Is -5.4 less than -3.4 and 1.6? Yes NO
Answers
(the number line is not at scale)
We can see that -5.4 is on the left with respect to both -3.4 and 1.6, then -5.4 is less than -3.4 and 1.6
Related Questions
Given p(y)=9+6y^2and s(y)=3y^2−9y+6, find (p+s)(y). (p+s)(y)= Enter the expression in simplest form.
Answers
Solving for (p+s)(y)
[tex]\begin{gathered} (p+s)(y)=p(y)+s(y) \\ \\ \text{Substitute the given and we get} \\ (p+s)(y)=p(y)+s(y) \\ (p+s)(y)=(9+6y^2)+(3y^2-9y+6) \\ (p+s)(y)=9+6y^2+3y^2-9y+6 \\ (p+s)(y)=6y^2+3y^2-9y+6+9 \\ \\ \\ \text{Therefore,} \\ (p+s)(y)=9y^2-9y+15 \end{gathered}[/tex]The last time Brea played basketball, she made a basket 45% of the time. Based on this Information, how many times will Brea make a basket the next time she plays basketball if she's throws the ball 40 times?
Answers
Data:
basket 45% of the time
The 45% means that from each 100 times she throws the ball, 45 times she made a basket.
Then, if she throws the ball 40 times, she will made:
tb: throw ball
mb: made a basket
[tex]40tb\cdot\frac{45mb}{100tb}=18mb[/tex]She will make 18 baskets if she throw the ball 40timesVhich of the following illustrates the truth value of the given conditional statement?6.3 = 18, then 4 + 8 = 20.TFFIT-TFT-TFF-T
Answers
For this case we have the following expression given:
[tex]6>10\rightarrow8\cdot3=24[/tex]If we analyze the left part of the statement we can see that is a False Truth FT since 6 is not higher than 10
We see that the statement after the conditional is also true since 8*3=24
So then we can conclude that the best answer for this case would be:
[tex]FT\rightarrow T[/tex]For each system of linearequations shown below, dassify the system as "consistent dependent," "consistent independent," or "inconsistent." Then, choose thebest description of its solution. If the system has exactly one solution, give its solutionSystem ASystem DSystem
Answers
A system of linear equations is said to be consistent independent if the lines intersect each other only once, then there is only one solution, a system is said to be consistent dependent if the equations represent the same line and then they intersect each other in every point over the line and there are an infinite number of solutions. A system is said to be inconsistent if the lines are parlallel ad then they never intersect and there is no solution for the system.
According to the above definition, system A is consistent independent because the lines intersect only once and this means it has a unique solution.
System B is consistent dependent because both equations represent the same line and this means it has an infinite many solution.
System C is inconsistent because the lines never intersent each other and then this means system has no solution.
As you move to the left on this place value chart, you multiply by what value
Answers
Solution
Observe that as you move to the left, we have
[tex]\begin{gathered} \text{Hundredth} \\ \text{Hundredth}\times10=\text{Tenths} \\ \text{Tenths}\times10=ones \\ \text{ones}\times10=tens \\ \text{tens}\times10=Hundred \end{gathered}[/tex]Therefore, as well move to the left, we multiply by 10
OptionB
Baily has 4 and 1/2 pints of milk. she uses 2 and 1/2 cups of milk to make recipe A and 1 and 1/2 cups of milk to make recipe B. After making both recipes, how many pints of milk does Baily have? (these are 2 cups in 1 pint)
Answers
We know 2 cups = 1 pint
Let's convert the pints of milk Baily has to cups of milk.
[tex]4\frac{1}{2}\times2=9\text{cups}[/tex]For Recipe A, she uses 2 1/2 cup
For Recipe B, she uses 1 1/2 cup
That's a total of:
[tex]2\frac{1}{2}+1\frac{1}{2}=4cups[/tex]So, she has remaining:
9 cups - 4 cups = 5 cups
We want this answer in pints. So, to go from cups to pints, we divide by 2, so:
[tex]\begin{gathered} 5\text{cups is}\frac{5}{2}\text{ pints} \\ or \\ 2\frac{1}{2}\text{ pints} \end{gathered}[/tex]Answer
[tex]2\frac{1}{2}\text{ pints}[/tex]Find the surface area of this set of steps.answer is 26,940
Answers
Surface area in a ladder
There are 6 surface steps, 3 horizontal , 3 vertical
Area of 1 horizontal rectangle is : 25x 90 = 2250
then Area of 3 is 3x 2250= 6750
Area of 1 vertical rectangle is : 16 x 90 = 1440
Area of 3 verticals = 3x 1440 = 4320
NOW find area of
Floor,. 2 vertical walls,. 1 back wall
Floor area = 90 x (25+25+25) = 90x 75 = 6750
Vertical walls = 2 x 25x ( (16+16+16)+(16+16)+16) = 2x 25 x 96 = 4800
Back wall = 90x (16+16+16) = 4320
SO finally add all these 5 results
6750 + 4320 + 6750 + 4800 + 4320 =
Resulting in finally = 26,940
What is the volume of the cone to the nearest cubic meter? (Use π = 3.14) A)21 m3 B)84 m3 C)168 m3 D)335 m3
Answers
Given:
The height of the cone, h=5m.
