -3/5 , -4/5 in the third quadrant corresponds to angle θ on the unit circle.
The value of sec θ is ____
, and the value of cot θ is _____
.
The value of sec θ is -5/3 ,and the value of cot θ is 3/4 in the unit circle.
Given:
The point -3/5 , -4/5 in the third quadrant corresponds to angle θ on the unit circle.
here x = -3/5 and y = -4/5
radius r = [tex]\sqrt{(-3/5)^{2}+(-4/5)^{2} }[/tex]
= [tex]\sqrt{9/25 + 16/25}[/tex]
r = 1.(which is hypotenuse in unit circle).
sec θ = hypotenuse / adjacent
= 1/-3/5
sec θ = -5/3
cot θ = adjacent / opposite
= -3/5 / -4/5
= 3*5/5*4
= 15/20
cot θ= 3/4
Therefore the value of sec θ is -5/3 ,and the value of cot θ is 3/4.
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In AJKL, JL is extended through point L to point M, m/LJK = (x+9)°,
m/JKL = (x - 2)°, and m/KLM = (5x - 11)°. Find m/LJK.
For the given triangle JKL, the value of x is 10. An angle is a figure in Plane Geometry formed by two rays or lines that share a common endpoint.
What is meant by angle?When two straight lines or rays intersect at a common endpoint, an angle is formed. An angle's vertex is the common point of contact. Angle is derived from the Latin word angelus, which means "corner." An angle is a figure in Plane Geometry formed by two rays or lines that share a common endpoint. "Angle" comes from the Latin word "angelus," which means "corner." The two rays are known as the sides of an angle, and the common endpoint is known as the vertex.When two lines intersect at a common point, an angle is formed. They are expressed in degrees, which are denoted by the symbol °.Given information:
In ∠J K L,JL is extended through point L to point M.
[tex]$&m \angle J K L=(2 x+14)^{\circ} \\[/tex]
[tex]$&m \angle L J K=(3 x+15)^{\circ} \\[/tex]
[tex]$&m \angle K L M=(7 x+9)^{\circ}[/tex]
See the attached figure.
At point L, the measure of angle JLK will be as,
[tex]$&m \angle J L K=180-m \angle K L M=180-7 x-9 \\[/tex]
[tex]$&=(171-7 x)^{\circ}[/tex]
Now, in triangle JKL, use the angle sum property to find the value of x as,
[tex]$$m \angle J K L+m \angle L J K+m \angle J L K=180[/tex]
[tex]$$$(2 x+14)^{\circ}+(3 x+15)^{\circ}+(171-7 x)^{\circ}=180$[/tex]
-2 x+200=180
2 x=20
x=10
Therefore, the value of x for the given triangle JKL is 10.
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6. According to Statistics Canada, the number of cable television subscribers increased from about 1 151 000 in 2002 to about 1 393 000 in 2003. What was the mean number of new subscribers per month during that year?
The mean number of new subscribers per month during that year is 242000.
What is a mean?A mean simply means the average of the numbers given.
The number of cable television subscribers increased from about 1 151 000 in 2002 to about 1 393 000 in 2003.
The mean number of new subscribers will be:
= Change in numbers / Number of years
= (1393000 - 1151000) / 1
= 242000 / 1
= 242000
Therefore, the mean is 242000.
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Given
a = -4, b = -4 and c = -5
work out
b² - 2ac
Answer:
-24
Step-by-step explanation:
b²-2ac
(-4)²-2(-4)(-5)16-40-24⇒Plug in the values given in places and simplify.
[tex]=(-4)^{2} -2(-4)(-5)\\=16-2(20)\\=16-40\\=-24[/tex]
-24 is the answer after substitution of the known values.
7. Eugene earns $2,700 monthly. He is going to be receiving a 3.5% raise. With this new raise, he
Inelieves he will earn more than $2,800 a month. Is Eugene correct in his thinking? Why or why
rot? Justify your reasoning.
Answer: No
Step-by-step explanation: to find out how much more money Eugene will be making we need to isolate the increased value provided by the raise and then add it to his already existing earnings. We do this by multiplying $2700 by 3.5%.
We would write this as 2700 x .035
This is because 100% can be converted to 1, for example if Eugene got a 100% raise we would multiply 2700 by 1 (which changes nothing) then add 2700 and 2700 together.
Since Eugene is only getting a 3.5% raise we would write it as .035 instead of 1
Now that we have our equation we first need to simplify. In this case it means we remove the two zero's from 2700 to make it 27. To make sure the answer does not get messed up will make the other side of the equation larger by moving everything two decimal points (one for each removed zero) like this.
27 x 3.5
This is much easier to work with but I will still show the steps I am using to prevent confusion.
