Let W = width then length = 5W + 3
Area = W(5W + 3) = 5W2 + 3W = 92
5W2 + 3W - 92 = 0 has a negative root and the positive root = 4 (by the quadratic formula)
The length = 23 and the perimeter = 2(L + W) 2 * 27 = 54
I dont know if this is right because I cant see the last part in less its like that
With one method of a procedure called acceptance sampling, a sample of items is randomly selected without replacement and the entire batch is rejected if there is at least one defective unit. The ABCD Electronics Company has just manufactured 7000 write-rewrite CDs, and 180 are defective. If 6 of these CDs are randomly selected and tested, what is the probability that the entire batch will be rejected
Answer:
[tex]P = 0.1447[/tex]
Step-by-step explanation:
Given
[tex]n = 7000[/tex] -- total
[tex]d = 180[/tex] --- defective
[tex]r = 6[/tex] --- selected
Required
The probability of rejecting the batch
This means that at least one of the selected piece is defected.
So, we first calculate the probability that all the selected piece are accepted.
So, we have:
[tex]Pr = \frac{7000 - 180}{7000} * \frac{6999 - 180}{6999}* \frac{6998 - 180}{6998}* \frac{6997 - 180}{6997}* \frac{6996 - 180}{6996}* \frac{6995 - 180}{6995}[/tex]
The denominator decreases by 1 because it is a probability without replacement; 180 is subtracted from the numerator to represent the number of non-defective CDs
So, we have:
[tex]Pr = \frac{6820}{7000} * \frac{6819}{6999}* \frac{6818}{6998}* \frac{6817}{6997}* \frac{6816}{6996}* \frac{6815}{6995}[/tex]
[tex]Pr = 0.8553[/tex]
Using the complement rule, the probability that the batch will be rejected is:
[tex]P = 1 - 0.8553[/tex]
[tex]P = 0.1447[/tex]
Suppose you buy 6 cans of peaches at $1.10 each, 5 cans of corn for $.89 each, and 3 boxes of breakfast cereal at $3.52 each. a. Write three expressions; one each that shows how to determine the total spent on peaches,
corn and breakfast cereal. (3 pts)
Si yo tendria que sumar esos numeros daria: 21.61
porque, 6x1.10= 6.60
5x0.89= 4.45
y las tres cajas de cereal 3x3.52
Find the ordered pair $(s,t)$ that satisfies the system
\begin{align*}
\dfrac{s}{2} + 5t &= 3,\\
3t - 6s &= 9.
\end{align*}
Answer:
[tex]\left(\dfrac{8}{7} , \ \dfrac{17}{35} \right)[/tex]
Step-by-step explanation:
The given system of equations is presented as follows;
[tex]\dfrac{s}{2} + 5 \cdot t = 3[/tex]
3·t - 6·s = 9
Making t the subject of both equations, gives;
In the first equation; t = (3 - s/2)/5
In the second equation; t = (9 + 6·s)/3
Equating both values of t to find the the values that satisfies both equations, gives;
(3 - s/2)/5 = (9 + 6·s)/3
3 × (3 - s/2) = 5 × (9 + 6·s)
9 - (3/2)·s = 45 + 30·s
45 - 9 = (30 + (3/2))·s
36 = (63/2)·s
s = 36/(63/2) = 8/7
t = (3 - s/2)/5
∴ t = (3 - (8/7)/2)/5 = 17/35
Therefore, the ordered pair is (8/7, 17/35)
The tens digits of a certain two-digit number is 1/3 of the units digit. When the digits are reversed, the new number exceed twice the original number by 2 more than the sum of the digits. Find the original number.
Answer:
The orginal number is 26.
Step-by-step explanation:
So the units digit can be 3 6 or 9
The tens digit can be 1 2 or 3
So the original number can be 13
31 = 2*13+ (1+3) + 2
31 =? 26 + 4 + 2
This doesn't work. The right side is 32
26
62 = 2*26 + 8 + 2
62 = 52 + 8 + 2
This is your answer.
3 and 9 won't work because 39 is odd and so is 93. The result has to be even.
PLZZZZ HELPPPPPP!!!!!!!!!!!
Answer:
5/8 boxes
Step-by-step explanation:
1/3 ⋅ 1 7/8 = ?
1/3 ⋅ 15/8 = 15/24
15/24 = 5/8
5/8 boxes
Geometry, please answer question ASAP
Answer:
D
Step-by-step explanation:
The median goes from the vertex to the midpoint of the opposite side, so
LN = NM , that is
3x - 7 = 5 ( add 7 to both sides )
3x = 12 ( divide both sides by 3 )
x = 4
Then
KL = 2x + 3 = 2(4) + 3 = 8 + 3 = 11 → D
question 22 , the triangle one
9514 1404 393
Answer:
9.1 cm
Step-by-step explanation:
Corresponding sides of similar triangles are proportional.
