Answer:
A. No solution/0
Step-by-step explanation:
Step 1: Distribute
8x + 47 = 8x + 40
These 2 equations have the same slope but different y-intercepts. This means that the 2 lines are parallel. There will be no solution to this problem.
Raj was friends with his waitress so he left her a 90 percent tip.
Percents
90%
10% 10%
Total
100%
10%
10%
10%
10%
10%
10%
10%
10%
10%
х
If his tip was $27.54, what is the value of x in the table above?
$24.48
$24.79
$27.54
$30.60
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Answer:
The bill was 30.60 before tip
Step-by-step explanation:
x * 90 % = 27.54
Change to decimal form
x * .90 = 27.54
Divide each side by .90
x = 27.54 /.90
x =30.60
Answer:
the answer is 30.60
Step-by-step explanation:
lmk if dat right!
A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola yequals25minusxsquared. What are the dimensions of the rectangle with the maximum area? What is the area?
Answer:
The answer is "[tex]\bold{\frac{32}{3}}\\[/tex]"
Step-by-step explanation:
The rectangle should also be symmetrical to it because of the symmetry to the y-axis The pole of the y-axis. Its lower two vertices are (-x,0). it means that
and (-x,0), and (x,0). Therefore the base measurement of the rectangle is 2x. The top vertices on the parabola are as follows:
The calculation of the height of the rectangle also is clearly 16-x^2, (-x,16,-x^2) and (x,16,-x^2).
The area of the rectangle:
[tex]A(x)=(2x)(16-x^2)\\\\A(x)=32x-2x^3[/tex]
The local extremes of this function are where the first derivative is 0:
[tex]A'(x)=32-6x^2\\\\32-6x^2=0\\\\x= \pm\sqrt{\frac{32}{6}}\\\\x= \pm\frac{4\sqrt{3}}{3}\\\\[/tex]
Simply ignore the negative root because we need a positive length calculation
It wants a maximum, this we want to see if the second derivative's profit at the end is negative.
[tex]A''\frac{4\sqrt{3}}{3} = -12\frac{4\sqrt{3}}{3}<0\\\\2.\frac{4\sqrt{3}}{3}= \frac{8\sqrt{3}}{3}\\\\\vertical \ dimension\\\\16-(\frac{4\sqrt{3}}{3})^2= \frac{32}{3}[/tex]
PROBLEM 6. 10 A histogram has mean 70 and standard deviation 5 If the histogram is not bell shaped but it is symmetric. Find the least proportion of data falls between 70 and 80 If the histogram is bell shaped. Find the proportion of data between 65 and 77
Answer:
a. 0.4772 = 47.72 %
b. 0.7605 = 76.05 %
Step-by-step explanation:
What we must do is calculate the z value for each value and thus find what percentage each represents and the subtraction would be the percentage between those two values.
We have that z is equal to:
z = (x - m) / (sd)
x is the value to evaluate, m the mean, sd the standard deviation
a. ind the least proportion of data falls between 70 and 80 If the histogram is bell shaped:
So for 70 copies we have:
z = (70 - 70) / (5)
z = 0
and this value represents 0.5
So for 80 copies we have:
z = (80 - 70) / (5)
z = 2
and this value represents 0.9772
p (70 > x > 80) = 0.9772 - 0.5
p (70 > x > 80) = 0.4772 = 47.72 %
b. Find the proportion of data between 65 and 77
So for 65 copies we have:
z = (65 - 70) / (5)
z = -1
and this value represents 0.1587
So for 77 copies we have:
z = (77 - 70) / (5)
z = 1.4
and this value represents 0.9192
p (65 > x > 77) = 0.9192 - 0.1587
p (65 > x > 77) = 0.7605 = 76.05 %
A company borrows $60,000 by signing a $60,000 8% 6 year note that requires equal payments of $12979 at the end of each year. The first payment will record interest expense of $4800 and will reduce principal by
Answer: $8179
Step-by-step explanation:
The principal is the amount of money that is invested at a particular interest rate.
In this scenario, we are informed that a company borrows $60,000 by signing a $60,000 8% 6 year note that requires equal payments of $12979 at the end of each year.
