Answers
We know that there are 3 feet in 1 yard, so:
27 feet < 8 yards.
Related Questions
On Giana's map of Texas, there is a close up view of the Dallas/Fort Worth area. She sees that from Dallas to Fort Worth is 4 centimeters. If 1 centimeter represents 9.7 miles, what is true distance between the cities?
Answers
On Giana's map of Texas, the close up view of the Dallas/Fort Worth area has 38.8 miles in actual
In the above question, it is given that
On Giana's map of Texas, there is a close up view of the Dallas/Fort Worth area, she sees the distances between Dallas to Fort Worth
Here are Giana's observations, she found
The distance from Dallas to Fort Worth = 4 centimeters
Also, 1 centimeters = 9.7 miles
Then we need to find the distance 4 centimeters will cover in actual
So, the distance from Dallas to Fort Worth in actual will be = 4 x 9.7 = 38.8 miles
Hence, On Giana's map of Texas, the close up view of the Dallas/Fort Worth area has 38.8 miles in actual
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Remote Assignment 1-5 Score: 37/100 3/8 answered Progress saved Done Question 4 < > B0/13 pts 10 A BX bisects ZABC. If m ZABC = 9 x + 18 and mZCBX = 5 x + 7, find the value of mZABX. Submit Question
Answers
When a ray bisects an angle, it divides said angle in half. This means that the two new created angles will have the same measurement and when added they should be equal to the larger one. With this in mind we can find mABX as shown below:
[tex]\begin{gathered} \measuredangle ABC=\measuredangle ABX+\measuredangle CBX \\ \measuredangle ABX=\measuredangle ABC-\measuredangle CBX \end{gathered}[/tex]We were given the values for mABC and mCBX, so we use those in the expression above and solve for the value of mABX. We have:
[tex]\begin{gathered} \measuredangle ABX=9x+18-(5x+7) \\ \measuredangle ABX=9x-5x+18-7 \\ \measuredangle ABX=4x+11 \end{gathered}[/tex]The value of mABX is "4x + 11".
The volume of a right circular cone is 36 pi units^3 If the height of the cone is 12 units,what is the radius of the cone?
Answers
The radius of the cone is 3 units
Here, given the volume of a right circular cone and the height of the cone, we want to get the radius of the cone
Mathematically, we need the formula for the volume of a right circular cone
We have this formula as;
[tex]V\text{ = }\frac{1}{3}\times\pi\times r^2\times h[/tex]We substitute the value of the volume and the height as follows;
[tex]\begin{gathered} 36\pi\text{ = }\frac{1}{3}\times\pi\times r^2\times12 \\ \frac{108\pi}{12\pi}=r^2 \\ \\ r^2\text{ = 9} \\ r\text{ = }\sqrt[]{9} \\ r\text{ = }\pm3\text{ units} \\ \text{radius cannot be negative so r = 3 units} \end{gathered}[/tex]Bamboo plants grow rapidy. A bamboo plant is 120 inches tailTomorrow it will be 134.2 inches tall, the next day it will be 148.4 inches tall, and on the next day it will be1626 inches tall. Which of the following models best illustrates this situation?
Answers
From the question
The Bamboo plant growth can be shown bellow
[tex]120,134.2,148.4,162.6[/tex]We are to find an equation that models the grwoth
The growth can be simplified as follows
[tex]\begin{gathered} Day1=120\text{ inches tall} \\ \text{Day 2 = 134.2 = (120 + 14.2) inches tall} \end{gathered}[/tex]also
[tex]\begin{gathered} \text{Day 3 = 148.4 = 120 + 28.4 = 120 +2(14.2)} \\ \text{Day 4 = 162.6 = 120 + 42.6 =120 + 3(14.2)} \end{gathered}[/tex]Therefore we can conclude that the function is
[tex]f(x)=120+14.2x[/tex]Where x is number of days
The principal represents an amount of Principal Rate Compounded Time money deposited in a savings account subject to compound interest at the $6000 2% annually 2 years given rate. A. Find how much money there will be in the account after the given number of years. B. Find the interest earnedA. The amount of money in the account after 2 years is $ B. The amount of interest earned is $
Answers
Given
Principal
6000
Rate
2%
Compounded
Annually
Time
2 years
Procedure
Compound Interest Equation
[tex]A=P(1+r/n)^{nt}[/tex]Where:
A = Accrued Amount (principal + interest)
P = Principal Amount
I = Interest Amount
R = Annual Nominal Interest Rate in percent
r = Annual Nominal Interest Rate as a decimal
r = R/100
t = Time Involved in years, 0.5 years is calculated as 6 months, etc.
n = number of compounding periods per unit t; at the END of each period
First, convert R percent to r a decimal
r = R/100
r = 2%/100
r = 0.02 per year,
Then, solve our equation for A
A = P(1 + r/n)^(n)
A = 6,000.00(1 + 0.02/1)^((1)(2))
A = $ 6,242.40
Summary:
The total amount accrued, principal plus interest,
from compound interest on an original principal of
$ 6,000.00 at a rate of 2% per year
compounded 1 times per year
over 2 years is $ 6,242.40.
