y = f(x)
Reflection, change the sign of the function
y = - f(x)
f(x) -f(x)
1 -1
2 -2
3 -3
8 -8
20 -20
The x coordinate will change.
A cylinder has a radius of 15 millimeters and a height of 17 millimeters.
What is the approximate volume of the cylinder?
O 3,004 cubic millimeters
O 3,405 cubic millimeters
O 12,017 cubic millimeters
O 13,619 cubic millimeters
Answer:
O 12,017 cubic millimeters
Step-by-step explanation:
Volume of cylinder = height x cross-section area(in this question, it's a circle) = hpr^2
17ml x (15ml)^2 x p(ill calculate it in calculator, not as 3.14)
= (approximately) 12017ml^3
in an art room there are three easels for every five children if there are 25 children how many easels are there
Given 3 easels for every 5 children
So, there are x easels for 25 children
Using the ratio and the proportional
3 : 5 = x : 25
[tex]\frac{3}{5}=\frac{x}{25}[/tex]so, solve for x
[tex]x=\frac{3\cdot25}{5}=\frac{75}{5}=15[/tex]So, the number of easels for 25 children = 15 easels
The cost in dollars) of producing a high-end plasma television sets is C = g(2) = 550 + 402. Find a formula for the inverse function g'.g-'(C)=
Given:
The function is,
[tex]g(x)=550+40x[/tex]Explanation:
Assume y = g(x). So
[tex]\begin{gathered} y=g(x) \\ =550+40x \end{gathered}[/tex]Replace variable x with y and y with x.
[tex]x=550+40y[/tex]Solve the equation for y.
[tex]\begin{gathered} x=550+40y \\ 40y=x-550 \\ y=\frac{x-550}{40} \end{gathered}[/tex]So inverse of function g(x) is,
[tex]g^{-1}(x)=\frac{x-550}{40}[/tex]If tan 0= 15/8 and cos 0= -8/17, then what is sin 0?
Enter the answer as a fraction.
Work Shown:
[tex]\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}\\\\\sin(\theta) = \tan(\theta)*\cos(\theta)\\\\\sin(\theta) = \frac{15}{8}*\left(-\frac{8}{17}\right)\\\\\sin(\theta) = \boldsymbol{-\frac{15}{17}}[/tex]
Side note: theta is in quadrant III since sin(theta) < 0 and cos(theta) < 0.
Rewrite 7.25 as a mixed number in lowest terms.
A)7 2/5
B)7 1/4
C)7 25/100
D)7 1.5
Answer:
B
Step-by-step explanation:25 as a percent is 1/4 of 100 and the seven is the whole number since they are full numbers not decimals
The volume of a cylinder is 225pi cmand its radius is 5 cm.What is the length of the cylinder's height?o 9 cmo 5 cmo 10 cmo 7 cm
The formula for the volume of the cylinder is given by:
[tex]V=\pi\cdot r^2\cdot h[/tex]Where:
r = radius
h = length of height
Substitute the given values:
[tex]225\pi=\pi\cdot(5)^2\cdot h[/tex]And solve for h:
[tex]\begin{gathered} 225\pi=\pi\cdot25\cdot h \\ \frac{225\pi}{25\pi}=\frac{25\pi h}{25\pi} \\ h=9 \end{gathered}[/tex]Answer: 9 cm
Find two supplementary angles if the measure of the first is four times the second. Helpful hint: supplementary angles have a sun of 180 degrees
Answer:
I denoted angle a by x and angle b by 4x .Hope it helps
(25xy^2+75xyz+125x^2yz) / (-5x^2y)
(long division)
The answer of the long division is( -5/x)(y+3a+5x).
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things.We are aware of the quantity of apples and the amount of money in the aforesaid problem.acc to our question-
(25xy^2 + 75xyz +125x^2yz)]/(-5x^2y)[(25xy)(y+3z+5x)]/(-5x^2y)=[-5(y+3a+5x)]/x=(-5/x)(y+3a+5x)hence,The answer of the long division is( -5/x)(y+3a+5x).
