Answers
Answer:
Question 3
d. No, because the TV is too tall
Question 4
b. 77
Step-by-step explanation:
Question 3
The TV diagonal is 80"
Let W be the width of the TV, H the height
Because the aspect ratio W/H = 4/3, the height is less than the width and H = 3/4W
The diagonal of the TV can be determined by the Pythagorean formula
[tex]D = \sqrt{W^2 + H^2}[/tex]
Express H in terms of W
[tex]D = \sqrt{W^2 + \left(\dfrac{3}{4}W\right)^2}\\\\\\= \sqrt{W^2 + \dfrac{9}{16}W^2}\\\\= \sqrt{\dfrac{25}{16}W^2}\\\\= \dfrac{5}{4}W\\\\We are given that D = 80"\\\\So \dfrac{5}{4}W = 80"\\\\W = \dfrac{4}{5} \times 80 = 64"\\\\The height is given by \dfrac{3}{4}W =\dfrac{3}{4} \times 64 = 48"\\\\[/tex]
The height of the available area is only 47" so the TV wont fit. The width appears OK though it will be a tight fit since width of TV and width of area are both 64"
Question 4
Note: All percentages converted to decimals first by dividing by 100
Average of 3 tests = (86 + 78 + 40)/3 = 68
Weighted average= 68 x 0.45 = 30.6
Average of 4 quizzes = (96 + 91 + 94 + 99) = 95
Weighted Average = 95 x 0.20 = 19
Classwork Average = 95
Weighted Average = 95 x 0.05 = 4.75
Final Exam = 76
Weighted value = 76 x 0.30 = 22.5
Total Weighted Score = 30.6 + 19 + 4.75 + 22.5 = 76.85 which rounded to the nearest integer is 77
Answer is b,
Related Questions
Write the ratio as a ratio of whole numbers in lowest terms $2.00 to $0.80
Answers
Ratio given is $2.00 : .80
To simplify, you can move your decimal point over 2 to the right to remove the decimals and then simplify
2.00 ➡️ 200
.80 ➡️ 80
200:80 divide both by 40
5:2 is your simplified ratio
HELP PLEASEEEEEEEEE!!!!!!!! ILL MARK BRAINLIEST
Answers
Answer:
(-3)³, (-2)⁴, (-2)³, 3⁰, -3², -2⁴
Scott is 72 inches tall and Chris is 185 centimeters tall. Who is taller? Show your work. How do we convert this?
Answers
SOLUTION:
Step 1:
In this question, we are given the following:
Scott is 72 inches tall and Chris is 185 centimeters tall.
Who is taller? Show your work.
Step 2:
Scott is 72 inches tall
and
Chris is 185 centimeters tall
Converting cm to inches, we have that:
[tex]\begin{gathered} 1\operatorname{cm}\text{ = }0.393701\text{ inch} \\ 185\text{ cm = 185 x 0.393701 = }72.\text{ 834685 }\approx\text{ 72. 8 inch} \end{gathered}[/tex]CONCLUSION:
Since Chris' height = 72.8 inch tall and Scott's height = 72 inch tall
Hence, Chris is taller.
Hello, I need some assistance with this homework question, please? This is for my precalculus homework. Q8
Answers
Part A (Domain and Range)
Domain
The domain is the set of all the values of x for which the function represented by the graph is defined. From the graph:
(A)The domain of the function is:
[tex]\lbrace x|-\inftyRangeThe range is the set of all the values of y for which the function represented by the graph is defined. From the graph:
(A)The range of the function is:
[tex]\lbrace y|-\inftyPart B (Intercepts)(A)The x-intercepts of the function are:
[tex]x=1.4,-1.4[/tex](A)The y-intercept of the function is:
[tex]y=-1[/tex]Part C
The horizontal asymptote is at:
[tex](A)y=-2[/tex]Part D
The vertical asymptotes are at:
[tex](A)x=-2,2[/tex]Part E
The oblique asymptote is usually slant.
From the graph, there are no obliques asymptotes.
Option B is correct here.
ANGLES what is x,need quick please
Answers
Answer: x = 68
Step-by-step explanation:
Because the 22 degrees and x make up a complementary angle (add up to 90 degrees) we can subtract 22 from 90 to get x.
90-22 = 68
If (ax + 3)(bx + 4) = 6x 2+ cx + 12 for all values of x, and a + b = 5, what are the two possible values for c ?