PQ/PR = AB/AC
PQ/21.7 = 5.2/12.4 . . . . . . . . . . . . . . fill in the given values
PQ = 21.7(5.2/12.4) . . . . . multiply by 21.7
PQ = 9.1 . . . cm
what is the lowest common denominator of 4 7 5 2 and 1
Answer:
140
Step-by-step explanation:
Lowest common denominator 4 , 7 ,5 , 2 and 1
= 4 * 7 * 5
= 140
Answer:
1
Step-by-step explanation:
Since usually common denominator is usually used with fractions (in this case), we can find out it's one because of how no numbers (except for 2 and 4) go into each other without a remainder except for one, so one would be the correct answer
Can someone please check my answers and help/explain #4
Answer:
(0,8)
Step-by-step explanation:
To get the y-intercept put all x values equal to 0 (because we want to see where y lies on the graph when x is zero.
y=2^0+3
y=2^3
y=8
The y-intercept is (0,8)
As for the rest of the answers.....
1)A) 2[tex]\sqrt{12}[/tex]-5[tex]\sqrt{3}[/tex] = 4[tex]\sqrt{3}[/tex]-5[tex]\sqrt{3}[/tex] so the final answer is -[tex]\sqrt{3}[/tex]
1B) the problem is (3-[tex]\sqrt{7}[/tex])(3+[tex]\sqrt{7}[/tex]) a quick formula to help you solve this type of problem is (a-b)(a+b)= a^2-b^2 so you transform the question to 3^2-[tex]\sqrt{7}[/tex] ^2
to get 9-7 which is 3 therefore the final answer is 3
2) when you transform a function from y=x^2-3 to y=x^2+1 the graph moves 4 units up. So the final answer is b)4 units up
Question 3a and 3b are correct
Check all that apply
Answer:
all of them are REAL numbers
1. is also RATIONAL
2. is also IRRATIONAL
3. is also IRRATIONAL
4. is also NATURAL, WHOLE, INTEGER and RATIONAL
5. is also INTEGER and RATIONAL
6. incorrect, because integer is just the whole numbers extended by their additive counterparts (the negative natural numbers). in other words, their absolute values are whole numbers. 5.5 as well as -5.5 are not fitting that criteria.
7. incorrect, because this pattern does not fit the definition of a radical number, where the number eventually begins to repeat the same finite sequence of digits over and over. in this example the pattern is not based on a finite sequence of digits.
PLEASE HELP WILL MARK BRAINLIEST!!!! You work for a consumer advocate agency and want to find the mean repair
cost of a washing machine. As part of your study, you randomly select 40
repair costs and find the mean to be $120.00. The sample standard deviation
is $17.50. The 99% confidence interval for the population mean repair cost is? A.(112.86, 127.14) B.(114.58, 125.42) C. (115.43, 124.57) D. (111.57, 128.43)
Answer:
The correct answer is - A.(112.86, 127.14)
Step-by-step explanation:
Given:
mean = $120
sd = $17.50
n = 40
Solution:
Confidence interval for a populationcan be express as mean +/- margin of error (E)
degree of freedom = n-1 = 40-1 = 39
confidence level (C) = 99% = 0.01
significance level = 1 - C = 1 - 0.01 = 0.99 = 99%
by margin of error E = t×sd/√n = 2.58*17.50/√40
= 2.58*2.76
= 7.138 or 7.14
then the lower limit of mean = mean - E = 120 - 7.14 = $112.86
and, the upper limit of population mean = mean + E = 120 + 7.14 = $127.14
The 12th term of the arithmetic sequence is 10.5. The 18th term of this sequence is 13.5. Find the common difference and the first term
Answer:
common difference is 0.5
first term is 5
Step-by-step explanation:
use the formula for the nth term of an ap Tn=a+(n-1)d
T12=10.5
T18=13.5
therefore come up with two equations
T12=a+(12-1)d
10.5=a+11d(1st equation)
T18=a+(18-1)d
13.5=a+17d(2nd equation)
then solve both as a simultaneous equation
a+11d=10.5
a+17d=13.5
-6d/-6=-3/-6
d=0.5
use one of the equations to find the first term
a+11(0.5)=10.5
a+5.5=10.5
a=10.5-5.5
a=5
I hope this helps
please mark as brainliest
Which of the following functions is graphed below?