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I need to know the answer to this problem... 3/4(x-8)=-1/2
Answer: x=22/3
Step-by-step explanation: Combine multiplied terms into a single fraction. Distribute. Multiply all terms by the same value to eliminate fraction denominators. Cancel multiplied terms that are in the denominator. Multiply the numbers. Add 24 to both sides. Simplify. Divide both sides by the same factor. Simplify.
S varies inversely as G. If S is 4 when G is 1.8, find S when G is 6.
Given that "S" varies inversely as "G", it is an Inverse Variation Relationship. Then, it has this form:
[tex]S=\frac{k}{G}[/tex]Where "k" is the Constant of Variation.
Knowing that:
[tex]S=4[/tex]When:
[tex]G=1.8[/tex]You can substitute values and solve for "k":
[tex]\begin{gathered} 4=\frac{k}{1.8} \\ \\ (4)(1.8)=k \\ \\ k=7.2 \end{gathered}[/tex]Then, the equation that models the situation is:
[tex]S=\frac{7.2}{G}[/tex]Substituting this value of "G" into the equation and evaluating:
[tex]G=6[/tex]You get:
[tex]S=\frac{7.2}{6}=1.2[/tex]Hence, the answer is:
[tex]S=1.2[/tex]What is the difference in the y values? 62 70 72
When we look for the constant rate of change, we subtract the first two y-values in the first place:
[tex]216-144=72[/tex]Hence, the difference is 72.Mindy gets 3 dollars a week for allowance. She saved all of her allowance for 10 weeks, and then she bought a shirt for 24 dollars. How much money did
she have left?
Answer:
$6 left
Step-by-step explanation:
since she saved up for 10 weeks= 3*10
$30-$24(price of the shirt)
=$6
−9−5x>-1
2
-5
-10
Or none
Which of the following values are solutions to the inequality
Answer
If my answer is ok for you rate my answer
Answer:
-5 and -10
Step-by-step explanation:
-9-5(-5)
-9+25
=16
-9-5(-10)
-9+50
=41
Shaia has been monitoring her weight. In December, she weighed 167.5 pounds; by June the following year, she weighed 142.3 pounds. Calculate the absolute and relative change in Shaia's weight from December to June.
Step 1
Given; Shaia has been monitoring her weight. In December, she weighed 167.5 pounds; by June the following year, she weighed 142.3 pounds. Calculate the absolute and relative change in Shaia's weight from December to June.
[tex]\begin{gathered} new\text{ value=142.3} \\ reference\text{ value=167.5} \end{gathered}[/tex]Step 2
[tex]Absolute\text{ change=142.3-167.5=-25.2}[/tex][tex]\begin{gathered} relative\text{ change=}\frac{142.3-167.5}{167.5}=-\frac{252}{1675}\times100 \\ relative\text{ change=-}\frac{1008}{67}\text{ \%} \\ \end{gathered}[/tex]Answer;
[tex]\begin{gathered} Absolute\text{ change=-25.2} \\ Relative\text{ change=-15.04\%} \end{gathered}[/tex]
m1=_
50
90
70
s
P
A
C
E
Answer:
50
Step-by-step explanation:
Use the formula: m<1 = 1/2(140-40) = 50
See attachment
A survey estimates the current average cost of college to be $34,179.
(a) If the average cost of college increased by 7.4% each year, what will be the average cost of college 15 years from now?
(b) If a savings plan offers a rate of 5.4% compounded continuously, how much should be put in the plan now to pay for 1 year of college 15 years from now?
(Round to the nearest cent as needed)
Caley is trying to find the best deal on a flight from New York to Orlando. She checks the price each week and tracks how much it changes.
After 3 weeks she pay $208.10.
From the question, we have
After 3 weeks she pay =
$211.30+$22.50-$17-$8.70 = $208.10
Subtraction:
Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.
The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.
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who found roman numerals?