I = 6242,40 - 60000
I = 242.40
Interes would be $242.4
Simplify your answer and state it as a mixed number
Answers
The total pound of the trail mix will be the sum of the pounds of peanuts, pounds of chocolate candies and pounds of dried fruits.
The following information is provided in the question:
[tex]\begin{gathered} \text{Pounds of peanuts=1}\frac{1}{4} \\ \text{Pounds of chocolate candies=}\frac{2}{5} \\ \text{Pounds of dried fruits=}\frac{3}{20} \end{gathered}[/tex]Thus, we have:
[tex]\begin{gathered} 1\frac{1}{4}+\frac{2}{5}+\frac{3}{20} \\ \frac{5}{4}+\frac{2}{5}+\frac{3}{20} \end{gathered}[/tex][tex]\begin{gathered} \frac{25+8+3}{20} \\ \frac{36}{20} \end{gathered}[/tex]By simplifying to lowest terms, decide both the numerator and denominator by 4. We have:
[tex]\begin{gathered} \frac{9}{5} \\ 1\frac{4}{5} \end{gathered}[/tex]Hence, the correct option is Option A
Make the following conversions.5 pounds 16 ounces toa. Ounces: ozb. Pounds: lb
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Solution:
Note that 1 pound is equivalent to 16 ounces. So the conversion factors that we can use, are the following:
To convert from ounces to pounds, we multiply the number of ounces by the following conversion factor:
[tex](\frac{1\text{ lb}}{16\text{ oz}})[/tex]thus, to convert 16 ounces to pounds, we carry out the following operation:
[tex](\frac{1\text{ lb}}{16\text{ oz}})\text{ 16 oz = 1 lb}[/tex]now, to convert from pounds to ounces, we multiply the number of pounds by the following conversion factor:
[tex](\frac{16\text{ oz}}{1\text{ lb}})[/tex]thus, to convert 5 pounds to ounces, we carry out the following operation:
[tex](\frac{16\text{ oz}}{1\text{ lb}})5\text{ lb= 80 oz}[/tex]
so that, we can conclude that the correct answer is:
5 pounds are 80 ounces
16 ounces are 1 pound
Consider the following inequality.x + 3 > 6Step 1 of 2: Write the solution using interval notation.
Answers
Recall that the inequality x>b in interval notation is:
[tex](b,\infty).[/tex]Subtracting 3 to the given inequality we get:
[tex]\begin{gathered} x+3-3>6-3, \\ x>3. \end{gathered}[/tex]Which in interval notation is:
[tex](3,\infty)\text{.}[/tex]Answer:
[tex](3,\infty).[/tex]5×65= 9 is this correct
Answers
For this problem we have the following expression given:
[tex]5\cdot65=9[/tex]And we can conclude that it's incorrect since:
[tex]5\cdot65=325[/tex]And 325 is not equal to 9
The cube of the sum of six and a number express in a mathematical expression and is it linear or non linear ?
Answers
EXPLANATION:
The cube of the sum of 6 is equal to 18 and any number can form any mathematical expression, but that does not mean that it is a line, because both the value of 18 and that other number must maintain a constant pattern that allows obtaining a straight line.
Something linear is means a trend or pattern that is involved with that other value in a process.
