[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
y - intercept = -3[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]
Equation of straight line in point - slope form :
[tex]\qquad❖ \: \sf \:y - y1 = m(x - x1)[/tex]
( m = slope = 4, point (5 , 17) )
[tex] \qquad◈ \: \: \sf \: y - 17 = 4(x - 5)[/tex]
[tex] \qquad◈ \: \: \sf \: y - 17= 4x - 20[/tex]
[tex] \qquad◈ \: \: \sf \: y = 4x - 20 + 17[/tex]
[tex] \qquad◈ \: \: \sf \: y = 4x - 3[/tex]
Now, it's the form of line in slope - intercept form, ( slope = coefficient of x = 4 and y - intercept = -3 )
[tex] \qquad \large \sf {Conclusion} : [/tex]
[tex] \qquad◈ \: \: \sf \: y \: \: int = - 3[/tex]
22. If 1 m,m/19 - 118°, and m/16 - 48°, calculate m/12.
0 0
103"
98
109⁰
110"
18
17
19 20
14
16
13
15
11
10
12
9
63
5
m
Answer: Option 4
Step-by-step explanation:
[tex]m\angle 20=62^{\circ}[/tex] (linear pair)
[tex]m\angle 11=70^{\circ}[/tex] (angle sum in a triangle)
[tex]m\angle 12=110^{\circ}[/tex] (linear pair)
A hat contains slips of paper with the letters A-Z printed on them. If you draw one at random, what is the probability that you will get a vowel?
The probability of selecting a vowel from the hat that contains slips of paper with the letters A-Z printed on them is 5/26
What is probability?Probabilities are used to determine the chances, likelihood, possibilities of an event or collection of events
How to determine the probability?The given parameters are:
Letters = A - Z
Vowels = A, E, I, O and U
The above means that the number of letters and vowels are
n(Letters) = 26
n(Vowel)
The probability of selecting a vowel from the hat that contains slips of paper with the letters A-Z printed on them is
P(Vowel) = n(Vowel)/n(Letters)
Substitute the known values in the above equation
P(Vowel) = 5/26
Hence, the probability of selecting a vowel from the hat that contains slips of paper with the letters A-Z printed on them is 5/26
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When preparing a representative sample from a list of 200 customers who complained about errors in their statements, a _____ might select every tenth customer for review. a. stratified sample b. comprehensive sample c. random sample
When preparing a representative sample from a list of 200 customers who complained about errors in their statements, a systematic sample might select every tenth customer for review.
What is systematic random sampling?Systematic random sampling is known to be a form of a random sampling method that needs one to select samples using a system of intervals where one has ranges of numbered population.
Note that When preparing a representative sample from a list of 200 customers who complained about errors in their statements, a systematic sample might select every tenth customer for review.
See options below
a. stratified sample
b. comprehensive sample
c. random sample
d. Systematic sample
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Use the scale of 1cm=45 km
The actual distance between two cities is 333 km. What is the distance between them on the map
Answer:
d = 7.4 cm is the distance between the two cities on the map.
Step-by-step explanation:
Let d = the distance measured on the map in centimeters (cm) between any two locations and let D be the actual distance in kilometers (km) between these same two locations.
Since the scale on the map is 1 cm = 45 km, then the ratio of the distance on the map to the actual distance is equal to 1cm/45 km; therefore the quotient of any measured distance d on the map divided by the corresponding much longer actual distance D would have to maintain (equal) this same ratio; In other words, we can set up the following proportion to solve for d given the actual distance D = 333 km as follows:
1 cm/45 km = d/D
Substituting, we get:
1 cm/45 km = d/333 km
d/333 km = 1 cm/45 km
(d/333 km)(333 km) = (1 cm/45 km)(333 km)
d = (333 km/45 km)(1 cm)
d = 7.4 cm is the distance between the two cities on the map.
Check:
1 cm/45 cm = d/333 km
1 cm/45 cm = 7.4 cm/333 km
1 cm/45 cm = 1 cm/45 km (Therefore, the distance ratio of the map has been maintained
Use vector operations to draw the resultant vector. Draw u – v + w
Based on the above, the graph of the resultant vector is shown in the image attached (x-axis).
What is the graph about?In the graph construction, We need to carry out a sum of vectors and then draw the resultant vector.
Note that the resultant vector need to be <4, 0>
Hence when we view the graph attached, we can say that the vectors areas:
w = <3, 3>
u = <-3, -4>
v = <-4, -1>
So, the sum = u - v + w
Note also that in the sum of the vectors we need to add and subtract the correspondent parts and it will be:
u - v + w
= <-3, -4> - <-4, -1> + <3, 3>
= <-3 + 4 + 3, -4 + 1 + 3>
= <4, 0>
Therefore, Based on the above, the graph of the resultant vector is shown in the image attached (x-axis).
