Make a table of values for the function Y=-4x
Answers
The table of values for the function y = -4x.
The table is attached below-
Hence, the values for the function is giiven below
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Related Questions
The population of a city is P(t) = 4e^0.03t(in millions), where t is measured in years.(a) Calculate the doubling time of the population.(b) How long does it take for the population to triple in size?(c) How long does it take for the population to quadruple in size?
Answers
a) Doubling time of the population.
Initial population = 4
Doubling = 2 x 4 = 8
[tex]8=4e^{0.03t}[/tex]Then, solve for t:
[tex]\begin{gathered} \frac{8}{4}=\frac{4e^{0.03t}}{4} \\ 2=e^{0.03t} \end{gathered}[/tex]Apply the exponent laws:
[tex]\begin{gathered} \ln 2=0.03t \\ \frac{\ln2}{0.03}=\frac{0.03t}{0.03} \\ t=23.1\approx23 \end{gathered}[/tex]Answer a: 23 years
b) Initial population = 4
Triple the population = 3 x 4 = 12
Therefore:
[tex]\begin{gathered} 12=4e^{0.03t} \\ \frac{12}{4}=\frac{4e^{0.03t}}{4} \\ 3=e^{0.03t} \\ \ln 3=0.03t \\ \frac{\ln 3}{0.03}=\frac{0.03t}{0.03} \\ t=36.6\approx37 \end{gathered}[/tex]Answer b: 37 years
c) Initial population = 4
Quadruple the population = 4 x 4 = 16
So:
[tex]\begin{gathered} 16=4e^{0.03t} \\ \frac{16}{4}=\frac{4e^{0.03t}}{4} \\ 4=e^{0.03t} \\ \ln 4=0.03t \\ \frac{\ln 4}{0.03}=\frac{0.03t}{0.03} \\ t=46.2\approx46 \end{gathered}[/tex]Answer c: 46 years
If tan 0= 15/8 and cos 0= -8/17, then what is sin 0?
Enter the answer as a fraction.
Answers
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.
1. A cylindrical jar has a radius of 6 inches and a height of 10inches. The jar is filled with marbles that have a
volume of 20 in³. Use 3.14 for pi. Show work. Complete sentences.
a. What is the volume of the jar?
V= πr ² h
Answers
Using the formula of volume of cylinder, the volume of the jar is 1130.4 cube inches.
In the given question we have to find the volume of the jar.
From the question,
A cylindrical jar has a radius of 6 inches
So r=6 inches
A cylindrical jar has a height of 10 inches
So h=10 inches
The jar is filled with marbles that have a volume of 20 cube inches.
As we know that the volume of cylinder is
V=πr^2h
where V= volume of cylinder
r = radius
h= height
π=3.14
Putting the value
V=3.14*(6)^2*10
V=3.14*36*10
V=1130.4 cube inches
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(25xy^2+75xyz+125x^2yz) / (-5x^2y)
(long division)
Answers
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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5.32 rounded to the nearest whole number
Answers
Answer:
5
Step-by-step explanation:
Example: Anything 0.49 and under rounds to 0. Anything 0.5 and up rounds to 1.
Brainliest, Please!Given:
The number 5.32.
To find:
Its approximate value when rounded to the nearest whole number.
Explanation:
In the number: 5.32. To round it to the nearest whole number means to remove the decimal part but following the rules of approximation.
When rounding to the nearest whole number:
If the number after the decimal point is 0,1,2,3, and 4, we write the result as it is.If the number after the decimal point is 5 and above, we add 1 to the whole number part.In this case, the number after the decimal point is 3, therefore: 5.32=5
Answer: The number 5.32 rounded to the nearest whole number is 5.
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
Answers
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
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.
Answers
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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If Jalen had 109 inches of string and Kelly had 3 yards of string, who had more string?
