Answer:
The slope is -9/2 and the y intercept is 28
Step-by-step explanation:
We want to put this in slope intercept form
y = mx+b where m is the slope and b is the y intercept
18x + 4y = 112
Subtract 18x from each side
18x+4y-18x = -18x+112
4y = -18x+112
Divide each side by 4
4y/4 = -18x/4 +112/4
y = -9/2x + 28
The slope is -9/2 and the y intercept is 28
Answer: D)-9/2; 28
Step-by-step explanation:
A catering company uses different functions to estimate the itemized costs for a party. The table below represents the included tip for wait staff as a function of the number of guests served. A table showing Catering Cost for Wait Staff Gratuity with two columns and 6 rows. The first column has, Number of Guests, and has the entries, 10, 20, 30, 40, 50. The second column, Wait Staff Tip, has the entries, $18, $36, $54, $72, $90. If the tip varies directly with the number of guests, which equation represents the relationship between the tip, t, and the number of guests, g?
Answer:
Step-by-step explanation:
If the tip varies directly with the number of guests, it means that an increase in the amount of tip would be as a result of an increase in the number of guests and a decrease in the amount of tip would be as a result of an decrease in the number of guests.
If we introduce a constant of proportionality, k , the relationship would be
t = kg
Given that
When t = 18, g = 10, then
18 = k × 10
k = 18/10 = 1.8
Therefore, the equation representing the relationship is
t = 1.8g
Answer:
answer is a
Step-by-step explanation:
The histogram shows the number of miles drive by a sample of automobiles in New York City. Which is a reasonable explanation for the large gap in the histogram?
Answer:
The gap in the histogram simply means that: out of all the automobiles sampled, there were none with number of miles driven between 17,500 miles and 32,500 miles.
Step-by-step explanation:
The histogram in question is missing from the question. It was obtained online and is attached to this solution.
A histogram is a chart that represents numerical data using bars. The dataset is split into intervals, each interval is represented by a bar, and the number of variables in each interval makes up the frequency for that interval.
If the bars are of equal width, the height of each bar corresponds to the frequency of the interval represented by that bar. If not, the frequency is given by the area of each bar (this is the major difference between a Bar chart and a histogram).
For this question, the histogram shows the number of miles driven by a sample of automobiles in New York City, the frequency of automobiles in each interval of miles driven is presented on the y or vertical axis and the miles driven is shown on the x-axis.
It is clear that 50 automobiles are in this sample and the class width of each interval of miles driven is 5000 miles.
So, the gap in between this histogram between the interval just after 17500 miles driven and just before 32500 miles driven simply means that none of the automobiles sampled had number of miles driven within this range.
Hope this Helps!!!
please please help meee
Answer:
z = 110°
Step-by-step explanation:
Since the figures are similar then corresponding angles are congruent, thus
∠ H = ∠ D = 110°, that is
z = 110°
The defect length of a corrosion defect in a pressurized steel pipe is normally distributed with mean value 30 mm and standard deviation 7.8 mm [suggested in the article "Reliability Evaluation of Corroding Pipelines Considering Multiple Failure Modes and Time-Dependent Internal Pressure" (J. of Infrastructure Systems, 2011: 216–224)].
What values separate the largest 80% from the smallest 20% of the defect length distribution.
Answer:
[tex]z=-0.842<\frac{a-30}{7.8}[/tex]
And if we solve for a we got
[tex]a=30 -0.842*7.8=23.432[/tex]
So the value of height that separates the bottom 20% of data from the top 80% is 23.432.
Step-by-step explanation:
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(30,7.8)[/tex]
Where [tex]\mu=30[/tex] and [tex]\sigma=7.8[/tex]
For this part we want to find a value a, such that we satisfy this condition:
[tex]P(X>a)=0.80[/tex] (a)
[tex]P(X<a)=0.20[/tex] (b)
As we can see on the figure attached the z value that satisfy the condition with 0.20 of the area on the left and 0.80 of the area on the right it's z=-0.842
If we use condition (b) from previous we have this:
[tex]P(X<a)=P(\frac{X-\mu}{\sigma}<\frac{a-\mu}{\sigma})=0.20[/tex]
[tex]P(z<\frac{a-\mu}{\sigma})=0.20[/tex]
But we know which value of z satisfy the previous equation so then we can do this:
[tex]z=-0.842<\frac{a-30}{7.8}[/tex]
And if we solve for a we got
[tex]a=30 -0.842*7.8=23.432[/tex]
So the value of height that separates the bottom 20% of data from the top 80% is 23.432.