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how many 3cm cubes can be put in a box 3cm long 6cm wide 12cm high?
Answer:
8
Step-by-step explanation:
A cube is equal on all sides. Therefore the cubes must be 3cm x 3cm x 3cm. Therefore, each cube has an area of 27cm^3. The box that the cube has an area in is 3cm x 6cm x 12 cm which = 216cm^3. If you do [tex]216cm^3/27cm^3 = 8 cubes[/tex]
I NEED HELP W THIS QUICK FIRST TO ANSWER CAN HAVE BRAINLIEST I GUESS
i added more pts cus idrc for em
Answer:
1. Multiply the slope by 2 and look at the numerator
2. 5/7
3. slide A
4. The run of slide a is shorter which means that its steeper because the rise is the same
5. 10
6. 5 units?
Step-by-step explanation:
#1
We would use the slopeWe know
slope=tanØ
Here in slide B
tanØ=5/9But
tanØ=Ladder/18Then
9Ladder=90Ladder=90/9=10ft#2
The slope of slide A
tanØ=15/21tanØ=5/7#3 and 4
Compare tangents
tan(5/7)>tan(5/9) as their difference is +veSlide A is steeper
#5
Found in #1
#6
Slide A is higher as 15>10
HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I well give 100 point and a crown but need to be answer in less then 20 mins
If I have 419 assignments to do and i have pleated completed 79 how much work will I need to do every day to finish in one week
Answer:
Step-by-step explanation:
419-79= 340 assignments left to do
340/7days=48.57..... or about 46 assignments a day to finish them all in a week
(1 week= 7 days)
I don't know if you were serious but good luck with all the work if you are
Answer:
47 on 6 days and 48 on 1 day.
Step-by-step explanation:
Firstly you need to subtract 79 from 419. You will have 330 assignments left and the divide 330 by 7 since there are 7 days in a week and you get 47.142 and so if you double check by multiplying 47 times 7 it gives 329 so then you get 47 on 6 days and 48 on 1 day. Hope this helps!
O 40
O 13
O 80
05
R
T
8x
12x + 20
. An automobile license plate number issued by a certain state has 6 character positions. Each of the first 3 positions contains a single digit from 0 through 9. Each of the last 3 positions contains 1 of the 26 letters of the alphabet. Digits and letters of the alphabet can be repeated on a license plate. How many different such license plate numbers can be made
Answer:
17,576,000
Step-by-step explanation:
3 digits followed by 3 letters
Draw an underline character for each position with multiplication signs in between them.
_ × _ × _ × _ × _ × _
Now fill in each blank with the number of characters that can be used in that position. The first three blanks are used with digits, 0 through 9. There are 10 digits 0 through 9.
10 × 10 × 10 × _ × _ × _
For the last three blanks, each one gets a letter from A through Z. There are 26 letters to choose from fore each of the last three blanks.
10 × 10 × 10 × 26 × 26 × 26 = 17,576,000
Beau Thai has a rectangular mirror with a length of 6 inches and a width of 10 inches.
a) How much ribbon could Beau wrap around the outside of the mirror?
b) What is the area of Beau Thai's mirror?
a. Amount needed to wrap the outside of the rectangular mirror around = 32 inches.
b. Area of the Beau Thai's rectangular mirror around = 60 square inches.
What is the Area of a Rectangle?Area of a rectangle = (l)(w), where l is the length and w is the width of the rectangle.
What is the Perimeter of a Rectangle?Perimeter of a rectangle = 2(l + w), where l is the length and w is the width of the rectangle.
a. The amount of ribbon that can be used to wrap the outside of the mirror around can be determined by using the formula for the perimeter of a rectangle.
Length of rectangular mirror = 6 inches
Width of rectangular mirror = 10 inches
Perimeter = 2(6 + 10)
Perimeter = 2(16)
Perimeter = 32 inches
Amount needed to wrap the outside of the rectangular mirror around = 32 inches.
b. The area of Beau Thai's rectangular mirror can be determined by using the formula for the area of a rectangle.
Length of rectangular mirror = 6 inches
Width of rectangular mirror = 10 inches
Area = (6)(10)
Area = 60 square inches
Area of the Beau Thai's rectangular mirror around = 60 square inches.
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Ummm can y’all solve these problems I’ll give extra points for this
Pls solve step by step and label which is which
2. Two rectangular lots are adjacent to each other, as shown in the diagram below. Using a function operation, determine how many times bigger the large lot is than the small lot. Clearly identify the individual component functions and simplified final equation.
The large rectangle is 8/3 times bigger than the small rectangle.