Answers
Answer: Jalen has more string then Kelly
Step-by-step explanation:
Converting Kelly's string from yards, to inches to match up with Kelly's length of string we use the formula:
#yd = (# × 36) = total amount of "
Inputting the information in the formula, It'd look like this:
5 yd = (5 × 36) = 108"
therefore, from this information the answer to the question, is Jalen.
m1=_
50
90
70
s
P
A
C
E
Answers
Answer:
50
Step-by-step explanation:
Use the formula: m<1 = 1/2(140-40) = 50
See attachment
Hey sorry, I just need an answer and an explanation of how you did your work. I'm having trouble on this topic but there aren't many math videos that can help me at the moment. Please be as detailed as possible with your explanation so I can get a sense of how you came to your conclusion, thank you.
Answers
After using the linear regression we would have the value for a and b. a and b represent the slope (a) of a line and the y-intercept (b).
To find the values of the equation we must round the results of the linear regression to the nearest integer
a would be equal to -2 as the number -1.96341463 is nearer to -2 than -1.
b would be equal to 19 as the number 19.09756098 is nearer to 19 than 20.
The final equation would be:
y= -2x + 19
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?
Answers
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
Show that(x+1)(x+3)(x+5)can be written in the form ax^3+bx^2+cx+d where a,b,c and d are all positive integers.
Answers
The given expression : (x + 1)(x + 3)(x + 5) can be written as (x³ + 9x² + 23x + 15)
What is a expression? What is a mathematical equation? What is Equation Modelling?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the following expression -
(x + 1)(x + 3)(x + 5)
We have -
(x + 1)(x + 3)(x + 5)
x{(x + 3)(x + 5)} + 1{(x + 3)(x + 5)}
x(x + 3)(x + 5) + (x + 3)(x + 5)
(x² + 3x)(x + 5) + (x + 3)(x + 5)
x²(x + 5) + 3x(x + 5) + x(x + 5) + 3(x + 5)
x³ + 5x² + 3x² + 15x + x² + 5x + 3x + 15
x³ + 9x² + 23x + 15
which is same of the form
ax³ + bx² + cx + d
Therefore, the given expression : (x + 1)(x + 3)(x + 5) can be written as (x³ + 9x² + 23x + 15)
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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?
Answers
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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ANSWER MY QUESTIONS PLEASE .........? A paddleboat can move at a speed of 14 kilometers per hour in still water. The boat is paddled 10 kilometers downstream in a river in the same time it takes to go 5 kilometers upstream. What is the speed of the river? Round your answer to the nearest tenth. AND A woman drives an SUV that gets 13 miles per gallon (mpg). Her husband drives a hybrid that gets 60 mpg. Every week, they travel the same number of miles. They want to improve their combined mpg. They have two options on how they can improve it.
Option 1: They can tune the SUV and increase its mileage by 1 mpg and keep the hybrid as it is.
Option 2: They can buy a new hybrid that gets 85 mpg and keep the SUV as it is.
Compute and state the combined mpg for each option. Round your answers to the nearest tenth. Then tell which option will give a better combined mpg.
Answers
Answer:
Step-by-step explanation:
the suv question the first option would make the suv go from 13 mpg to 14 mpg and add 14 to 60 to get 74 and divided by 2 to get 37 is their average mpg
Options two would make the hybrid 85 mpg and the suv still 13 add them together to get 98 and divide them by 2 to get 49
Option 2 will give more mileage
paddle boat question
10/14+x=5/14-x
Cross multiply
10(14-x)=5(14+x)
140-10x=70+5x
70=15x
70/15=x
X=4.7 is the speed of the current
Please don’t quote me on this paddle boat one XD
Hopes this helps
I know this is discreet but unsure of the second part, of the question.
Answers
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
Measurement and conversion (d = rt) Mackenzies bike can go 12 mph. She needs to be at a store at 10:00 A.M.. Of the store is 20 miles away, what time will she need to leave?