Find the amount given the following:Amount of each deposit:$10,200Deposited: quarterly Rate: 10%Time in years: 6
Answers
Solution:
Given:
[tex]\begin{gathered} P=\text{ \$10,200} \\ n=4\text{ (compounded quarterly)} \\ r=10\text{ \% = }\frac{10}{100}=0.1 \\ t=6 \end{gathered}[/tex]
To get the amount, we use the formula below;
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]Substituting the values into the formula,
[tex]\begin{gathered} A=10200(1+\frac{0.1}{4})^{4\times6} \\ A=10200(1+0.025)^{24} \\ A=10200(1.025)^{24} \\ A=10200\times1.025^{24} \\ A=18,449 \end{gathered}[/tex]Therefore, the amount is $18,449.00
Can someone please explain how to find the coordinates? I’m really confused. Thanks! :)
Answers
The locations of the points in rectangular form are, respectively:
A(x, y, z) = (0, 0, 0) B(x, y, z) = (0, 0, 50) C(x, y, z) = (0, 60, 0) D(x, y, z) = (60, 0, 60) E(x, y, z) = (0, 80, 80) F(x, y, z) = (60, 40, 80)How to represent location of points according to rectangular system of coordinates
In this problem we must describe the locations of six points in a rectangular system of coordinates. Herein we define rectangular points as points with 3 coordinates related to each orthogonal axis. This kind of points are defined below:
(x, y, z)
Where:
x - Distance from the origin along the x-axis.y - Distance from the origin along the y-axis.z - Distance from the origin along the z-axis.Now we proceed to describe the location of each point:
A(x, y, z) = (0, 0, 0)
B(x, y, z) = (0, 0, 50)
C(x, y, z) = (0, 60, 0)
D(x, y, z) = (60, 0, 60)
E(x, y, z) = (0, 80, 80)
F(x, y, z) = (60, 40, 80)
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hello I'm in need of some help on this homework question please thank you
Answers
Given:
An equation is:
[tex]5x+11=5x+missing\text{ number}[/tex]Required:
Find the missing number so the equation has infinitely many solutions.
Explanation:
The equation consists of equal expression on both sides of the equation has an infinite solution.
Thus the equation becomes for an infinite solution as:
5x + 11 = 5x+11
Thus the missing number will be 11.
Final
9. Jack sells furniture for homes. Jacks is paid an 8.3% commission on all sales. Last month, Jack sold $42,513 worth of furniture. What was his commission?
Answers
Jack sells furniture for homes. Jacks is paid an 8.3% commission on all sales. Last month, Jack sold $42,513 worth of furniture. What was his commission?
we know that
8.3%=8.3/100=0.083
so
Multiply $42,513 by 0.083 to obtain his commission
$42,513*(0.083)=$3,528,58
therefore
the answer is
$3,528,58Referring to the figure, match the translation of quadrilateral ABCD to quadrilateral A'B'C'D' by using the vector (0,1) a. A'(6,1), B'(2,1), C'(1,-2), D'(-3,-2) b. A'(-5,-1), B'(-1,-1), C'(-2,-4), D'(-6,-4) c. A'(-4,3), B'(0,3), C'(-1,0), D'(-5,0) d. A'(-4,0), B'(1,0), C'(0,-3), D'(-4,-3)
Answers
To translate the quadrilateral using the given vector, we will add the vector coordinates to the coordinates of the vertices of the shape.
The vertices of ABCD have the following coordinates:
[tex]\begin{gathered} A\to(-4,2) \\ B\to(0,2) \\ C\to(-1,-1) \\ D\to(-5,-1) \end{gathered}[/tex]If we add the vector (0, 1) to the vertices, we have:
[tex]\begin{gathered} A^{\prime}\to(-4,2+1)=(-4,3) \\ B^{\prime}\to(0,2+1)=(0,3) \\ C^{\prime}\to(-1,-1+1)=(-1,0) \\ D^{\prime}\to(-5,-1+1)=(-5,0) \end{gathered}[/tex]Therefore, the correct option is OPTION C.
when the integer is negative , the cube of the integer is ?
Answers
When an integer is negative, its cube is also negative because the exponent is odd.
Choose the expression that uses the greatest common factor and the Distributive Property to rewrite 66 + 78.
O 2(33 +39)
O
3(22+26)
6(11 +13)
O 8(7 + 9)
Answers
The expression that used the greatest common factor and the Distributive Property to rewrite 66 + 78.is 6(11 +13)
How to determine the required expressionThe information given in the problem include
66 + 78.
The problem asks to find the greatest common factor gcf then use it to write the given expression showing the distributive property of multiplication
The distributive property of multiplication is as below
ab + ac = a ( b + c )
The gcf of 66 and 78 is 6
= 66 + 78
= 6 * 11 + 6 * 13
= 6 ( 11 + 13 )
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hellppppwhat's the missing number? 7/16 = ?/64a) 4b) 21c) 28d) 55
Answers
Let x represent the missing number, and you'll now have;
[tex]\begin{gathered} \frac{7}{16}=\frac{x}{64} \\ \text{Cross multiply and you have;} \\ 7\times64=16x \\ \text{Divide both sides by 16} \\ \frac{7\times64}{16}=\frac{16x}{16} \\ 7\times4=x \\ 28=x \end{gathered}[/tex]Therefore, the missing number is 28
A teaspoon of salt has a mass of 6 grams. What is its mass in milligrams?0) 600 milligrams60 milligrams0) 6.000 milligrams60.000 milligrams Ten points if you get this pls
Answers
1 milligram = 0.001 gram
x milligrams = 6 grams
By crossmultiplying, it becomes
0.001 * x = 6 * 1
0.001x = 6
x = 6/0.001
x = 6000
The mass in milligrams is 6000 milligrams
help me with this question
Answers
p = The doctor prescribed medicine
q = The patient has recovered
The doctor did not prescribe medicine:
[tex]˜p[/tex]The patient recovered:
[tex]q[/tex]The truth table is given by:
Answer:
A
Patrick is manipulating the expression: 5(2x-3). He does the following steps.