Construct the described data set. The entries in the data set cannot all be the same. The median and the mode are the same. What is the definition of median? A. The value that lies in the middle of the data when the data set is ordered. B. The sum of the data entries divided by the number of entries. C. The data entry that occurs with the greatest frequency. D. The data entry that is far removed from the other entries in the data set.
Answer:
Option A
Step-by-step explanation:
The median is the value that lies in the middle of the data when the data set is ordered.
It is also the value that separates the higher half of the dataset from the lower half of the dataset.
Answer:
B
Step-by-step explanation:
7x -5 (x +6) simplify this algebraic expression completely
Answer:
2x-30
Step-by-step explanation:
Expand: 7x-5x-30
=2x-30
Mrs. E buys a pair of jeans and receives a 35% discount. If the original price of the jeans was $55, how much does Mrs. E pay before taxes?
Answer:
40.39
Step-by-step explanation:
35% discount off 55 is 19.25
$35.75 is the answer
to calculate the tax its 13% rate in your area or what ever
1.13 x 35.75 = 40.39
I need an asnwer Tutor and the answer to this question
Answer:
[tex] \dfrac{1}{a^6} [/tex]
Step-by-step explanation:
[tex] a^{-6}x^0 = [/tex]
[tex] = \dfrac{1}{a^6} \times 1 [/tex]
[tex] = \dfrac{1}{a^6} [/tex]
one term of an arithmetic sequence is a17=82 and d=-6. write a rule for the nth term of the sequence. then find a10
Answer:
[tex]a_{10}=124[/tex]
Step-by-step explanation:
In an arithmetic sequence, we are given that:
[tex]a_{17}=82\\d=-6[/tex]
The nth term of an arithmetic sequence, [tex]a_n=a+(n-1)d[/tex]
When n=17, [tex]a_{17}=82,d=-6[/tex], we have:
[tex]a_{17}=a+(17-1)(-6)[/tex]
82=a+(16)(-6)
82=a-96
a=82+96
a=178
Therefore, the 10th term of the sequence
[tex]a_{10}=178+(10-1)(-6)\\=178+9(-6)\\=178-54\\a_{10}=124[/tex]
Pls can someone help it’s due tmrz
Answer:
Step-by-step explanation:
In a quadrilateral all the angles equal to 360 degrees
ADC= 136+90+62=288.
360-288=72
A straight line is equal to 180 degrees
CDE= 180-72=108
x=108
Answer:
the value of x is 62 degrees.
Step-by-step explanation:
we know that corresponding angles are equal, so the value of x is 62 degrees as x is an corresponding angle of 62°
What is the answer to (-9c)-4=-25
Answer:
c= 7/3
Step-by-step explanation:
To solve for c:
Simplify the equation by moving all numbers to one side and variables to the other
-9c-4=-25
-9c= -25+4
-9c=-21
Now isolate c by dividing both sides by its coefficient (-9)
c= -21/-9
Since the (-) cancel out, this simplifies to:
c= 21/9
Now reduce the fraction by dividing the right hand side by a common value of 3:
c= 7/3
Question: Sara started her homework at 5:30 p.M. And finished it at 9:15 p.M. How much time did she take to finish her homework? [ 3 marks] Show your answer in 24 hour clock system. [ 2 marks]
Step-by-step explanation:
530pm = 17:50 in 24hr/military time
915pm = 21:15 in 24hr/military time
therefore..
24hr/military time. 21:15 - 17:50 = 3.65hr
our time. 3hr 45min
It took Sarah 3 hours and 45 minutes to finish her homework
The answer in 24 hour clock system is 3:45
The calculation can be done as follows
Sarah started her home work at 5:30 pm
She finished at 9:15pm
The time range here is 3 hours, 45 minutes
Please see the link below for more information
https://brainly.com/question/24991186?referrer=searchResults
Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.