Answers
We have to use the equation
[tex]d=rt[/tex]Where r = 12 mph, d = 20 miles, let's find t.
[tex]\begin{gathered} 20=12t \\ t=\frac{20}{12}=\frac{10}{6}=\frac{5}{3} \end{gathered}[/tex]She'll take 5/3 hours to get there which is equivalent to 1 2/3 hours.
Let's transform 2/3 hours to minutes to find the exact time she has to leave.
We know that 1 hour is 60 minutes.
[tex]\frac{2}{3}hr\cdot\frac{60\min}{1hr}=\frac{120}{3}\min =40\min [/tex]So, she will take exactly 1 hour and 40 minutes.
If you have to get there at 10:00 A.M., then she has to leave at 8:20 A.M.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
Answers
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
What is the difference in the y values? 62 70 72
Answers
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.S varies inversely as G. If S is 4 when G is 1.8, find S when G is 6.
Answers
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]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
Answers
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
−9−5x>-1
2
-5
-10
Or none
Which of the following values are solutions to the inequality
Answers
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
Part A:
Solve this equation 1/2x-7=1/3(x-12)
Part B:
Explain or show your reasoning.
Answers
x = 18 in the equation given in the question that is 1/2x-7=1/3(x-12).
Simple equations is a linear equation involving variables with degree one. It contains mainly one variable.
Part A -
⇒ 1/2x-7=1/3(x-12)
⇒ 1/2x-7 = x/3 - 4
⇒ x/2 - x/3 = -4 + 7
⇒ 3x - 2x/6 = 3
⇒ x/6 = 3
⇒ x = 18
Part B -
According to equation 1/2x-7=1/3(x-12) we need to find x . So, first we open the brackets on the right hand side and then bring the variables to the l.h.s and the constants to the r.h.s . After that we take the lcm of x/2 and x/3 and equate it to 3. Then we get the value of x as 18.
Hence, x = 18 in the equation 1/2x-7=1/3(x-12).
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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)
Answers
AnsweStep-by-step explanation:
9134
in an art room there are three easels for every five children if there are 25 children how many easels are there
Answers
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
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
Answers
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
Let ZD be an acute angle such that cos D = 0.64. Use a calculator to approximate the measure of ZD to the nearest tenthof a degree.m/D
Answers
Given:
[tex]\cos D=0.64[/tex]D is an acute angle
Find-:
The value of D
Explanation-:
The angle D is:
[tex]\begin{gathered} \cos D=0.64 \\ \\ D=\cos^{-1}(0.64) \\ \\ D=50.208 \end{gathered}[/tex]The value of the nearest tenth is 50.2
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
Answers
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
SOMEONE PLSS HELP FOR QUESTION 1
Answers
Answer:
triangle abc is has same degres of angles with triangle def, but def is smaller in 3 times. it's only what i know, sorry if i not help
i think yea, they has a same angles, but def smaller in 3 times so i think yes
housing uses 3 cups of sugar to make 36 muffins how many cups of sugar will she need to make 60 muffins
Answers
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
Which statement best explains whether y = 2x -3 is a linear function or a nonlinear function
Answers
y= 2x-3 is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.
Which statement best explains whether y = 2x − 3 is a linear function or a nonlinear function?
it is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line.
It is a nonlinear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are not on a straight line.
It is a linear function because the graph contains the points (−3, 0), (−1, 1), (1, 2), which are on a straight line.
It is a nonlinear function because the graph contains the points (−3, 0), (−1, 1), (1, 2), which are not on a straight line.
A linear equation has the following form:
y = mx + b
where
m is the slope
b is the y-intercept.
Given:
y = 2x - 3
by comparing it with linear equation,
y = y
m = 2
x = x
b = -3
so by this we can conclude that
y = 2x -3 is a linear function because the graph contains the points (0, −3), (1, −1), (2, 1), which are on a straight line
You can also perform a vertical line test. If the line touches your graphed function in more than one spot, it is not a function.
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