Answer: the ancient Romans
Step-by-step explanation:
Answer:
Step-by-step explanation:
jefferson thompson made the numberal numerebaals
housing uses 3 cups of sugar to make 36 muffins how many cups of sugar will she need to make 60 muffins
housing uses 3 cups of sugar to make 36 muffins how many cups of sugar will she need to make 60 muffins
3 per 36
36 / 3 = 12
_______________
1 cups per 12 muffins
Britta made her last monthly interest-only payment on may 5. her next
payment is due on june 5. what will be the amount of that interest-only
payment?
The amount of that interest-only payment is $21.53.
Define interestsThe term "interest" refers to the extra money an investor makes on top of their investment or the extra money a borrower owes on top of the money they've been loaned. Along with the loan itself, there is an additional sum or interest that must be paid.
Interests come in two types: simple interest and compound interest.
Given,
She has been awarded a $6,000 for 10-year federal loan at 4.29%.
First interest-only payment was done on May 5.
So, on June 5 second interest-only payment is done.
Interest she paid on May 5 is,
First Interest = [tex]\frac{6000*4.29}{12*100}[/tex]
= [tex]\frac{25740}{1200}[/tex]
= $21.45
Thus, the balance after the first interest = $6000 + $21.45
= $6021.45
Interest she paid on June 5 is,
Second Interest = [tex]\frac{6021.45*4.29}{12*100}[/tex]
= [tex]\frac{25832.02}{1200}[/tex]
= $21.53
Thus, the amount of that interest-only payment is $21.53.
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The correct question is:
Britta has been accepted into a 2-year medical assistant program at a career school. She has been awarded a $6,000 unsubsidized 10-year federal loan at 4.29%. She knows she has the option of beginning repayment of the loan in 2.5 years. She also knows that during this nonpayment time, interest will accrue at 4.29%. Britta made her last monthly interest-only payment on May 5. Her next payment is due on June 5. What will be the amount of that interest-only payment?
Find the magnitude and direction angle of the resultant of each pair of vectors.
1) m =(-15, 16) n = (2, -6)
2) t = (12, 16) u =(-12, 16)
3) m =(-17, 3) n = (8, 15)
4) a = (-6, 8) b = (19, 14)
5) t=(-12, -16) u = (15, 2)
6) a =(-8, 15) b = (16, -9)
AnsweStep-by-step explanation:
9134
A shoe store marks up the price of shoes by 35%. Jill wants to buy a pair of shoes that cost $135. What was the wholesale price?
The wholesale price of the pair of shoe Jill bought is 100 dollars.
How to find the wholesale price of the shoe?Mark up is the difference between a product's selling price and cost as a percentage of the cost.
The shoe store marks up the price of shoes by 35%. Jill wants to buy a pair of shoes that cost $135. The wholesale price of the of the shoe can be calculated as follows:
mark up % = 135 - x / x × 100
where
x = wholesale price35 = 13500 - 100x / x
cross multiply
35x = 13500 - 100x
35x + 100x = 13500
135x = 13500
divide both sides by 135
x = 13500 / 135
x = 100 dollars
Therefore,
whole sale price = 100 dollars
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Question 9 (1 point)Your new T-shirt shrank slightly when it was washed and dried. What scale factor below could best describe this dilation?abOcOd1.31.00.90.1←QX
Solution
- The shirt shrank a little. This implies that when you take the ratio of the dimensions of the shrunk shirt, and that of the original shirt.
- This would mean that the scale factor (the result from the above ratio), would be less than 1. But it would not be that much less than 1.
- Thus, the possible scale factor is 0.9
so for the trouble this is the last one. and thank everyone for your help.
I know this is discreet but unsure of the second part, of the question.