Answer:
To prove that 3·4ⁿ + 51 is divisible by 3 and 9, we have;
3·4ⁿ is divisible by 3 and 51 is divisible by 3
Where we have;
[tex]S_{(n)}[/tex] = 3·4ⁿ + 51
[tex]S_{(n+1)}[/tex] = 3·4ⁿ⁺¹ + 51
[tex]S_{(n+1)}[/tex] - [tex]S_{(n)}[/tex] = 3·4ⁿ⁺¹ + 51 - (3·4ⁿ + 51) = 3·4ⁿ⁺¹ - 3·4ⁿ
[tex]S_{(n+1)}[/tex] - [tex]S_{(n)}[/tex] = 3( 4ⁿ⁺¹ - 4ⁿ) = 3×4ⁿ×(4 - 1) = 9×4ⁿ
∴ [tex]S_{(n+1)}[/tex] - [tex]S_{(n)}[/tex] is divisible by 9
Given that we have for S₀ = 3×4⁰ + 51 = 63 = 9×7
∴ S₀ is divisible by 9
Since [tex]S_{(n+1)}[/tex] - [tex]S_{(n)}[/tex] is divisible by 9, we have;
[tex]S_{(0+1)}[/tex] - [tex]S_{(0)}[/tex] = [tex]S_{(1)}[/tex] - [tex]S_{(0)}[/tex] is divisible by 9
Therefore [tex]S_{(1)}[/tex] is divisible by 9 and [tex]S_{(n)}[/tex] is divisible by 9 for all positive integers n
Step-by-step explanation:
what is the term to term rule for the sequence: 5 10 20 40 80 PLEASE HELP ITS URGENT
In the sequence 5,10,20,40,80.. I can see that it is doubled each time.
Doubling 5 is 10, doubling 10 is 20, doubling 20 is 40, and doubling 40 is 80.
Good luck! Stay safe!
- Eli <3
Which function increases at the fastest rate between x = 0 and x = 8? A 2-column table with 5 rows titled Linear Function with the equation f of x = 2 x + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 6, 10, 14, 18. A 2-column table with 5 rows titled Exponential Function with the equation f of x = 2 Superscript x Baseline + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 3, 6, 18, 66, 258. A 2-column table with 5 rows titled Quadratic Function with the equation f of x = 2 x squared + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 10, 34, 74, 130. A 2-column table with 5 rows titled Linear Function with the equation f of x = 3 x + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 8, 14, 20, 26.
Answer:
The correct option is;
Exponential function 2ˣ + 2
x = 0, 2, 4, 6, 8
f(x) = 3, 6, 18, 66, 258
Step-by-step explanation:
The given functions are;
f(x) = 2x + 2
x = 0, 2, 4, 6, 8
f(x) = 2, 6, 10, 14, 18
f(x) = 2ˣ + 2
x = 0, 2, 4, 6, 8
f(x) = 3, 6, 18, 66, 258
f(x) = 2·x² + 2
x = 0, 2, 4, 6, 8
f(x) = 2, 10, 34, 74, 130
f(x) = 3·x + 2
x = 0, 2, 4, 6, 8
f(x) = 2, 8, 14, 20, 26
By comparison, the function that increases at the fastest rate between x = 0 and x = 8 is Exponential function 2ˣ + 2
Answer: The answer is B on edg
Step-by-step explanation:
The value of x must be greater than
B
12
0
O 1
А
15
O 3
O 7
Answer:
x > 3
Step-by-step explanation:
Given 2 sides of a triangle then the third side x will be
difference of sides < x < sum of sides , that is
15 - 12 < x < 15 + 12, so
3 < x < 27
Thus x > 3
Answer:
C. 3
Step-by-step explanation:
x > 3
Ed 2020
solve the equation x^2+4x-7=0 by completing the square. Give your answer to 2 decimal places
Answer:
x ≈ - 5.32 , x ≈ 1.32
Step-by-step explanation:
Given
x² + 4x - 7 = 0 ( add 7 to both sides )
x² + 4x = 7
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 7 + 4, that is
(x + 2)² = 11 ( take the square root of both sides )
x + 2 = ± [tex]\sqrt{11}[/tex] ( subtract 2 from both sides )
x = - 2 ± [tex]\sqrt{11}[/tex]
Thus
x = - 2 - [tex]\sqrt{11}[/tex] ≈ - 5.32 ( to 2 dec. places )
x = - 2 + [tex]\sqrt{11}[/tex] ≈ 1.32 ( to 2 dec. places )
Answer:
x=-5.32 or x=1.32
Represent 1/3 and 5/2 on the same number line.