The radius of the base of the cone, r=4 m.
The volume of the cone can be calculated as,
[tex]\begin{gathered} V=\frac{1}{3}\pi r^2h \\ V=\frac{1}{3}\times\pi\times4^2\times5 \\ V=\frac{1}{3}\times3.14\times16\times5 \\ V\approx84m^3 \end{gathered}[/tex]Therefore, the volume of the cone is 84 cu.m.
Hence, option B is correct.
Jason and Adam are using a kit to build their own Electronics board for a computer project. they use a scale drawing included in the instructions to help build the board. Jason will use the scale factor to find the boards actual length and width then multiply those Dimensions to find the board's area Adam says he knows another way
Answers
We have the following:
The area of a rectangle is calculated by multiplying the width by the length, as follows
[tex]A=w\cdot l[/tex]w = 36 and l = 50
replacing:
[tex]\begin{gathered} A=36\cdot50 \\ A=1800 \end{gathered}[/tex]A scale factor means the value that each side really represents, that is, if 1 in the plane or drawing is actually 5 times larger
Therefore,
[tex]\begin{gathered} w=36\cdot5=180 \\ l=50\cdot5=250 \end{gathered}[/tex]now, the area then would be
[tex]\begin{gathered} A=180\cdot250 \\ A=45000 \end{gathered}[/tex]The other way is that the area obtained previously is multiplied by 25 (5 squared)
[tex]\begin{gathered} A=25\cdot1800 \\ A=45000 \end{gathered}[/tex]We can see that the same result is obtained in both ways.
Solve for y in terms of x and replace y with the function notation
Answers
Given:-
[tex]y+2x^2=3-2x[/tex]To find f(x) and also f(3).
So now to find f(x) we keep y on left hand side and all other terms in right hand side
So we get,
[tex]y=3-2x-2x^2=f(x)[/tex]So the required solution is,
[tex]f(x)=3-2x-2x^2[/tex]So now to find the value of f(3). we substitute the value 3 in place of x. so we get,
[tex]\begin{gathered} f(x)=3-2x-2x^2 \\ f(3)=3-2\times3-2(3)^2 \\ f(3)=3-6-18 \\ f(3)=-3-18 \\ f(3)=-21 \end{gathered}[/tex]So the required solution is -21.
Hi, I need help with the following question regarding scatter plots, as I am not understanding it. And when I asked some tutors the same question, they couldn't help me.
Answers
Part A
A) On average, the percent efficiency decreased 16.9 percent for each unit increase in torque ratio
Part B
The percent efficiency for a cyclist who has a torque ratio of 0.11 is 21.34 percent
Explanation:The given equation for the line of best fit is:
y = -16.9x + 23.2
x represents the torque ratio
y represents the percent efficiency
The given equation is in form of y = mx + b
where the slope, m = -16.9
The y-intercept, c = 23.2
The slope m is the ratio of change in percent efficiency per unit change in torque ratio.
Since the slope, m, is negative, the percent efficiency decreased 16.9 percent for each unit increase in torque ratio
The percent efficiency for a cyclist who has a torque ratio of 0.11
Substitute x = 0.11 into the equation y = -16.9x + 23.2
y = -16.9(0.11) + 23.2
y = 21.34
The percent efficiency for a cyclist who has a torque ratio of 0.11 is 21.34 percent
Use the graph of the parabola to fill in the table .
