The domain of h(z) would be (-8,3).
The range of h(z) would be (2,9).
Point (4,8) would be moved to (0,8)
What are the domain and range of a function?
The domain is the set of all x-values that can be used to make the function "work" and produce actual y-values.
A function's range is the variety of conceivable y-values (minimum y-value to maximum y-value)
For the function f(x):
Domain: (-4,7)
Range: (2,9)
The function f(x+4) is equal to 1 (f(x+4)).
This shows, inputs: -4, outputs: 1
Domain of f(x+4):
add -4 to the Domain values of f(x)
Domain:(-4-4,7-4)=(-8,3)
Range of f(x+4):
Multiply the range values of f(x) by 1
Range: (1*2,1*9)= (2,9)
Find, where the point (4,8) would be moved:
add -4 to 4, and multiply 8 by 1
(4-4,8*1)
=(0,8)
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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
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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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?
$.
(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
Please thank and rate :)
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
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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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
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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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
ethical research methods include multiple choice selecting samples that you know to be biased. always using a census as samples as not reliable. using only convenience sampling to select samples. doing your best to select an unbiased sample.
Ethical research methods include D. doing your best to select an unbiased sample.
What is research ethics?In research, ethical considerations are a set of principles that guide your research designs and practices. Active consent, informed consent, anonymity, confidentiality, potential for harm, and results communication are among these principles.
The standards of conduct for scientific researchers are governed by research ethics. To protect the dignity, rights, and welfare of research participants, it is critical to follow ethical principles. Many ethical norms in research, for example, guidelines for authorship, copyright and patenting policies, data sharing policies, and peer review confidentiality rules are intended to protect intellectual property interests while encouraging collaboration.
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A television antenna is 10 feet tall. It has three wires that attach to its top and are anchored 8 feet
from its base. How long is each wire?
The length of each wire is 12.8 feet
The television antenna makes an angle 90 with the ground
The height of the antenna is 10 feet
The wires are anchored to the base which is 8 feet
We need to calculate the length of the wires
The height of the wire can be calculated by using pythagoras theorem
h² = b² + p²
h² = 8² + 10²
h² = 64 + 100
h = √164
h = 12.8
Therefore, the length of each wire is 12.8 feet
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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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PLEASE HELP I WILL GIVE BRAINLY!!!Question 2(Multiple Choice Worth 2 points)
(Factoring Algebraic Expressions LC)
Rewrite 30 - 6x³ using a common factor.
O2(15-3x³)
O 2x(15-3x²)
O6(5-6x³)
O6x(5-x²)
Answer:
(15-3x³) is the answer.
Step-by-step explanation:
2*15-2*3x³
which is 30-6x³.
Which of the ordered pairs below is a solution to the system of inequalities?
The ordered pair which is a solution to the system of inequalities is: (-1, 0).
How to determine the solution?In order to determine which ordered pairs are true solutions based on the given system of inequalities, we would have to test each of the ordered pairs by substituting their values into the system of inequalities as follows;
For ordered pair (4, 3), we have:
-7x + 3y > -1
-7(4) + 3(3) > -1
-28 + 9 > -1
-19 > -1 (False).
For ordered pair (2, 8), we have:
-7x + 3y > -1
-7(2) + 3(8) > -1
-14 + 24 > -1
10 > -1 (True).
5x - 9y > -6
5(2) - 9(8) > -6
10 - 72 > -6
-62 > -6 (False).
For ordered pair (-1, 0), we have:
-7x + 3y > -1
-7(-1) + 3(0) > -1
7 + 0 > -1
7 > -1 (True).
5x - 9y > -6
5(-1) - 9(0) > -6
-5 - 0 > -6
-5 > -6 (True).
For ordered pair (-2, 2), we have:
-7x + 3y > -1
-7(-2) + 3(2) > -1
14 + 6 > -1
20 > -1 (True).
5x - 9y > -6
5(-2) - 9(2) > -6
-10 - 18 > -6
-28 > -6 (False).
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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.
Jace's company has 17 employees who work full time. The company has a number of very dedicated
clients, and last year they generated $2 million in revenue. What type of software should Jace use?
The type of software should Jace use will be "Entry level accounting system" as his company has 17 employees who work full time. The company has a number of very dedicated clients, and last year they generated $2 million in revenue.
What is entry level accounting system?Entry-level accounting includes typical accounting operations such as accounts payables and receivables, as well as basic financial reporting. These are, predictably, among the most affordable items; some sellers even provide an entry-level bundle for free for a brief time as a trial period. Entry-level accounting jobs are the initial level of accounting positions for people who are just starting out in their careers. Accounting Representative, Accounting Executive, Accounting Assistant, Accounting Associate, Entry-Level Accounting Clerk, Staff Accountant, and Bookkeeper are examples of entry-level occupations.