Integers are whole numbers, either positive or negative. In this scenario, the time can include fractions like 2.5. The values can range from 0 upwards
Thus, the correct option is the first one
Quadrilateral ABCD has vertices A(-3,6), B(6,0),C(9,-9), and D(0, -3). Prove that ABCD isa) a parallelogramb) not a rhombus
We have the following vertices given:
A(-3,6), B=(6,0), C(9,-9), D=(0,-3)
a) We can begin find the distance between two points using this formula:
[tex]d=\text{ }\sqrt{(x_2-x_1)^2+(y_{2\text{ }}-y_1)^2}[/tex]For this case we need to find the distance between AD and BC and using the formula given we have:
[tex]AD=\text{ }\sqrt{(0+3)^2+(-3-6)^2}=\text{ }\sqrt{90}=\text{ 3}\sqrt{10}[/tex][tex]BC=\text{ }\sqrt{(9-6)^2+(-9-0)^2}=\text{ }\sqrt{90}=\text{ 3}\sqrt{10}[/tex]We see that both distances are equal. Now we can calculate the slopes for AD and BC and we got using this formula:
[tex]m=\text{ }\frac{y_2-y_1}{x_{2\text{ }}-x_1}[/tex][tex]_{}m_{AD}=\text{ }\frac{-3-6}{0+3}=\text{ }-3[/tex][tex]m_{BC}=\frac{-9-0}{9-6}=-3[/tex]Then we can conclude that the quadrilateral is a paralellogram because it has one pair of opposite sides that both congruent and parallel
b) For this problem is not a rhombus because not all the distances AB, AC, AD, BC and CD are equal
AN ENGLISH EXAM CONSISTS OF TEN ESSAY QYESTIONS. IF A STUDENT MUST CHOOSE 4 OF THE 10 QUESTIONS HOW MANY DIFFERENT SETS OF 4 QUESTIONS ARE AVAILABLE?
Given
Number of questions in an english exam = 10
Find
Number of different sets of 4 questions are available.
Explanation
as we have given that a student must choose 4 of the 10 questions.
so , number of different set of 4 questions are available =
[tex]^{10}C_4[/tex]so ,
[tex]\begin{gathered} ^{10}C_4=\frac{10!}{4!(10-4)!} \\ \\ ^{10}C_4=\frac{10!}{4!6!} \\ \\ ^{10}C_4=\frac{10\times9\times8\times7\times6!}{4\times3\times2\times1\times6!} \\ \\ ^{10}C_4=\frac{5040}{24} \\ \\ ^{10}C_4=210 \end{gathered}[/tex]Final Answer
Hence , the number of different sets of 4 questions are available are 210
Write an equation in Standard Form that passes through the point (-8, 7) and has a slope of -3.
Answer:
3x+y=-17
Step-by-step explanation:
Standard form is written as: Ax+By=C where the slope is always -A/B
-A/B = -3/1
A= 3 and B=1
3x+y=C
Plug in point to solve for C
3(-8)+7=C
-24+7=C
-17=C
3x+y=-17
Can you explain to me why this question is wrong, and what are the right answers?
Answer:
cos(25) = sin(65)
sin(25) = cos(65)
tan(45) = tan(45)
Explanation:
To know which are the true statements, we will use the following identities
sin(θ) = cos(90 - θ)
cos(θ) = sin(90 - θ)
Therefore,
sin(25) = cos(90 - 25)
sin(25) = cos(65)
cos(25) = sin(90 - 25)
cos(25) = sin(65)
Additionally, tan(45) is equal to itself, so
tan(45) = tan(45)
Therefore, the true statements are
cos(25) = sin(65)
sin(25) = cos(65)
tan(45) = tan(45)
How far from the base of a wall must a
17-foot ladder be placed in order to
reach the top of a 12-foot wall.
The 12.04m is far from the base to wall.
How to calculate far from the base of the wall??The word "base" in mathematics is used to refer to a particular mathematical object that is used as a building block. The most common uses are the related concepts of the number system whose digits are used to represent numbers and the number system in which logarithms are defined.
Let the base of the 17ft long ladder be placed x ft away from the wall so that it exactly reaches the top of a 12- foot tall wall.
By Pythagorean theorem
12²+X²=17²
x²=17²-12²=145
x=√145=12.04
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