Answers
Answers: c = 17 and c = 18
==================================================
Explanation:
Let's expand out the left hand side and rearrange terms like shown in the steps below.
(ax + 3)(bx + 4) = 6x^2 + cx + 12
ax(bx + 4)+3(bx + 4) = 6x^2 + cx + 12
abx^2 + 4ax+3bx + 12 = 6x^2 + cx + 12
abx^2 + (4a+3b)x + 12 = 6x^2 + cx + 12
Then equate the corresponding coefficients
ab = 6 .... x^2 terms4a+3b = c .... x termsWe'll use the fact that a+b = 5. Solving for 'a' gets us a = 5-b
Plug this into the equation dealing with the x^2 coefficients.
ab = 6
(5-b)b = 6
5b-b^2 = 6
0 = b^2-5b+6
b^2-5b+6 = 0
(b-3)(b-2) = 0
b-3 = 0 or b-2 = 0
b = 3 or b = 2
If b = 3, then a = 5-b = 5-3 = 2
If b = 2, then a = 5-b = 5-2 = 3
Therefore, the solutions to this system of equations
[tex]\begin{cases}a+b = 5\\ab = 6\end{cases}[/tex]
are (a,b) = (2,3) and (a,b) = (3,2)
In other words, the answer to the question "what two numbers multiply to 6 and add to 5?" is "2 and 3". The order doesn't matter which is why we can flip the 'a' and b values.
---------------------------------
Go back to 4a+3b = c which was us equating the x coefficients.
This is the same as c = 4a+3b
Plug in a = 2 and b = 3
c = 4a+3b
c = 4*2+3*3
c = 8 + 9
c = 17 is one possible value of c.
Now let's plug in a = 3 and b = 2
c = 4a+3b
c = 4*3+3*2
c = 12 + 6
c = 18 is the other possible value of c.
Which equation that gives the rule for this table.x: 3, 4, 5, 6y: 10, 11, 12, 13A: Y= -x + 7B: Y = x + 7C:Y = 6x + 7OrD: Y= -6 + 7
Answers
To solve this problem we can evaluate te terms in the table in each equation so:
For A) y = -x + 7
we replace (3,10)
[tex]\begin{gathered} 10=-3+7 \\ 10=4 \end{gathered}[/tex]So A is incorrect.
For B) y = x + 7
we replace (3,10), (4,11), (5,12) and (6,13)
[tex]\begin{gathered} 10=3+7=10 \\ 11=4+7=11 \\ 12=5+7=12 \\ 13=6+7=13 \end{gathered}[/tex]So B is the correct answer
I need help with my work
Answers
In order to determine the price per orange, calculate the quotient in between 3.78 and 14:
3.78/14 = 0.27
Hence, one orange costs $0.27
Homework 3.4: Compound InequalitiesScore: 10.38/1811/18 answeredQuestion 6<>04Give the interval that describes the set of values shown above.
Answers
Give the interval that describes the set of values shown above
The interval marked in blue has the following features:
* Starts with a filled blue dot at x=2
* Ends with a filled blued dot at x=4
* Runs from x=2 to x=4 with a blue line
The filled dots indicate that the endpoints are included in the interval
The line indicates that all the values in between the interval are included in the interval
There are two basic forms to indicate an interval with included endpoints:
* A pair of values (the endpoints) comma-separated included in a pair of brackets:
Interval: [2,4]
* The closed interval indicated by inequalities signs:
[tex]2\leq x\leq4[/tex]What's the next term in the sequence of 1, 8, 27, 81, 243?
Answers
The next term in the sequence of 1, 8, 27, 81, 243 is 729.
What is a sequence?
Sequences are ordered collections of numbers, often known as "terms," such as 2,5,8. There are some sequences that adhere to a particular pattern that allows for endless extension. For instance, 2,5,8 adheres to the "add 3" pattern, thus we may now continue the process. There are formulas for sequences that show us where to find any given term.
It might be good to separate each phrase into its component parts to solve this problem:
1, or 3^0, is a factor of 1.
8 is 2^3
27 is 3^3
81 is 3^4
243 is 3^5
The likelihood of the following phrase is 3^6, or 729.