Answers
Answer:
Explanation:
a) We want to check if the parabola opens upwards or downwards
From the image given, we can see that the parabola open downwards
b) The axis of symmetry equation is an equation in terms of x at the point that splits the parabola into 2
We have that as the equation of the line (vertical) that splits the parabola into two parts
We have that as:
[tex]x\text{ = -4}[/tex]c) The coordinates of the vertex simply refer to the coordinates of the point at which the axis of symmetry line strikes the parabola
Mathematically, we have that as:
[tex](-4,1)[/tex]d) For the x-intercept, we refer to the points at which the curve crosses or touches the x-axis
We have these points as:
[tex]-2,-6[/tex]For the y-intercept, we have the touching, crossing in respect to the y-axis
We have this as:
[tex]-3[/tex]
Matthew and history siblings reading a flower bed with an area of nine square yards if they share the job equally how many square yards of the flower bed will each child needs to weed yo
Answers
ANSWER
Each sibling will weed 2 1/4 square yards of the flower bed
EXPLANATION
The flower bed is 9 square yards. 4 people - Matthew and his 3 siblings - weed equal parts of the bed, so we have to divide the flower bed in 4:
We can divide the first 8 square yards in 4 groups of 2 yards, but the last one we have to divide it in 4, so 1/4 for each sibling. Therefore, each sibling - including Matthew - will have to weed 2 1/4 yard of the flower bed.
ExerciseWrite yes ✓ is the expression is a perfect square and no X if the expression is not a perfect square.Question:1. Define expression?
Answers
Given:
The number in table.
Required:
Determine if number si perfect sqaure or not.
Explanation:
A perfect square is a number that can be expressed as the product of two equal integers.
Answer:
answered the question.
The paper water cups near the water jugare cones of radius 2 in and height 4 inIf a water bottle of cylindrical shape has a radius of 2 in and a height of 8 in, how many full paper cups of water are required toone water bottle?
Answers
I'm reading your question
Cone volume = Pi/3 (r^2* h)
Cylinder volumen = Pi r^2 * h
r= radius
h = height
_____________________________
Assuming that the water occupies the total area of the cone and cylinder
___________________________
the total volume of water
Cylinder volumen = Pi (2)^2 * (8)
cylinder volume = 3.11 * 4*8
= 100 . 48 in^3
______________________________________
Volume per paper water cup
Cone volume = 3.14/3 ((2)^2* 4)
= 16. 746 = 16.75
_______________________-
the number of full paper cups of water = Cylinder volume/ Cone volume
= 6
____________________________________
Answer
6 full paper cups of water are required to one water bottle
___________________
Do you have any questions regarding the solution?
A bus travels in a level for 5 hours at an average speed of 20 miles per hour faster than it traveled on a winding road the time spend on the winding road was 2 hours find the average speed of the level road I’d the entire trip was 373 miles The bus speed of the level road ? Mph
Answers
We will determine the average speed traveled in the level road as follows:
First, we remember that speed multiplied by time will give us the distance.
We also have that [With last statement] the equation described in the problem is:
[tex](x+20)(5)+(x)(2)=373[/tex]Here, "x" is the average speed on the winding road, so we solve for it first:
[tex]\Rightarrow5x+100+2x=373\Rightarrow7x=273[/tex][tex]\Rightarrow x=39[/tex]Now, that we have the average speed for the winding road we calculate the average speed for the level road:
[tex]v_l=39+20\Rightarrow v_l=59[/tex]So, the average speed in the level road was 59 mph.
Use the number line for Items 6-9. What is AB?
Answers
Line AB starts from the origin (zero) and moves 8 units in the positive direction. Also it moves 12 units in the negative direction.
This means line AB is made up of a total of
8 units + 12 units = 20 units
AB = 20
Point O is the center of each circle. Assume the lines that appear tangent are tangent. What is the value of the angle 041149 to
Answers
The opposite angles of the cyclic quadrilateral are supplementary ( add up to 180)
so, 114 +x = 180
x = 180 - 114 = 66 degrees
x=66 degrees.
James left a bin in his garden to collect rainwater. He notices that 1/4 gallon of water fills 2/3 of the bin. Write an equation to find the amount of water that will fill the entire bin.
Answers
We are given in the question that:
[tex]\frac{1}{4}\text{ gallon}=\frac{2}{3}\text{ bin}[/tex]We are meant to calculate the number of gallons that will fill the entire bin, such that we can have:
[tex]x\text{ gallons}=1\text{ bin}[/tex]We know that the ratio of both expressions will give the same value, therefore, the equation that can be used to solve will be:
[tex]\frac{\frac{1}{4}}{\frac{2}{3}}=\frac{x}{1}[/tex]We can further solve to get the amount of water by cross-multiplying:
[tex]\begin{gathered} \frac{1}{4}\times1=\frac{2}{3}\times x \\ \frac{1}{4}=\frac{2}{3}x \end{gathered}[/tex]Solving, we have:
[tex]\begin{gathered} 2x\times4=3\times1 \\ 8x=3 \\ x=\frac{3}{8} \end{gathered}[/tex]Therefore, it will take 3/8 gallons to fill the bin.