Since the first payment will record interest expense of $4800, then for us to get the amount that the principal will be reduced by, we subtract the interest expense made from the equal payments that are made at each year end. This will be:
= $12979 - $4800
= $8179
Please answer this correctly
Answer:
1/7, 14.3%
Step-by-step explanation:
Since out of the 7 numbers, only one of them is 3
Therefore only 1/7 meet the standards, in percent form it is 14.3%
We are given 7 different numbers.
There is only one 3 section.
So, 1/7 is a 3 section.
1/7 = 0.1428
0.1428 * 100% = 14.28%
Therefore, the answer is roughly 14.3%
Best of Luck!
URGENT! WILL GIVE BRANLIEST!!! THX TO THOSE WHO ARE WILLING TO TAKE A LOOK. :) 2 QUESTIONS
If the tangent ratio of 0 is 12/5 which angle is 0
FIRST IMAGE
What is the tangent ratio of angle X? SECOND PICTURE
A) tan0=xy/yz
B) tan0=xy/xz
C) tan0=yz/xz
D) tan0=yz/xy
Answer:
1. tan J
2. D. tan(∠x) = yz/xy
Step-by-step explanation:
1. Remember that tangent is opposite over hypotenuse. So 12 has to be opposite of x point. The only point suitable would be point J. Therefore, your answer is for tan∅ is tan J.
2. Same concept here as in 1. Extra: If tan is sin∅/cos∅ on the unit circle, that means yz would have to be sin and yx would have to be cos.
The computer rendering of a mural in a town's square uses
the function represented in the table to define the outline of
a mountain in the town's logo, where x is the distance in
feet from the edge of the mural and f(x) is the distance from
the ground in feet.
How can the point (12, 16) be explained?
The highest point of the mountain defined by the
function is 12 feet.
The highest point of the mountain defined by the
function is 16 feet.
The width of the base of the mountain defined by the
function is 12 feet.
The width of the base of the mountain defined by the
function is 16 feet.
f(x)
-16
4
8
0
10
8
12
16
20
--16
Answer:
B
The highest point of the mountain defined by the function is 16 feet.
ED 2020
Step-by-step explanation:
The highest point of the mountain defined by the function is 16. Therefore, option B is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
From the given information, we have;
The distance in feet from the edge of the mountain is given as the independent variable, x
The distance in feet from the ground (which is the height) is given the as the dependent variable f(x)
Therefore, given that the point (12, 16) are the values of x and f(x) such that x = 12 and f(x) = 16 and 16 is the largest value of f(x) in the data, therefore, 16 represents the highest defined point of the mountain.
Therefore, option B is the correct answer.
To learn more about the function visit:
https://brainly.com/question/28303908.
#SPJ2
"Your question is incomplete, probably the complete question/missing part is:"
The computer rendering of a mural in a town’s square uses the function represented in the table to define the outline of a mountain in the town’s logo, where x is the distance in feet from the edge of the mural and f(x) is the distance from the ground in feet. How can the point (12, 16) be explained?
A) The highest point of the mountain defined by the function is 12 feet.
B) The highest point of the mountain defined by the function is 16 feet.
C) The width of the base of the mountain defined by the function is 12 feet.
D) The width of the base of the mountain defined by the function is 16 feet.
A company sells bikes that are light and fast. The revenue earned over a period of x years can be represented by the function, S(x) = 100x3 + 6x2 + 97x + 215. The cost of manufacturing the bikes can be represented by the function, C(x) = 88x + 215. Which function, P(x), describes the profit earned from the sales of the bikes over a period of x years?
Answer:
The first choice
Step-by-step explanation:
The selling Price is S(x) = 100x^3 + 6x^2 + 97x + 215
The cost = C(x) = 88x - 215
The Profit = S(x) - C(x) = 100x^3 + 6x^2 + 9x
The answer is The First Choice
Answer:
I agree! It's answer A.) P(x) = 100x3 + 6x2 + 9x
Step-by-step explanation:
The function for the profit earned from the sales of the bikes over a period of x years can be calculated by subtracting the cost of manufacturing in x years from the revenue earned.
To find P(x), subtract C(x) from S(x).
Which expression is equivalent to
squrt 64a^6
Answer:
Dear user,
Answer to your query is provided below
8a^6 is the expression equivalent to √64a^2
Step-by-step explanation:
Explanation of the same is attached in image
Can someone please help me?