27 x .5 = 13.5
27 x 3 = 20 x 3 + 7 x 3
20 x 3 = 60
7 x 3 =21
60+21 =81
81+13.5=94.5
Since 2700 + 94.5 = 2794.5 Eugene will not make more than $2800 dollars a month after his raise.
Which table represents an exponential function of the form y = b when 0
Second table represents an exponential function of the form y = b when 0
Define exponential function.A mathematical function with the formula f (x) = an x is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, or roughly 2.71828, is the exponential-function base that is most frequently encountered. In addition to many other applications, exponential functions are used to estimate populations, carbon date artefacts, assist coroners in determining the time of death, compute investments, and many more. Three of the most popular applications—population expansion, exponential decay, and compound interest—will be covered in this session.
Given,
Second table represents an exponential function of the form y = b when 0
Function: y = bˣ
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Someone help me with this please
Answer:
C
Step-by-step explanation:
C has a directly proportional relationship. 27 glasses are in 9 cases, and 81 glasses are in 27 cases. Directly proportional since 9×3=27 (cases) and 27×3=81 (glasses)
A group of friends wanted to compare their average running speeds. They recorded the distance and amount of time each person ran one Saturday morning.
Select all the runners whose speeds are in a proportional relationship with each other.
Name Time (seconds) Distance (miles)
Liam 306.6 0.5
Taylor 756.36 1.2
Sarah 504.35 0.7
Ashley 459.9 0.75
Connor 600.5 1
Nathan 942.75 1.5
Juan 827.82 1.35
Katie 429.48 0.6
The runners whose speeds are in a proportional relationship with each other:
the running speed of Liam, Taylor, Ashley, Nathan, Juan are equal (0.0016) whereas the running speed of Sarah and Katie are equal.
In this question, we have been given the data for the distance and amount of time each person ran one Saturday morning.
We need to select all the runners whose speeds are in a proportional relationship with each other.
We find the speed using formula, speed = distance / time
Name Time (seconds) Distance (miles) Speed(mps)
Liam 306.6 0.5 0.5/306.6 = 0.0016
Taylor 756.36 1.2 1.2/756.36 = 0.0016
Sarah 504.35 0.7 0.7/504.35 = 0.0014
Ashley 459.9 0.75 0.75/459.9 = 0.0016
Connor 600.5 1 1/600.5 = 0.0017
Nathan 942.75 1.5 1.5/942.75 = 0.0016
Juan 827.82 1.35 1.35/827.82 = 0.0016
Katie 429.48 0.6 0.6/429.48 = 0.0014
Therefore, the runners whose speeds are in a proportional relationship with each other:
the running speed of Liam, Taylor, Ashley, Nathan, Juan are equal (0.0016) whereas the running speed of Sarah and Katie are equal.
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What is 2/3 plus 4/8 equal to please let me know and please explain, and this is 5th grade.
5th grade
Answer: 7/6
Step-by-step explanation:
Ok so first we must take these fractions and make them have a common denominator. The best way to do this is to take 2/3 and multiply the numerator and denominator by 8 giving us 16/24. Next take 4/8 and multiply the numerator and denominator by 3 giving us 12/24. Now we have both a common denominator. Now we add the numerators of both (16+12) to get 28/24 but now we have an improper fraction divide the numerator and denominator by 4 to get us 7/6.
Hope this Helps :)
Solve 15+ax/5= 10 for x.assume that a=0
The solution for x in the expression given as 15 + ax/5 = 10 is x = -25/a
How to determine the solution to the variable x in the expression?From the question, the algebraic expression is given as
15 + ax/5 = 10
There is a constant to add to or subtract from the expression
So, the we subtract 15 from both sides
- 15 + 15 + ax/5 = 10 - 15
Evaluate
ax/5 = -5
Multiply both sides of the equation by 5
This gives
5 * ax/5 = -5 * 5
Evaluate the products
So, we have the following equation
ax = -25
Multiply both sides of the equation by 1/a
This gives
1/a * ax = -25 * 1/a
Evaluate the products in the above expression
x = -25/a
Hence, the solution is x = -25/a
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$.
(b) (i) Annie invests $330 at a rate of 1.5% per year compound interest.
Calculate the amount that Annie has after 8 years.
Give your answer correct to the nearest dollar.