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What are the correct answers the drop down both say negative or positive
Answers
Given the data set:
(-8,-10) (6, -1), (-5,-7),(3, -2) (10, 0) (4,-3) (-3,-6) , (9, 1)
We will graph the points to find the slope of the line of best fit for the data
The graph will be as shown in the following figure:-
As shown, the given points are the dots of blue color
The line of best fit is the dashed red line
As shown, the line has a positive slope and a negative y-intercept
So, the answer will be:
The line of best fit for the data will have a positive slope and a negative y-intercept value.
In a study of bluetits 12 birds were trapped and their masses and wing spans were measured. The data collected are shown in this table. Calculate the estimated standard deviation for the mass of the bluetits, showing your answer to 3 significant figures.
Answers
The standard deviation of the mass of the bluetits to 3 significant figures is 1.30.
What is the standard deviation?Standard deviation is used to determine the variation of a dataset. Standard deviation is the spread of a data from the mean of the dataset. The higher the value of the standard deviation, the greater the spread of the dataset.
In order to determine the standard deviation, take the following steps:
Determine the mean of the mass : (9.9 + 9.8 + 12.2 + 13.3 + 11.8 + 10.2 + 12. 3 + 12.9 + 9.2 + 10.3 + 10.7 + 12.1) / 12 = 11.225
Determine the difference between each value and the mean and then square the result and then find the square root. The answer gotten is the standard deviation. 1.30
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Solve. ln(–x + 1) – ln(3x + 5) = ln(–6x + 1) –0.67 or 2 option 1 –1.58 or 0.14 option 2–0.14 or 1.58 option 3–2 or 0.67 option 4
Answers
SOLUTION
We want to solve
[tex]\ln \mleft(-x+1\mright)-\ln \mleft(3x+5\mright)=\ln \mleft(-6x+1\mright)[/tex]This becomes
[tex]\begin{gathered} \ln (-x+1)-\ln (3x+5)=\ln (-6x+1) \\ \ln (-x+1)-\ln (3x+5)-\ln (-6x+1)=0 \\ \text{From laws of logarithm } \\ \ln \frac{(-x+1)}{(3x+5)}\times\frac{1}{(-6x+1)} \\ \ln \frac{(-x+1)}{(3x+5)(-6x+1)}=0 \end{gathered}[/tex]Since ln 1 = 0, we have
[tex]\begin{gathered} \ln \frac{(-x+1)}{(3x+5)(-6x+1)}=\ln 1 \\ \text{Canceling }\ln ,\text{ we have } \\ \frac{(-x+1)}{(3x+5)(-6x+1)}=1 \\ (-x+1)=(3x+5)(-6x+1) \end{gathered}[/tex]Expanding the equation in the right hand side we have
[tex]\begin{gathered} (-x+1)=(3x+5)(-6x+1) \\ (-x+1)=-18x^2+3x-30x+5 \\ -x+1=-18x^2+3x-30x+5 \\ -18x^2+3x-30x+5=-x+1 \\ -18x^2+3x-30x+x+5-1=0 \\ -18x^2-26x+4=0 \end{gathered}[/tex]Solving the quadratic equation we have
[tex]-18x^2-26x+4=0[/tex]We have
[tex]x=-1.58\text{ or }x=0.14[/tex]Hence, the answer is option 2
hurry help DUE TONIGHT Based on the figure, which equation is true? Show your work.
Answers
Okay, here we have this:
Considering the provided figure, that we know an angle, the leg opposite a is an angle and we want to know the hypotenuse, we can use the trigonometric ratios since it is a right triangle, so we obtain the following:
The trigonometric ratio that relates an angle, its opposite leg and the hypotenuse is the sine, therefore that is the one we will use, so we have:
[tex]\begin{gathered} \sin (\vartheta)=\frac{Opp}{Hyp} \\ \sin (32)=\frac{8.5}{x} \end{gathered}[/tex]Finally we obtain that the correct answer is the first option (A).
Find the least common multiple (LCM) of 12 and 18
Answers
Answer:
0.0[infinitely reprating] 1 is the smallest
Answer:
36
Step-by-step explanation:
LCM of 12 and 18 is the smallest number among all common multiples of 12 and 18. The first few multiples of 12 and 18 are (12, 24, 36, 48, 60, 72, 84, . . . ) and (18, 36, 54, 72, . . . ) respectively
Select the expressions that are equivalent to - 7(f - 4).