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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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9 + x/10 = 10
Solve for x
Answer:i had forgot
Step-by-step explanation:
Answer:4
Step-by-step explanation:
u add den subtract den divide then there
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.
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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an inverted cone has a height of 11 inches and an initial radius of 18 inches. the volume of the inverted cone is decreasing at a rate of 541 cubic inches per second, with the height being held constant. what is the rate of change of the radius, in inches per second, when the radius is 5 inches?
Answer:
-4.697 in/s
Step-by-step explanation:
You want to know the rate of change of radius of a cone 11 inches high with a radius of 5 inches and a volume that is decreasing at the rate of 541 cubic inches per second.
VolumeThe volume of a cone is given by ...
V = π/3r²h
The rate of change is found by implicit differentiation:
V' = (π/3)((2rr')h +r²h')
Here, the height is constant, so h' = 0. Solving for r', we find ...
r' = 3V'/(2πrh)
ApplicationUsing the given values of V', r, and h, we find the rate of change of radius to be ...
r' = 3(-541 in³/s)/(2π(5 in)(11 in)) = -1623/(110π) in/s ≈ -4.69652 in/s
The radius is decreasing at about -4.697 inches per second.
__
Additional comment
The initial radius of the cone is irrelevant to the problem, since we want to know the rate of change at a specific different radius. Whether the cone is inverted or not is also irrelevant to its volume.
Adam's Bikes rents bikes for $19 plus $8 per hour. Nicole paid
$67 to rent a bike. For how many hours did she rent the bike?
Answer:
6 hours.
Step-by-step explanation:
Subtract initial fee from total. (67 - 19 = 48).
Divide by the hourly rate. (48 / 8 = 6).
The bike was rented for 6 hours.
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°
In a survey of 500 women, 750 answered that they like soccer. What percentage of women answered that they don't even like soccer?
The percentage of women that answered that they don't even like soccer is 85%
How to calculate the percentage?From the information, in the a survey of 500 women, 75 answered that they like soccer. Those that don't like soccer will be the difference between the values. This will be:
= 500 - 75
= 425
Therefore, the percentage of women that answered that they don't even like soccer will be:
= Those that don't like soccer / Total number × 100
= 425/500 × 100
= 85%
The percentage is 85%.
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Complete question
In a survey of 500 women, 75 answered that they like soccer. What percentage of women answered that they don't even like soccer?
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
How do i solve this equation? 4x - 2y > 12
As per the given equation in form of inequality 4x - 2y > 12 gives the solution in intercept form as y < 2x -6, and for the given inequality x-intercept is x > 3 and y-intercept is y <-6 with slope equal to 2.
As given in the question,
Given equation in inequality form is :
4x - 2y > 12
Simplify the given equation in intercept form we get,
2y < 4x -12
⇒ y < 2x -6
If we write this inequality in equation form we have,
y = 2x -6
slope of the line is 2
x -intercept is x = 3
y - intercept is y = -6
And in inequality form x > 3 and y < -6.
Therefore, for the given equation in form of inequality 4x - 2y > 12 gives the solution in intercept form as y < 2x -6, and for the given inequality x-intercept is x > 3 and y-intercept is y <-6 with slope equal to 2.
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Use slope-intercept form to write the equation of a line that has a slope of −3 and passes through the point (1, −5).
Use the drop-down menus to select the proper value for each variable that is substituted into the slope-intercept equation.
y =
✔ –5
x =
m =
The equation of line passes through the point (1, -5) will be;
⇒ y = - 3x - 14
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point on the line are (1, -5).
And, The slope of the line is,
⇒ m = - 3
Now,
Since, The equation of line passes through the point (1, -5).
And, Slope of the line is,
⇒ m = - 3
Thus, The equation of line with slope - 3 is,
⇒ y - 1 = - 3 (x - (-5))
⇒ y - 1 = - 3 (x + 5)
⇒ y - 1 = - 3x - 15
⇒ y = - 3x + 1 - 15
⇒ y = - 3x - 14
Therefore, The equation of line passes through the point (1, - 5) will be;
⇒ y = - 3x - 14
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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.
A city doubles its size every 52 years. If the population is currently 637,100, what will the
population be in 208 years?
people
The population in 208 years based on the information is 10193600.
How to illustrate the expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.
Since the city doubles its size every 52 years. The number of times that it'll double in 208 years will be:
= 208 / 52
= 4 times
The population in 208 years will be:
= 637100 × 2⁴
= 637100 × 16
= 10193600
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