Answer: $372
Step-by-step explanation:
330 + (1.5% of 330) = 334.95
334.95 + (1.5% of 334.95) = 339.97425
339.97425 + (1.5% of 339.97425) = 345.073864
345.073864 + (1.5% of 345.073864) = 350.249972
350.249972 + (1.5% of 350.249972) = 355.503772
355.503772 + (1.5% of 355.503772) = 360.836392
360.836392 + (1.5% of 360.836392) = 366.248398
366.248398 + (1.5% of 366.248398) = 371.742124
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simplify the following
2²y + 3x² + 4y + 3x²y + 2y
Answer:
10y+3x^2+3x^2y
Step-by-step explanation:
^2 means square
2^2 is 4 and different variable cannot be added.
x + 3y = -18 in slope intercept form
Answer:
y=1/3x+6
Step-by-step explanation:
Use the formula "Y=mx+b"
Answer:
y= -1/3x - 6
Step-by-step explanation:
x+3y = -18
3y = -x -18
y= -1/3x - 6
You and your friend went out to lunch and your total bill (before
taxes) was $36.50. You enjoyed your
service and want to leave a tip of $20%. What is your tip amount?
$7.30
$0.73
$20.00
$36.70
Answer: Your answer is $7.30
Step-by-step explanation:
Finding the amount for a tip is simple!
all that's required is multiplying the bill (36.50) by the amount you want to tip (.20, because 20% is equal to .20)
36.50×.2= $7.30
If there are 176 chocolate marshmallows in the bag, how many marshmallows are vanilla?
The ratio Illustrated shows that the number of vanilla marshmallow is 121.
What is a ratio?A ratio shows how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. It should be noted tjat.A/B will be the formula if one is comparing one data point (A) to another data point (B).
Let the vanilla marshmallow be represented be x.
Since the ratio for chocolate marshmallows to vanilla mmarshmallows is 5:11, the vanilla will be:
= 11 / (5 + 11) × 176
= 11/16 × 176
= 11 × 11
= 121
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Complete question
The ratio for chocolate marshmallows to vanilla mmarshmallows is 5:11. There are 176 chocolate marshmallows in the bag, how many marshmallows are vanilla?
What two numbers = -48 (multiply) and does the two numbers = -13
Answer:
The two numbers are [tex]3[/tex] and [tex]-16[/tex].
Step-by-step explanation:
Two numbers that, when multiplied, result in a product of [tex]-48[/tex]:
[tex]x \cdot y = -48[/tex]
Same two numbers when added get a sum of [tex]-13[/tex]:
[tex]x + y = -13[/tex]
Solve for x in the summation identity:
[tex]y = -13 - x[/tex]
Plug the value back into the product identity and solve for [tex]x[/tex]:
[tex]x \cdot (-13-x) = -48\\-13x - x^2 = - 48\\x^2 + 13x = 48\\x^2 + 13x - 48 = 0\\(x-3)(x+16) = 0[/tex]
The roots we found for [tex]x[/tex] were:
[tex]x = 3\\x = -16[/tex]
Our two numbers are [tex]3[/tex] and [tex]-16[/tex]. We can test this:
[tex]3 + (-16) = -13\\3 * -16 = -48[/tex]
which proportion is equivalent to the original equation
Original equation (1/2) + (1/2x) = (x² -7x +10)/4x is equivalent to the proportion (x+1)/2x = (x² -7x +10)/4x.
As given in the question,
Given equation is :
Original equation (1/2) + (1/2x) = (x² -7x +10)/4x
Simplify the original equation to get the equivalent equation
Least common multiple is 2 and 2x is equal to 2x
Original equation (1/2) + (1/2x) = (x² -7x +10)/4x is Equivalent to the proportion is given by:
( x + 1) / 2x = (x² -7x +10)/4x
Therefore, original equation (1/2) + (1/2x) = (x² -7x +10)/4x is equivalent to the proportion (x+1)/2x = (x² -7x +10)/4x.
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3
6
Find the value of x.
x
x = [?]
For the given triangle, the value of x would be 12.
What is the geometric mean theorem of a triangle?
According to the geometric mean theorem, the length of an altitude drawn from a triangle's right angle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.
For the given triangle, we can apply the geometric mean theorem,
By the geometric mean theorem, we can write
6² = 3 * x
36 = 3 * x
⇒ x = 36/3
⇒ x = 12.
Hence, for the given triangle, the value of x would be 12.