Answers
you can multiply each term of the parentheses by -7
[tex]\begin{gathered} -7(f-4) \\ (-7\times f)+(-7\times-4) \\ -7f+28 \end{gathered}[/tex]Find the exact value using a half angle identity: cos 7 pi/8
Answers
Answer:
[tex]\cos \frac{7\pi}{8}=-\frac{1}{2}\sqrt[]{2+\sqrt[]{2}}[/tex]Explanation:
Given
[tex]\cos \frac{7\pi}{8}[/tex]Using the identity:
[tex]\begin{gathered} \cos (\frac{7\pi}{2\times4})=\pm\sqrt[]{\frac{1+\cos\frac{7\pi}{4}}{2}} \\ \\ =-\sqrt[]{\frac{1+\frac{1}{\sqrt[]{2}}}{2}} \\ \\ =-\sqrt[]{\frac{2+\sqrt[]{2}}{4}} \\ \\ =-\frac{1}{2}\sqrt[]{2+\sqrt[]{2}} \end{gathered}[/tex]In the diagram, CD 1 AC, BE 1 AC, AE = 17, BE = 8, and CD = 32. Find DE. 32 D В E 8 17 A 45 51 O 68 O 35 Question 3 1 pts a HE
Answers
Input data
AE = 17
BE = 8
CD = 32
Procedure
[tex]\begin{gathered} \frac{AD}{AE}=\frac{CD}{BE} \\ \frac{AD}{17}=\frac{32}{8} \\ AD=17\cdot\frac{32}{8} \\ AD=68 \end{gathered}[/tex]
Now for DE
[tex]\begin{gathered} AE+DE=AD \\ DE=AD-AE \\ DE=68-17 \\ DE=51 \end{gathered}[/tex]The answer would be DE=51
11x+4<15 or 12x-7>25
Answers
Answer:
Step-by-step explanation:
11x + 4 < 15 or 12x - 7 > 25
-4 -4 +7 +7
11x < 11 or 12x > 32
11 (divide) 11 | 12 (divide) 12
x < 1 or x > 2.7
hope this is right!
help meeee pleasee!!!
thank youu
Answers
Answer:
Domain: A, [1, 7]
Range: [-4, 2]
Step-by-step explanation:
The domain is the set of x-values and the range is the set of y-values.
Determine whether the relation {(6, –3),
(4, 1), (7, –2), (–3, 1)} is a function. Explain.
Answers
Answer:
A ifs it's not right sorry
What is the point-slope form of equation of the line that passes through the point (-1, -4) and has a slope of 3?
Answers
Answer:
y - (-4) = 3(x - (-1)
Step-by-step explanation:
Answer:
y−4=−3(x+1)
Step-by-step explanation:
Help mee pleasee!!
thank you <3
Answers
The linear equation that models the average price of a new home in terms of the year x is given by y = -5600x + 294000 and the average price of a new home would be $238000 in 2014.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The line must pass through points (0, 294000) and (7, 288400) which is given in the question.
We have to determine the slope of the line :
m = (y₂ - y₁)/(x₂ -x₁ )
m = (288400- 294000)/(7 -0)
m = -5600
This represents new home per year
So with your y-intercept of 294000, your equation becomes
y = -5600x + 294000
Using this equation to predict the average price of a new home in 2014.
Let y be the average price of a new home in the year x, where x = 0 represents the year 2004.
Substitute the value of x = 10 for the year 2014
y = -5600(10) + 294000
y = -56000 + 294000
y = 238000
Hence, the average price of a new home would be $238000 in 2014.
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Find the missing coordinates to complete the following ordered-pair solutions to the given linear equation.y + 4x = 6(a) (-1, )(b) (4, )....
Answers
SOLUTION
Write out the given linear equation
[tex]y+4x=6[/tex]For the first ordered pair,
[tex]\begin{gathered} (-1,\text{?)} \\ x=-1,y=\text{?} \end{gathered}[/tex]Substitute the value of x into the linear equation to find the value of y
[tex]\begin{gathered} y+4x=6 \\ y+4(-1)=6\ldots\text{.}\ldots(\text{expand the paranthesis )} \\ y-4=6\ldots\ldots(\text{add 4 to both sides )} \\ y-4+4=6+4 \\ y=10 \\ \text{The ordered pair is (-1,10)} \end{gathered}[/tex]a). Therefore For the first ordered pair, the missing coordinate y is 10
Similarly, for the second ordered-pair
[tex]\begin{gathered} (4,\text{?)} \\ x=4,y=\text{?} \end{gathered}[/tex]Substitute the value of x into the linear equation to obtain the value of y
[tex]\begin{gathered} y+4x=6 \\ y+4(4)=6 \\ \text{Expand the parenthesis} \\ y+16=6 \\ \text{subtract 16 from both sides } \\ y+16-16=6-16 \\ y=-10 \\ \text{Ordered pair=(4,-10)} \end{gathered}[/tex]b). Therefore for the second ordered pair, the missing coordinates y is -10
The amount of $In each The amount of $ Total
Answers
Let Lydia invest $x
Half of her stock pays 11% dividend.