Answer:
''0 is neither a rational number nor an irrational number.''
Step-by-step explanation:
Zero is a rational number. Zero can be written as a fraction, where p/q = 0, where p = 0 and q is any non-zero integer. Hence, 0 is a rational number.
In the figure, if the measure of 21 = 112°, what's the measure of 212?
Answer:
For this question, we can assume that the lines are parallel.
Step-by-step explanation:
This means that angle 1 is congruent to angle 11.
Afterwards, we know that angle 11 + angle 12 equal a straight line, or 180º.
If angle 11 is congruent to angle 1, that means measure angle 11 = 112º.
Then, we subtract 112 from 180 which would give us 68.
Therefore, the answer is 68º.
Which transformations of the graph of f(x) = -4x result in the graph of f(x) = 4x +3?
1 . reflection over the x-axis and shifted 3 units to the left
2. reflection over the y-axis and shifted 3 units to the right
3. reflection over the y-axis and shifted 3 units to the left
4. reflection over the x-axis and shifted 3 units to the right
Answer:
Option 1
Step-by-step explanation:
If you flip the sign on the coefficient on x, then it will be a reflection over the x-axis. The + 3 is a trick. Make sure you don't forget that you flip the sign to see the direction you are moving the graph horizontally. In this case, it would be moving to the left, so your 1st option is correct.
Answer:
the first option is correct! just did the exam and got it right
Step-by-step explanation:
How can you get coefficients that are equal for X?
3x + 2y = 12
6x + 3y = 21
Step-by-step explanation:
To make the coefficient of x equal we can multiply both sides of (1) by 2. the answer is B
How did the temperature change if: at first it increased by 25 % and then decreased by 40% ?
Please help!!
Answer:
At first it increases by 25%, then you have 1.25x the original temp. A drop of 40% gives you .6 x 1.25, or 75% of the original temperature
Step-by-step explanation:
found that on the web for yuh. I really hope it helped.
Answer:
decreased by 25%
Step-by-step explanation:
The length of the bar for a high jump competition must always be 4.75 m. Express this measurement in millimeters. Explain your thinking. Include an equation with an exponent in your explanation.
1 m = 103 mm
4.75 m = 4.75 x 103 mm
PLEASE HELP it’s a difficult question and i’m almost done :(
Answer:
C & E
Step-by-step explanation:
hope it'll help you. if you need the explanation, just comment
A store is giving a refund of 5 cents for every aluminum can returned. I bring in 56 cans. How much do i get for the cans?
Answer:
$2.80
Step-by-step explanation:
Basically, you just need to multiply the number of cans by 0.05. This can be represented by the equation x * 0.05. We can fill in the value of x to now solve.
1. 56 * 0.05 = 2.8
2. $2.80
Hope this helps! (Please consider giving brainliest)
A student sets up the following equation to convert a measurement. Fill in the missing part of the equation
Answer:
We have the equation:
(14 N/mm)*X = Y N/cm
So we want to transform 1/mm to 1/cm.
We know that:
10mm = 1cm
1 = 10mm/1cm (we want to have mm on the numerator, so it cancelates with the mm in the denominator)
then the conversion is from 1/mm to 1/cm is:
X = 10mm/cm
then we have:
(14N/mm)*(10mm/cm) = 140 N/cm
Find the vertex of the graphed function.
f(x) = |x-4| +3
AY
00
6
4
2
Y
4
The vertex is at
Answer:
The x-coordinate is the solution to x - 4 = 0, which is x = 4 and the y-coordinate is 3 so the answer is (4, 3).
pls help with this plsssssss
Answer:
x = 13
Step-by-step explanation:
We know that the angle across from 85° is 85° because of vertical angles. We also know that the 98° also has the same interior angle on the other parallel line because both lines are parallel. We subtract 96 from 180 to find the vertical angle for the right side of the triangle, which comes out to be 82°. Lastly, we solve x + 82 + 85 = 180 and we should get 13 as our answer.
The sum of deviations of the individual data elements from their mean is a. always equal to zero. b. always greater than zero. c. always less than zero. d. sometimes greater than and sometimes less than zero, depending on the data elements.