15
10
5
-8 -6 -4 -2 0
2
4 6 8
ch
[x® -3,xs 2
A. y =
1x2 +6, x> 2
O B. y -
[x2 -3.x > 2
1x2 +6, 52
O c. y-{X-3,x<2
1x2 +6, xs 2
x < 2
O D. y =
(x² – 3, x<2
(x2 +6, x2 2
___________________A
The function that represents the inequality of the given graph is;
Option A
Graph Inequalities
From the given graph, the curve with the shaded dot shows less than or equal to because the dot indicates that the maximum input value of x is at that point.
Secondly, the curve without a shaded dot shows that the input function of x is only greater than 3.
Looking at the options, option A is right and we will prove it thus;
for y = x³ - 3
At x = 2, we see that;
y = 2³ - 3
y = 5
This corresponds with the given equation
For the second curve, for y = x² + 6;
At x = 2, we have;
y = 2² + 6
y = 4 + 6
y = 10
This corresponds with what is given and is thus correct.
Thus, option A is the correct answer
Read more about graphed inequalities at; https://brainly.com/question/11234618
Please help me find the area of the figure!!
Answer: 199 square yards
Step-by-step explanation:
If you break it down into 3 rectangles it’ll be easier to find the answer. Multiply it by H x W. First you do the 6 x 10. And then afterwards add the extra 5 to the 6 and it’ll make the
H = 11, and the W is 4. And then add the last 3 to H and it’ll make it 19 and the last W is 5
6 x 10 = 60
11 x 4 = 44
19 x 5 = 95
Total of 199
Hope this helps :)
Please explain, thank you
Answer:
C. 2.
Step-by-step explanation:
The graph descends from the left so the coefficient of the leading term is negative. It is also a cubic equation with zeros of -20, about 6.5 and about 13. so we can write the equation as below. The last 2 values can only be guessed because the x axis only shows values which are multiples of 5.
f(x) = a(x + 20)(x - 6.5)(x - 13) where a is a negative constant.
(This is only an approximation).
By the Remainder theorem, when the expression is divided by (x + 10):
f(-10) = -20 so we have
-20 = a (-10 + 20)(-10-6.5)(-10 - 13)
(10)(-16.5)(-23)a = -20
a = -20 / (10)(-16.5)(-23)
a = -0.0053
When the equation is divided by (x - 10) then f(10) is the remainder so substituting we have as the remainder:
-0.0053(10+20)(10-6.5)(10 -13)
-0.0053 * 30 * 3.5 * -3
= 1.7 approximately.
Looks like the answer is 2.
The area of triangle PQR is 231 cm2 , and PQ = 21 cm. Find the altitude SR. Help me solve this
Answer:
SR = 22 cm
Step-by-step explanation:
area = bh/2
(21 cm)(h)/2 = 231 cm^2
21h = 462 cm
h = 22 cm
SR = 22 cm
Two similar pyramids have similarity ratio 3:5 find the ratio of the areas and the ratio of the volume
Answer:
Area=9:25 Volume=81:625
Step-by-step explanation:
Should be squared, might be wrong.
if an object is bought for rupees 90 and then sold for a loss of 15% how much was it sold for
Answer:
76.50
Step-by-step explanation:
We are given the fact that you bought an object for 90 dollars, and in which you sold said object for a loss of 15%, we are then asked how much would that object be sold for.
To find the answer, we need to subtract the original amount by the percent loss, so :
90 - 15%
15% of 90 is 13.5, therefore :
90 - 13.5
76.5
Write the quadratic expressions in the numerator and the
denominator in factored form
4x^2-14x+6/
X^3-7x^2+12x
I have to give 2 Ans form my question so sorry
Can you help me on 19?
Answer:
7+k=0
7-0=k
k=7
Step-by-step explanation:
7+k=0
7-0=k
k=0
A line with slope 3 intersects a line with slope 5 at the point (10, 15). What is the distance between the x-intercepts of these two lines?
Answer:
2
y = 3x-15
y=5x-35
x1=5
x2=7
distance between = 7-5 = 2
Step-by-step explanation:
Identify one similarity and one difference between the graph of 2x + 4 and the graph of y= -1/2x + 4
Answer:
Similarity: Both graphs have same y-intercepts.
Difference: Graph 2x + 4 has a slope of 2 while the graphic -½x + 4 has a slope of -½
Step-by-step explanation:
[tex]{ \sf{y = mx + b}}[/tex]
m is the slope
b is the y-intercept
maths question please help !! thank u :)
Answer:
1350m
Step-by-step explanation:
Let the distance ran by Denise, Farah and Elaine be D, F and E meters respectively.