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Identify the domain of the function shown in the graph
The domain of the graph is (d) all set of real values
How to determine the domain of the relation in the graph?The graph represents the given parameter
This graph represents a function
Say the graph represents the function f(x)
The x values represent the domain
i.e domain = Set of all x values
On the graph, we can see that the graph extends across the x-axis till infinity on both sides
This means that
Domain = All set of real values
Hence, the domain of the relation is (d) all set of real values
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Multiply and simplify: 3i(4 - 3i) - i (2 + i)
10 + 10i
Apply Multiplicative Distribution Law: 12i - 9 x i^2 - 2i - i^2
Rewrite by definition: i^2 = -1:12i - 9 x (-1) -2i - (-1)
Remove the parentheses: 12i + 9 - 2i + 1
Combine like terms: 10 + 10i
Answer 10 + 10i
Answer:
10 + 10i
Step-by-step explanation:
Given expression:
[tex]3i(4 - 3i) - i (2 + i)[/tex]
Expand:
[tex]\implies 12i-9i^2-2i-i^2[/tex]
[tex]\implies 12i-2i-9i^2-i^2[/tex]
[tex]\implies 10i-10i^2[/tex]
Apply the imaginary number rule i² = -1 :
[tex]\implies 10i-10(-1)[/tex]
Simplify:
[tex]\implies 10i+10[/tex]
Rewrite in standard complex form a + bi:
[tex]\implies 10+10i[/tex]
Find value of x. Show steps.
cómo se saca el porcentaje
Answer:
Step-by-step explanation:
Para determinar el porcentaje, tenemos que dividir el valor por el valor total y luego multiplicar el resultado por 100.
Need help
Solve 4(x-5) = 18
Answer:
x = 19/2 or 9.5
Step-by-step explanation:
a) Distribute.
(4)(x) + (4)(−5) = 18
4x + −20 = 18
4x − 20 = 18
b) Add 20 to both sides.
4x − 20 + 20 = 18 + 20
4x = 38
c) Divide both sides by 4.
4x/4 = 38/4
x = 19/2 or 9.5
Answer:
9.5 or 19/2
Step-by-step explanation:
4 ( x - 5 ) = 18
Step 1 : Divide 4 on both sides.
x - 5 = 18/4
x - 5 = 4.5
Step 2 : Add 5 on both sides.
x = 4.5 + 5
x = 9.5
Value of x in fraction = 95/10 = 19/2
Value of x in decimal = 9.5
List the independent and dependent variables
H(x)=3+0.5x
x is the independent variable and H(x) is the dependent variable
How to determine independent and dependent variables?
A dependent variable is a variable whose value depends upon independent variables.
An independent variable is a variable that does not depend on any other variable for its value.
For example, in an expression, y = 3x + 2, x is an independent and y is a dependent variable because y depends on x for its value
Given: H(x) = 3+0.5x
Therefore, x is the independent variable and H(x) is the dependent variable because it is a function of x
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A line is drawn through (–7, 11) and (8, –9). The equation y – 11 = y minus 11 equals StartFraction negative 4 Over 3 EndFraction left-parenthesis x plus 7 right-parenthesis.(x + 7) is written to represent the line. Which equations also represent the line? Check all that apply.
y = y equals StartFraction negative 4 Over 3 EndFraction left-parenthesis x plus StartFraction 5 Over 3 EndFraction.x +
3y = –4x + 40
4x + y = 21
4x + 3y = 5
–4x + 3y = 17
The equivalent linear equation in standard form is 4x + 3y = 5
How to determine the equivalent equations?From the question, we have the following parameters that can be used in our computation:
Points = (-7, 11) and (8, –9)
Point-slope form is y - 11 = -4/3(x + 7).
Recall that the point-slope form is y - 11 = -4/3(x + 7).
So, we have
y - 11 = -4/3(x + 7).
Multiply through both sides by 3
This gives
3y - 33 = -4(x + 7).
Open the brackets
3y - 33 = -4x - 28
Evaluate the like terms
3y = -4x + 5
Add 4x to both sides
4x + 3y = 5
Hence, the equation is 4x + 3y = 5
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Find the LCM of
2 x 3 x 3 x 5 and 3 x 3 x 5 x 5
Answer:
LCM of 90 and 225 = 450
I'm not too sure I understand
2 x 3 x 3 x 5 = 90, and 3 x 3 x 5 x 5 = 225
90: 90, 180, 270, 360, 450
225: 225, 450
LCM = 450
PleASE HELP I WILL MARK BRANLY ITS ALGEBRA PROBLEM!!!
Hi, your answer will be 2.6 tons. Hope it helps.
Answer:
2.6 tons can be lifted by a rope with a diameter of 2 inches.
Step-by-step explanation:
2 = √39 / π
hope this helps you
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Considering the triangle with exterior angles and interior angles as described. The statements that are true include
m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°How to determine the statements that are correctThe problem is solved considering this 3 theorems about triangles
exterior angle of a triangle theoremlinear pair theoremsum of angles in a triangleexterior angles theorem: m∠2 + m∠3 = m∠6
If a triangle side is created, the outside angle that results is equal to the sum of the two opposite internal angles.
Linear pair theorem: m∠5 + m∠6 =180°
Linear pairs are particular instances of supplementary angles that only involve two neighboring angles.
Sum of angles in a triangle is equal to 180 degrees:
m∠2 + m∠3 + m∠5 = 180°
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