Step-by-step explanation:
1/3 and 5/2 can be shown as:
1/3= 3/6 5/2= 15/6points with 1/6 interval on the number line:
0, 1/6, 2/6, 3/6, 4/6, ..., 15/6
Geometry, Inverse Trigonometry Find the measure of the indicated angle to the nearest degree
Answer:
? = 44 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp side/ adjacent side
tan ? = 46/48
Take the inverse tan of each side
tan ^-1 ( tan ?) = tan ^ -1 ( 46/48)
? = 43.78112476
To the nearest degree
? = 44 degrees
Hellen has 10 sweets,shelly has 30 sweets.Faith has 4 fewer sweets than the average number of sweets that hellen,shelly and faith have.How many sweets do they have altogether
Answer:
The sum of all the sweets is 54 sweets
Step-by-step explanation:
Here, we want to calculate the number of sweets the three have altogether.
Let the number of sweet Faith has be x
Mathematically;
Faith has 4 sweets fewer than the average number of sweets
The average is the sum of all the sweets divided by 3
The average will be (10 + 30 + x)/3
Thus;
(10 + 30 + x)/3 - 4 = x
(40 + x)/3 = x + 4
40 + x = 3(x + 4)
40 + x = 3x + 12
40-12 = 3x -x
28 = 2x
x = 28/2
x = 14 sweets
So the sum of all the sweets would be 10 + 30 + 14 = 54 sweets
04
Apples cost £a and bananas cost £b. Which is a correct expression for how 1 point
much 4 apples and 5 bananas cost? *
4a + 5b
4a 5b
9ab
4 + 5
Simplify fully
Answer:
4a+5b
Step-by-step explanation:
Given:
Apple=£a
Banana=£b
Quantity of Apple=4
Quantity of banana=5
Find the cost of 4 apples and 5 bananas
Total cost=PaQa+PbQb
Where,
Pa=price of Apple
Qa=quantity of Apple
Pb=price of banana
Qb=quantity of banana
Total cost=PaQa+PbQb
=4*a+5*b
=4a+5b
Write the following in ascending order a)4/10,49/100,357/10,1/1001 plz fast ,correct and plzz with explanation
Answer:
1/1001 < 4/10 < 49/100 < 357/10
Step-by-step explanation:
4/10 => 0.4
49/100 => 0.49
357/10 => 35.7
1/1001 => 0.0009
Ascending order is from smallest to the greatest.
Answer:
1/1001, 4/10, 49/100, 357/10
Step-by-step explanation:
Convert the fractions to decimals.
4/10 = 0.4
49/100 = 0.49
357/10 = 35.7
1/1001 = 0.0009
Arrange in ascending order.
0.0009, 0.4, 0.49, 35.7
Change back to fractions.
Can someone please help me I really need help please help me
Answer:
≈ 18.87 cm²
Step-by-step explanation:
The shaded area is the difference between the area of the trapezium and the semicircle.
The area (A) of the trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h( a + b)
where h is the height and a, b the parallel bases
Here h = 4 ( radius of circle), a = 14 and b = 4 + 4 = 8, thus
A = [tex]\frac{1}{2}[/tex] × 4 × (14 + 8) = 2 × 22 = 44 cm²
area of semicircle = [tex]\frac{1}{2}[/tex]πr² = [tex]\frac{1}{2}[/tex]π × 4² = 8π cm²
Shaded area = 44 - 8π ≈ 18.87 cm² ( to 2 dec. places )
Answer:≈ 18.87 cm²
Step-by-step explanation:
Answer:
≈ 18.87 cm²
Step-by-step explanation:
The shaded area is the difference between the area of the trapezium and the semicircle.