From the given information,
D= ⅔(E +F) -----(1)
E= ½(D +F) -----(2)
Let's get rid of the fraction so the equations are much easier to work with.
From (1):
3D= 2(E +F) (Multiply both sides by 3)
3D= 2E +2F -----(3) (Expand)
From (2):
2E= D +F -----(4)
Substitute (4) into (3):
3D= D +F +2F
3D -D= 3F
2D= 3F
Given that Farah ran 360m, F= 360.
2D= 3(360)
2D= 1080
D= 1080 ÷2
D= 540
2E= D +F
2E= 540 +360
2E= 900
E= 900 ÷2
E= 450
Total distance the 3 girls ran
= D +F +E
= 540 +360 +450
= 1350m
Alternatively, you could start by substituting F= 360 to equations (1) and (2).
Need help ASAP!!!!Make sure you can explain your answer
Answer:
see below
Step-by-step explanation:
point A(x,y) becomes A'(-x,-y).
So point E (-3,-5) becomes E'( 3,5)
F (-1,-1) becomes F'(1,1)
and G (0,-5) becomes G'( 0,5)
Can someone explain this
=========================================================
Explanation:
Let x be the unknown angle we want to find. This angle is in degrees.
The diagram shows 19 is the opposite of this angle, and the side 35 is adjacent to the angle.
We use the tangent ratio to tie the two sides together
[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(x) = \frac{19}{35}\\\\x = \tan^{-1}\left(\frac{19}{35}\right)\\\\x \approx 28.4956386\\\\x \approx 28\\\\[/tex]
Note: The notation [tex]\tan^{-1}[/tex] refers to the inverse tangent, or arctangent.
A hot air balloon is released into the air. During its straight ascent, the angle of elevation was 15° and, 3 minutes later, the angle of elevation increased 20°. How fast is the balloon traveling, in km/h, if the angle measurements were taken 300m away from the launch site?
Answer:
The speed of balloon is 0.16 m/s.
Step-by-step explanation:
BC = 300 m
AD = x
AB = y
time, t = 3 min = 3 x 60 = 180 s
By the triangle, ADC,
[tex]tan 15 = \frac{AD}{BC}\\\\0.27 \times 300 = x \\\\x = 80.4 m[/tex]
By the triangle, BDC
[tex]tan 20 = \frac{BD}{BC}\\\\0.36 \times 300 = x + y \\\\x + y = 109.2 m[/tex]
So, y = 109.2 - 80.4 = 28.8 m
Speed of balloon = 28.8/180 = 0.16 m/s
Help please URGRENTTTTT
The graph below shows a company’s profit f(x), in dollars, depending on the price of pens x in dollars sold by the company:
Part A: what do the x-intercepts and maximum value of the graph represent? What are the intervals where the function increasing and decreasing, and what do they represent about the dale and profit?
Part B: what is an approximate average rate of change of the graph from x=3 to x=5, and what does this rate represent?
Part C: describe the constraints of the domain
Answer:
Part AThe x-intercepts are reflecting zero-profit: (0, 0) and (6, 0).
The maximum value of the graph is at vertex (3, 120): maximum profit when the price is $3.
The function is increasing until the vertex, between x-value of 0 to 3 and is decreasing once it reached the vertex, between x-value of 3 to 6.
In the first interval the sale and profit increases, in the second interval the sale and profit decreases.
Part BAverage rate of change from x = 3 to x = 5 is:
(f(5) - f(3))/(5 - 3) = (60 - 120)/2 = -30This represents the profit drop of $30 per $1 price increase when price changes from $3 to $5.
Part CThe domain is representing the price. It should be profitable so it is between $0 and $6.Value of the boat after 3 years?
after each year it's 83% of it's value from last year (100%-17%=83%)
the function in 19000 * (0.83) ^x
3 will be filled in for x
19000 * (0.83) ^3= 10863.953
$10863.95
Answer:
$10,863.95
Step-by-step explanation:
y = 19,000[tex](.83)^{t}[/tex]
y = 19,000[tex](.83)^{3}[/tex]
y =$10,863.95
rational or irrational? and why
Answer:
rational, simplified number is -0.5
Step-by-step explanation:
(see screenshot)
PLEASE ELP ME ITS URGENT!!! 25 POINTS!!!!!
Write 2.4 × 1012 in standard notation.
Answer:
2,400,000,000,000
Step-by-step explanation:
2.4 x 10^12 means that the decimal point is moved 12 places to the right (hence the power of 12)
So by moving the decimal point 12 times you get this: 2,400,000,000,000
The reason why there are only 11 zeroes is because the 4 was a decimal place to the right of 2, thus losing a zero.