So mathematically the amount will be
[tex]\frac{x}{2}\times\frac{11}{100}=\frac{11x}{200}[/tex]With the other half, she pays stocks in 14% interest
So mathematically
[tex]\frac{x}{2}\times\frac{14}{100}=\frac{14x}{200}[/tex]Her total annual interest is $420
So
[tex]\frac{11x}{200}+\frac{14x}{200}=420\Rightarrow25x=84000\Rightarrow x=3360[/tex]She invested $3360 in total
And $1680 in each.
Select the correct answer.
What is the completely factored form of this polynomial?
x² + 12x²+32
OA.
O B. (x²+4)(x² + 8)
(x + 4)(X + 8)
O C.
O D.
(x²+4)(x + 2)(x + 4)
(x + 2)(x-2)(x² + 8)
G
Reset
Answers
Factor form of the polynomial (x+8)(x+4)
What is Polynomial?
A polynomial is an equation made up of coefficients and indeterminates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables. x2 4x + 7 is an illustration of a polynomial with a single indeterminate x.
Given polynomial,
x² + 12x+32
x² + 4x + 8x +32
x(x+4) + 8(x+4)
(x+8)(x+4)
Hence, The completely factored form of this polynomial is (x+8)(x+4)
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Given the sum of the interior angles is 12,600 of a regular polygon, determine the following:
The number of sides =
Each interior angle =
Each exterior angle =
Sum of the exterior angles =
Answers
Answer:
72 sidesinterior angle: 175°exterior angle: 5°exterior angle total: 360°Step-by-step explanation:
Given a regular polygon whose interior angles total 12,600 degrees, you want to know the number of sides, the measures of each interior and exterior angle, and the sum of the exterior angles.
Angle sumThe sum of angles of a convex polygon is given by the formula ...
angle sum = 180° × (n -2)
where n is the number of sides.
ApplicationSubstituting the given angle sum, we can solve for n:
12,600 = 180(n -2)
70 = n -2 . . . . . divide by 180
72 = n . . . . . . . add 2
The regular polygon has 72 sides.
Interior angleThe interior angles of a regular polygon are congruent, so each one is ...
12,600°/72 = 175°
Each interior angle = 175°.
Exterior angleThe exterior angle at a vertex is the supplement of the interior angle there:
180° -175° = 5°
Each exterior angle = 5°.
Sum of exterior anglesThe 72 exterior 5° angles have a total of ...
72 × 5° = 360°
Sum of the exterior angles = 360°.
__
Additional comment
The invariant with convex polygons, regular or not, is that the sum of exterior angles is 360°. This fact is what gives rise to the formula for interior angles.
positive exponents.2) (22). 2)
Answers
To find the result we are going to use the following rule:
[tex](a^m)^n=a^{mn}[/tex]and
[tex]a^m\cdot a^n=a^{m+n}[/tex]Then:
[tex]\begin{gathered} ((2^2)^4\cdot2^3)^4=(2^8\cdot2^3)^4 \\ =(2^{11})^4 \\ =2^{44} \end{gathered}[/tex]Therefore the result is:
[tex]2^{44}[/tex]i dont know how to do these please help
Answers
Answer:
Step-by-step explanation:
the formula for this is PV= nRT
where, P=Pressure, V= Volume, n = Number of moles, R= Molar gas constant, T=Temperature
for this question, P AT S.T.P= 101325 Nm^-2, V= ?, n= 1.35 mol, R= 8.31,
T= 273k
fixing the values into the formula we have,
[101325][V]=[1.35][8.31][273]
make V the subject of formula
V= [1.35][8.31][273]/101325
V= 3062.65/101325
V= 0.03 cm^3
solve for y = x + 8 for x
Answers
x = y - 8