Step #1: 5(2x)-5(3)
Step #2: (5.2)x-5 (3)
Step # 3: 10x15
(a) Write the properties that Patrick uses in Step #1 and Step #2
(b) Test the equivalency of these two expressions for x=4. show fhs substitution for both.
5 (2x - 3)
10x - 15
Answers
In linear equation, x = -1 is the value of x in equation .
What are instances of linear equations?
Ax+By=C represents a two-variable linear equation in its standard form. A standard form linear equation is, for instance, 2x+3y=5.Finding both intercepts of an equation in this form is rather simple (x and y).When resolving systems of two linear equations, this form is also incredibly helpful.A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.a) 5( 2x - 3 ) -3( 3x - 7 ) = 5
10x - 15 -9x + 21 = 5
x + 6 = 5
x = 5 - 6
x = -1
b) x= 4
5 (2x - 3) = 5 ( 2 * 4 - 3 )
= 5 ( 8 - 3 ) ⇒ 5 * 5 = 25
10x - 15 = 10 * 4 - 15
= 40 - 15 ⇒ 25
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5. Solve the problem,Two pieces of production equipment for a factory were purchased for a total of$2000. If one piece cost $810 more than the other find the price of the lessexpensive piece of equipmentExpress your answer in whole dollars (no cents include a leading dollar sign ($inyour answer
Answers
Let x and y represent the price of two pieces of production equipments.
Given;
Two pieces of production equipment for a factory were purchased for a total of
$2000.
[tex]x+y=2000------1[/tex]If one piece cost $810 more than the other;
[tex]x-y=810-------2[/tex]We now have a simultaneous equation.
Solving for x and y. let us Add equation 1 to 2 to eliminate y;
[tex]\begin{gathered} x+x+y-y=2000+810 \\ 2x=2810 \\ x=\frac{2810}{2} \\ x=1405 \end{gathered}[/tex]Let us substitute the value of x into equation 1 to get y;
[tex]\begin{gathered} x+y=2000 \\ 1405+y=2000 \\ y=2000-1405 \\ y=595 \end{gathered}[/tex]Therefore, the price of the less expensive piece of equipm
please help me, i really need it
Answers
The Algebraic expression for the area of the figure given below is 2b² - πc²/8 ,
In the question ,
a figure is given
the length is 2b
the breadth is b
So , the area of the rectangle = length * breadth
= 2b*b = 2b²
the radius of the semicircle in the figure = c/2
so the are of the semi circle = (1/2)πr²
= (1/2)π(c/2)²
The required area = area of rectangle - area of semi circle
= 2b² - (1/2)π(c/2)²
= 2b² - πc²/8
Therefore , The Algebraic expression for the area of the figure given below is 2b² - πc²/8 ,
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Hello, this is a homework assignment, will you be able to help me?
Answers
answer: E
determine whether the given lines are parallel, perpendicular or neither 2x+3y=1, 3x-2=1
Answers
Answer:
Neither
Step-by-step explanation:
Perpendicular: Slope = -1/x
Parallel: Slope = x
Perpendicular slope is negative reciprocal of original slope. Parallel slope is equal to original slope.
Make these lines into slope-intercept form.
1)
2x+3y=1
3y=-2x+1
y=-2/3x+1/3
Slope: -2/3
2)
3x=3
x=1
Slope = undefined
Undefined ≠ -2/3
negative 8 minus blank equals 2
Answers
Given:
-8 - ___ = 2
Let's find the missing value.
Let x represent the missing number.