The doubling time of an investment earning 4% interest if interest is compounded continuously is ? Years
Answers
Answer:
17.3 years
Explanation:
For an investment compounded continuously, the amount, A(t) in the account after a period of t is given by:
[tex]A(t)=A_oe^{rt}[/tex]• When the initial amount, Ao is doubled, A(t)=2Ao
,• Interest Rate = 4% =0.04
Substitute these values into the equation:
[tex]2A_0=A_oe^{0.04t}[/tex]We solve the equation for t:
[tex]\begin{gathered} \text{Divide both sides by }A_0 \\ \frac{2A_0}{A_o}=\frac{A_oe^{0.04t}}{A_o} \\ e^{0.04t}=2 \\ \text{Take the natural log \lparen ln\rparen of both sides} \\ ln(e^{0.04t})=\ln(2) \\ 0.04t=\ln(2) \\ \text{ Divide both sides by 0.04} \\ t=\frac{\ln(2)}{0.04} \\ t=17.3\text{ years} \end{gathered}[/tex]The doubling time is 17.3 years (rounded to the nearest tenth).
I need to make sure I got it right, please help. Thank you very much
Answers
We were given that:
[tex]\frac{6y^2+3}{y+3}+\frac{4}{y+3}[/tex]The denominator refers to the number below the line in a fraction. It is the divisor
The common denominator would refer to a denominator that is common to both terms of the expression above. We have it thus:
[tex]^{\doubleprime}y+3^{\doubleprime}[/tex]''y + 3'' is a common denominator to both terms
In how many ways can 8 people line up for play tickets?A. 8B. 40,320C. 5,040D. 823,543
Answers
ANSWER:
B. 40,320
STEP-BY-STEP EXPLANATION:
We have that there are 8 options for the first space, 7 for the next, 6 for the next and so on up to 1.
Therefore, we must multiply all the options for each space, just like this:
[tex]8\cdot7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1=40320[/tex]Which means there are 40320 different ways
simple interest interest: xp= 50000r: 1.2%t:100 days
Answers
We can use the simple interest formula to solve this problem. Our working equation is
[tex]I=P\times r\times t[/tex]where P is the principal amount, r is the interest rate, and t is the time. If we assume that the rate of this problem grows every year, we need to convert the time into years. There are 365 days in a year. Hence, to convert 100 days into years, we have
[tex]100\text{ days}\times\frac{1\text{year}}{365\text{ days}}=0.27\text{year}[/tex]Substitute the given on the given working equation and solve, we get
[tex]I=(50000)(0.012)(0.27)=162[/tex]Answer: 162
Question 2 The population of a large U.S. city is 2.900.000. Which of the following be expresses this population? 29-10 2910 29.10 29.10
Answers
ANSWER:
The correct option is:
[tex]\begin{gathered} 2.9\times10^{6\text{ }}=\text{ 2.900.000} \\ After\text{ 2 there is a point},so\text{ there }are\text{ 6 di}gits \end{gathered}[/tex]A clothing store sells pants and shirts. • The store can buy up to a total of 500 pants and shirts each month. • The store wants to buy at least as many shirts as pants. • The store wants to buy at least 100 pants each month.Which system of incqualities represents the constraints on the number of shirts. s, and number of pants. p. the store buys each month?
Answers
Let 'p' represent the number of pants and let 's' represent the umber of shirts.
Since the store can buy up to a total of 500 pants and shirts each month, the first inequality is:
[tex]s+p\le500[/tex]then, the store wants to buy at least as many shirts as pants, then this can be represented with the following inequality:
[tex]s\ge p[/tex]finally, the store wants to buy at least 100 pants each month, then:
[tex]p\ge100[/tex]therefore, the system of inequalities is:
[tex]\begin{gathered} s+p\le500 \\ s\ge p \\ p\ge100 \end{gathered}[/tex]what is the solution for x in the equation 4x-3+5=2x+7-8x
Answers
Given the following equation:
[tex]4x-3+5=2x+7-8x[/tex]You can follow the steps shown below in order to solve for "x" and find the solution:
1. Add like terms on the left side of the equation.
2. Add like terms of the right side of the equation.
Then:
[tex]4x+2=7-6x[/tex]3. Now you can apply the Addition property of equality by adding "6x" to both sides of the equation:
[tex]\begin{gathered} 4x+2+(6x)=7-6x+(6x) \\ 10x+2=7 \end{gathered}[/tex]4. Apply the Subtraction property of equality subtracting 2 from both sides of the equation:
[tex]\begin{gathered} 10x+2-(2)=7-(2) \\ 10x=5 \end{gathered}[/tex]5. Finally, you can apply the Division property of equality by dividing both sides of the equation by 10. Then:
[tex]\begin{gathered} \frac{10x}{10}=\frac{5}{10} \\ \\ x=\frac{1}{2} \end{gathered}[/tex]The solution is:
[tex]x=\frac{1}{2}[/tex]please help with this problem. need layers and total area
Answers
Given a triangular base pyramid with the following dimensions
[tex]\begin{gathered} For\text{ the lateral sides} \\ h=12m \\ b=8m \\ \text{For the base} \\ h=6.9m \\ b=8m \end{gathered}[/tex]To find the total surface area, TSA, of the triangular base pyramid, the formula is
[tex]\text{TSA}=\text{base area}+\frac{1}{2}(Perimeter\times slant\text{ height)}[/tex]The base area of the triangular base pyramid is
[tex]\text{Base area}=\frac{1}{2}bh=\frac{1}{2}\times8\times6.9=27.6m^2[/tex]For the other part of the total surface area
[tex]\begin{gathered} \frac{1}{2}(Perimeter\times slant\text{ height)}=\frac{1}{2}((8+8+8)\times12) \\ =\frac{1}{2}(24\times12)=\frac{1}{2}\times288=144m^2 \end{gathered}[/tex]The total surface area of the triangular base pyramid is
[tex]\text{TSA}=\text{base area}+\frac{1}{2}(Perimeter\times slant\text{ height)}=27.6+144=171.6m^2[/tex]Hence, the total surface area of the triangular base pyramid is 171.6m²
To find the lateral area of a triangular base pyramid, the formula is
[tex]\begin{gathered} Lateral\text{ area}=\frac{1}{2}(Perimeter\times slant\text{ height)} \\ =\frac{1}{2}((8+8+8)\times12) \\ \frac{1}{2}(24\times12)=\frac{1}{2}(24\times12)=\frac{1}{2}(288)=144m^2 \\ Lateral\text{ area}=144m^2 \end{gathered}[/tex]Hence, the lateral area of the triangular base pyramid is 144m²
9x(3x-8)Who can simplify it?
Answers
Starting with the expression:
[tex]9x(3x-8)[/tex]Use the distributive property to expand the parenthesis:
[tex]=9x(3x)+9x(-8)[/tex]Multiply the expressions in each term to eliminate both parenthesis:
[tex]\begin{gathered} =9x\cdot3x-9x\cdot8 \\ =9\cdot3\cdot x\cdot x-9\cdot8\cdot x \\ =27x^2-72x \end{gathered}[/tex]Therefore:
[tex]9x(3x-8)=27x^2-72x[/tex]what would be the reasons for the following 5 unanswered questions
Answers
For the given figure:
The reasons will be as follows:
1. Given
2. Definition of supplementary angles
3. Given
4. Transitive property
5. By the definition of the alternate angles
The function f(x)=7x+2 is one to oneFind parts A and B
Answers
a) To find the inverse function, first, we set the following equation:
[tex]y=7x+2.[/tex]Now, we solve the above equation for x:
[tex]\begin{gathered} y-2=7x, \\ \frac{y-2}{7}=x\text{.} \end{gathered}[/tex]Finally, we exchange x and y
[tex]y=\frac{x-2}{7},[/tex]and set y=f(x). Therefore,
[tex]f^{-1}(x)=\frac{x-2}{7}.[/tex]b) To verify that the above function is the inverse, we compute:
[tex]f(f^{-1}(x))andf^{-1}(f(x)).[/tex]For f(f^-1(x)), we get:
[tex]f(f^{-1}(x))=f(\frac{x-2}{7})=7\frac{x-2}{7}+2=x-2+2=x.[/tex]For f^-1(f(x)) we get:
[tex]f^{-1}(f(x))=f^{-1}(7x+2)=x.[/tex]Answer:
Part A:
[tex]f^{-1}(x)=\frac{x-2}{7}.[/tex]Part B:
[tex]f(f^{-1}(x))=f(\frac{x-2}{7})=x.[/tex][tex]f^{-1}(f(x))=f^{-1}(7x+2)=x.[/tex]