The area (A) of the trapezium is calculated as
A = h( a + b)
where h is the height and a, b the parallel bases
Here h = 4 ( radius of circle), a = 14 and b = 4 + 4 = 8, thus
A = × 4 × (14 + 8) = 2 × 22 = 44 cm²
area of semicircle = πr² = π × 4² = 8π cm²
Shaded area = 44 - 8π ≈ 18.87 cm² ( to 2 dec. places
Can someone help me solve this?
Thank you!
Answer:b=-43.38
Step-by-step explanation:
I need help I’m very confused with this question
Answer:
Option 1
Step-by-step explanation:
=> [tex]x^2-4x+2 = 10[/tex]
Adding 2 to both sides to complete the square
=> [tex]x^2-4x+4 = 12[/tex]
Completing the square
=> [tex](x-2)^2= 12[/tex]
Answer:
Step-by-step explanation:
exact form:
x=+2\sqrt(3+2)
decimal form:
x=5.46410161
What is the value of x in the equation 1/5x – 2/3y = 30, when y = 15?
Answer:
x = 200
Step-by-step explanation:
1/5x – 2/3y = 30
substitute in y
1/5x - 2/3(15) = 30
multiply
1/5x - 10 = 30
isolate the variable
1/5x = 40
multiply each side by 5
x = 200
Answer:
x = 200
Step-by-step explanation:
1/5x - 2/3y = 30
Put y as 15 and evaluate.
1/5x - 2/3(15) = 30
1/5x - 30/3 = 30
1/5x - 10 = 30
Add 10 on both sides.
1/5x = 40
Multiply both sides by 5.
x = 200
Find the area of the shaded segment. Round your answer to the nearest tenth. Please include units in your answer.
Answer: 56
Step-by-step explanation:
Let's organise our information :
the radius of the circle is r=14 cm we can get the area of the shaded by substracting the area of that triangle from that quarterThe area of the cercle's quarter area is :
A= 14²×π*(1/4) = 49π cm²The area of the triangle is :
A=14²*(1/2)=98NOw the area of the shaded segment :
A=49π-98= 55.98 ≈ 56Which equation could be used to find the length of the hypotenuse?
А
С
5 cm
С
B
8 cm
Answer:
The first option (5^2 + 8^2 = c^2).
Step-by-step explanation:
According to the Pythagorean Theorem, a^2 + b^2 = c^2.
If a is 5 cm, and b is 8 cm, you would have the following equation...
5^2 + 8^2 = c^2.
That matches with the first option.
Hope this helps!
The equation of a circle is given below. ( x + 7 ) 2 + ( y + 8 ) 2 = 4 9 (x+7) 2 +(y+8) 2 = 9 4 left parenthesis, x, plus, 7, right parenthesis, squared, plus, left parenthesis, y, plus, 8, right parenthesis, squared, equals, start fraction, 4, divided by, 9, end fraction What is its center? ( (left parenthesis , ,comma ) )right parenthesis What is its radius? If necessary, round your answer to two decimal places. units
Answer:
The center is (-7,-8) and the radius is sqrt (2/3)
Step-by-step explanation:
( x + 7 )^ 2 + ( y + 8 ) ^2 = 4 /6
The equation of a circle can be written as
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
Rewriting
( x - -7 )^ 2 + ( y - -8 )^ 2 = (sqrt(2/3)^2
The center is (-7,-8) and the radius is sqrt (2/3)
Answer:
center: (-7,-8) radius: 2/3
Step-by-step explanation:
i got this from wegnerkolmp2741o. thank you wegnerkolmp2741o!!!!!
also got this correct on khan academy
Find the number of rectangles in 6×6 chessboard.
Answer:
36
Step-by-step explanation:
quick maths
Answer:
36 rectangles
Step-by-step explanation:
Assuming that all you are asking for is the individual number of squares (not the number of squares and rectangles that can be made when combining the individual ones), the answer is 36.
We get this by multiplying the six squares on one side by the six on the other side. This allows us to calculate the total number! You can do this on a calculator or by hand.
However, if you would like the TOTAL number of rectangles that includes combining the individual ones, this chessboard would have 91 squares and 441 rectangles.