Thus we have:
-8 - x = 2
Add 8 to both sides:
-8 + 8 - x = 2 + 8
-x = 10
Divide both sides by -1:
[tex]\begin{gathered} \frac{-x}{-1}=\frac{10}{-1} \\ \\ x\text{ = -10} \end{gathered}[/tex]Therefore the missing number is -10
-8 - (-10) = 2
ANSWER:
-10
Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(x) = and find the equation of the tangent line to f(x) at a nice" point near 0.202. Then use this to 1/0.202 approximate 1/0.202
Answers
ANSWER
[tex]\begin{equation*} 4.95 \end{equation*}[/tex]EXPLANATION
Given;
[tex]f\mleft(x\mright)=\frac{1}{x}[/tex]Now, evaluate its first derivative;
[tex]f^{\prime}(x)=-\frac{1}{x^2}[/tex]Now;
[tex]\begin{gathered} x=0.2=\frac{1}{5} \\ f(x)=5,f^{\prime}(x)=-25 \end{gathered}[/tex]Hence, we have;
[tex]l(x)=5-25(x-0.2)=5-25x+5[/tex]by substitution;
[tex]\begin{gathered} \frac{1}{0.202}=5.25(0.202-0.2) \\ =5-0.05 \\ \cong4.95 \end{gathered}[/tex]In triangle ABC, if a = 16, c = 22....
Answers
Let's first draw the triangle being described to better understand the scenario:
Step 1: Applying the Sine Law, let's first determine the measure of Angle C represented by x.
[tex]\text{ }\frac{\text{ a}}{\text{ Sine A}}\text{ = }\frac{\text{ c}}{\text{ Sine C}}[/tex][tex]\text{ }\frac{\text{ 16}}{Sine(32^{\circ})}\text{ = }\frac{\text{ 22}}{\text{ Sine (x)}}[/tex][tex]\text{ Sine(x) = }\frac{22\text{ }\cdot Sine(32^{\circ})}{16}\text{ = 0.72863898832}[/tex][tex]\text{ x = Sine}^{-1}(\text{0.72863898832)}[/tex][tex]\text{ x = }\angle C=\text{ 46.77}^{\circ}[/tex]Step 2: The sum of all interior angles of a triangle is equal to 180°, let's use this property to find the measure of Angle B represented by y.
[tex]\angle A\text{ + }\angle B\text{ + }\angle C=180^{\circ}[/tex][tex]\text{ 32 + }\angle B+46.77=180^{\circ}[/tex][tex]\angle B+78.77^{\circ}=180^{\circ}[/tex][tex]\angle B^{}=180^{\circ}\text{ - }78.77^{\circ}[/tex][tex]\angle B^{}=101.23^{\circ}[/tex]Therefore, the answer is letter C : 101.23° or 14.77°
Which of the following graphs shows a pair of lines that represent the equations with a solution (−4, 3)? (5 points)there are four graphs below
Answers
Take into account that the intersection point of two lines determine the solution to a system of two linear equations. In this case, the solution is (-4,3).
You can notice that the first option graph, the intersection point is (-4,3), -4 is the x-coordinate and 3 the y-coordinate.
Then, the answer is the first option.
use a following question to answer the questions below (the one in the picture)which way does the parabola open besides graphing explain how you can tellfind the focus by handfind the directrix by hand
Answers
We have the parabola:
[tex](y-2)^2=-24\cdot(x+5)[/tex]The equation above is a parabola in the x-axis, becuase the variable y has the square term.
We can write the equation in the following form:
[tex]x+5=-\frac{1}{24}(y-2)^2[/tex]Due the term that multiply square y is negative the parabola open to the left.
Now, we can write the general equation of a parabola and find the focus and the directrix:
[tex]\begin{gathered} \text{Focus = (x,y)=(k,p), Directrix x=b, so the distance to directix is the same to focus:} \\ \sqrt[]{(x-k)^2+(y-p)^2}=x-b \\ (x-k)^2+(y-p)^2=(x-b)^2 \\ x^2-2kx+k^2+(y-p)^2=x^2-2bx+b^2 \\ 2bx-2kx+k^2-b^2=-(y-p)^2 \\ 2(b-k)x+(k+b)(k-b)=-(y-p)^2 \\ 2(b-k)(x-\frac{k+b}{2})=-(y-p)^2 \\ x-\frac{k+b}{2}=-\frac{1}{2(b-k)}(y-p)^2 \end{gathered}[/tex]In our case, we can compare the general formula with the equation and find the values of k,p and b:
[tex]\begin{gathered} p=2 \\ -\frac{k+b}{2}=5\Rightarrow k+b=-2\cdot5\Rightarrow k=-10-b \\ -\frac{1}{2(b-k)}=-\frac{1}{24}\Rightarrow2(b-(-10-b))=24 \\ b+10+b=\frac{24}{2}\Rightarrow2b+10=12\Rightarrow2b=12-10\Rightarrow b=\frac{2}{2}=1 \\ So,k=-10-1=-11 \end{gathered}[/tex]So, p=2, k=-11 and b=1, and the focus is (k, p) = (-11, 2) and the directrix is x=b=1.