Answer:
a. always equal to zero.
Step-by-step explanation:
The mean is the sum of the values of all elements in a data-set divided by the size of the data-set.
For the sum of deviations, we sum(if positive) or subtract(if negative) all the elements with the mean.
Doing this, the result will always be 0.
Simple example:
Data set: {5,7}
Mean: 6
(5 - 6) + (7 - 6) = -1 + 1 = 0
So the correct answer is:
a. always equal to zero.
Rhea obtained a CO-OP credit working at a computer store. They have now hired her for a summer job with the store. She makes $8/hour, plus a 5% commission on sales.
Which expression best describes Rhea's total earnings? Explain.
a) E = 8h + 5s b) E = 8h + .50s
c) E = 8h + .005s d) E = 8h + 0.05s
Rhea worked 15 hours last week and made $260 in total. What were her total sales in computers for the week?
Why do you think employers offer commissions to their employees? Do you think there are any potential problems with this form of earnings?
Answer:
d) E = 8h + 0.05s
Her total sales in computers for the week is $2800.
Step-by-step explanation:
Let Rhea's hourly pay =h
She makes $8/hour, therefore sales for h hours =$8h
Let the volume of sales = s
She also earns 5% commission on sales = 5% of s = 0.05s
Therefore, the expression which best describes Rhea's total earnings:
(D) E=8h+0.05s
Rhea worked 15 hours last week and made $260 in total.
h=$15
From the formula
260=8(15)+0.05s
0.05s=260-8(15)
0.05s=140
s=2800
Her total sales in computers for the week is $2800.
Employers offer commissions to their employees to motivate them to seek to make sales rather than just passing time.
In so far as the sales commission do not eat up the profit of the business, there are no potential problems with this form of earnings
EASY MIDDLE SCHOOL MATH WITH INSTANT BRAINIEST AND MANY POINTS, PLZ HELP!!!
Answer:
Second option is the correct choice. See the explanation below.
Step-by-step explanation:
[tex]A=\frac{bh}{2}\\\\\mathrm{Switch\:sides}:\\\\\frac{bh}{2}=A\\\\\mathrm{Multiply\:both\:sides\:by\:}2\\\\\frac{2bh}{2}=2A\\\\hb=2A\\\\\mathrm{Divide\:both\:sides\:by\:}b;\\\\\frac{hb}{b}=\frac{2A}{b}\\\\h=\frac{2A}{b}[/tex]
Best Regards!
Answer:
[tex]h = \frac{2A}{b} [/tex]
Option B is the right option.
Solution,
[tex]a = \frac{bh}{2} \\ 2a = bh(cross \: multiplication) \\ 2a = b \times h \\ h = \frac{2A}{b} [/tex]
hope this helps...
Good luck on your assignment..
Rewrite the following linear equation in slope-intercept form. Write your
answer with no spaces.
Y-5=3(x+1)
Answer:
y = 3x +8
Step-by-step explanation:
Solve for y, simplify.
y -5 = 3(x +1)
y -5 = 3x +3 . . . . eliminate parentheses
y = 3x +8 . . . . . . add 5
Can someone please explain how to do this problem? The websites instructions are very poor. Rewrite [tex]\frac{2}{x^{2} -x-12}[/tex] and [tex]\frac{1}{x^{2}-16 }[/tex] as equivalent rational expressions with the lowest common denominator.
Answer: x = -5
Step-by-step explanation:
If you factor each denominator, you can find the LCM.
[tex]\dfrac{2}{x^2-x-12}=\dfrac{1}{x^2-16}\\\\\\\dfrac{2}{(x-4)(x+3)}=\dfrac{1}{(x-4)(x+4)}\\\\\\\text{The LCM is (x-4)(x+4)(x+3)}\\\\\\\dfrac{2}{(x-4)(x+3)}\bigg(\dfrac{x+4}{x+4}\bigg)=\dfrac{1}{(x-4)(x+4)}\bigg(\dfrac{x+3}{x+3}\bigg)\\\\\\\dfrac{2(x+4)}{(x-4)(x+4)(x+3)}=\dfrac{1(x+3)}{(x-4)(x+4)(x+3)}\\[/tex]
Now that the denominators are equal, we can clear the denominator and set the numerators equal to each other.
2(x + 4) = 1(x + 3)
2x + 8 = x + 3
x + 8 = 3
x = -5
TotCo is developing a new deluxe baby bassinet. If the length of a newborn baby is normally distributed with a mean of 50 cm and a standard deviation of 5 cm, what should be the interior length of the bassinet to ensure that 99 percent of newborn babies will fit, with a safety margin of 10 cm on each end of the bassinet
Answer:
The interior length of the bassinet to ensure that 99 percent of newborn babies will fit = 1.7 cm
Step-by-step explanation:
Explanation:-
step(i):-
Given mean of population = 50 cm
standard deviation of Population = 5 cm
Given Margin of error = 10 cm
The Margin of error is determined by
[tex]M.E = \frac{Z_{\alpha } S.D}{\sqrt{n} }[/tex]
Step(ii):-
Given level of significance ∝ = 99 % or 1 %
Z₀.₀₁ = 2.576
[tex]10 = \frac{2.576 X 5}{\sqrt{n} }[/tex]
[tex]\sqrt{n} = \frac{2.576 X 5}{10}[/tex]
√n = 1.3
squaring on both sides , we get
n = 1.69≅ 1.7 cm
Final answer:-
The interior length of the bassinet to ensure that 99 percent of newborn babies will fit = 1.7 cm
What is the area of a shape with points a 5 -8 b 11, -8 c 11,0 d 6,-3 e 4,-3
Answer:
Area of the given figure is 51.5 square units.
Step-by-step explanation:
Area of rectangle OCBH = Length × width
= 11 × 8
= 88 square units
Area of trapezoid OGEF = [tex]\frac{1}{2}(b_1+b_2)\times h[/tex]
= [tex]\frac{1}{2}(\text{GE+OF)}\times (\text{OG})[/tex]
= [tex]\frac{1}{2}(3+6)\times 4[/tex]
= 18 units²
Area of trapezoid GCDE = [tex]\frac{1}{2}(\text{GC+DE)}\times (\text{GE})[/tex]
= [tex]\frac{1}{2}(7+2)\times 3[/tex]
= 13.5 units²
Area of triangle AFH = [tex]\frac{1}{2}(\text{Base})\times (\text{Height})[/tex]
= [tex]\frac{1}{2}(5)(2)[/tex]
= 5 units²
Area of polygon ABCDEF = Area of rectangle CBHO - (Area of trapezoid OGEF + Area of trapezoid GCDE + Area of triangle AFH)
= 88 - (18 + 13.5 + 5)
= 88 - 36.5
= 51.5 units²
Therefore, area of the given polygon is 51.5 units²
Given f(x) = 1/x+4 and
g(x) = 8/x-1, find the given domain of f(g(x)).
Answer:
he domain of the composition is all real x values except for x = -1
In other words: [tex]\left \{ x \, |\, x \neq -1} \right \}[/tex]
Step-by-step explanation:
Let's find the composition [tex]f(g(x))[/tex] in order to answer about its domain (where on the Real number set the function is defined), give the two functions:
[tex]f(x)= \frac{1}{x+4}[/tex] and [tex]g(x)=\frac{8}{x-1}[/tex] :
[tex]f(g(x))=\frac{1}{g(x)+4} \\f(g(x))=\frac{1}{\frac{8}{x-1} +4} \\f(g(x))=\frac{1}{\frac{8+4(x-1)}{x-1} }\\f(g(x))=\frac{x-1}{8+4x-4} \\f(g(x))=\frac{x-1}{4+4x} \\[/tex]
This rational function is defined for every real number except when the denominator adopts the value zero. Such happens when:
[tex]4+4x=0\\4x=-4\\x=-1[/tex]
So the domain of the composition is all real x values except for x = -1
Use the law of sines to complete an expression that represents the angle measure x. Geometry
Answer:
a = 14.9
b = 75
c = 22.5
Step-by-step explanation:
The equation given is just the law of sines converted into terms of x.
Kathy owns a farm house which contains 'birds and cows. There are 25 animals
which includes 70 legs. Find the number of birds.
Answer:
There are 10 cows and 15 birds :)
Step-by-step explanation:
4(10)+2(15)=70