How to explain the area?Area of large rectangle will be:
= 4x(2x - 2)
= 8x² - 8x
Area of small rectangle will be:
= (3x - 3)x
= 3x² - 3x
The ratio will be:
= 8x² - 8x/3x² - 3x
= 8(x² - x)/3(x² - x)
= 8/3
The large rectangle is 8/3 times bigger than the small rectangle.
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Does the expected value of a random variable have to equal one of the possible values of the random variable? explain
No, just like the average (mean) it is a mathematical quantity that is determined by its mathematical definition and the everyday meaning of “expected” is only a descriptive hint toward what it represents.
What does the expected value of a random variable mean?
E[X] stands for the expected value of a random variable. The expected value of a random variable is also known as its mean, in which case we use the notation X. It can be thought of as the "average" value obtained by the random variable.Is the expected value always equal to the mean?
The primary distinction between "mean" and "expected value" is that the former is typically used to describe a frequency distribution and the latter, a probability distribution. In frequency distribution, variables and their occurrence frequencies make up the sample space.Learn more about expected value of a random variable brainly.com/question/22435257
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HELP ASAP PLEASE
Kaydence is saving for an RR$P. She saved $100 the first year, $200 the second year, $300 the third year, and so on. If she put $100 away on January 1, 2014. $200 away on January 1, 2015, and continued to put money away on the first of each year, how much money would Kaydence have saved by the end of the day on January 1, 2050?
Based on the information given, the total money that is expected Kaydance save is $70300
How much money will Kaydance save every year?It is known she started saving $100 and each year she saves $100 more than the previous year. Also she will save a total of 36 years. This will be equal to:
100+200+300+400+500+600+700+800+900+1000+1100+1200+1300+1400+1500+1600+1700+1800+1900+2000+2100+2200+2300+2400+2500+2600+2700+2800+2900+3000+3100+3200+3300+3400+3500+3600+3700
How much money will she save in total?100+200+300... = $70300
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A triangular metal plate has base measuring 18 cm. Its height is unknown.
What equation models the area of this plate?
Let A represent the area, b represent the base, and h represent the height of the plate.
The model is based on the formula for the area of a triangle.
The area as a function of the height H is:
[tex]A= 9cm*H[/tex]
Which equation models the area of the metal plate?
We know that for a triangle of base B and height H, the area is given by:
[tex]A = \frac{B*H}{2}[/tex]
In this case, we already know that the base measures 18cm, then the formula for the area as a function of the height H is:
[tex]A= \frac{18cm*H}{2} = 9cm*H[/tex]
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Service organizations are often ideally suited for activity-based costing. In no less than 200 words, explain why the previous statement is true and discuss what some of the special considerations are in the design of cost accounting systems for service organizations
Service organizations are ideally suited for activity-based costing because virtually all of the costs for a service company are indirect and appear to be fixed.
What is activity-based costing?Activity-based costing is a method of assigning overhead and indirect costs such as salaries and utilities to products and services.
The ABC system of cost accounting is based on activities that are considered any event, unit of work, or task with a specific goal.
Here, activity-based costing has been used in manufacturing products but can also be applied to service industries, or businesses that provide a service instead of a product.
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If a movie starts at 13:35 and it lasts 1 hour and 27 minutes. What time does it end at?
Answer:
15:02 or 3:02 pm
Answer:
[tex]13.35 + 1.27 = 14.62 \\ \\1 hr = 60min \\ 62 min- 60min =2min \\ 14hr + 1hr = 15hr \\ \\it \: ends \: at \: 15.02[/tex]
WILL GIVE BRAINLIEST FOR CORRECT ANSWER AND EXPLANATION Belinda is buying fencing for her vegetable garden to keep her dogs out. The length of her garden is 15.6 feet, and the width is 10.8 feet. How much fencing material should she purchase to build the fence around the garden?
A. 168.48 ft
B. 54 ft
C. 52.8 ft
D. 26.4 ft
Answer:
C. 52.8 ft.
Step-by-step explanation:
Calculate the perimeter of the garden
[tex]P=2l+2w=2(15.6)+2(10.8)=31.2+21.6=52.8[/tex]
The perimeter represents the length of the fencing material she needs
Hope this helps
Answer:
52.8 if u give me brainliest tht will be so help full:)
Step-by-step explanation:
Triangle JKL is graphed on the coordinate plane. -5 -4 -3 y B MD N In L 2 4 5 X What are the coordinates of its image, JKL, if this triangle is dilated by a factor of 5 with respect to the origin? O J(2, 7), K (8, 7), and L'(5, 1) O J'(-5, 2), K'(5, 2), and L'(0, -5) O J'(-3, 2), K'(8, 2), and L'(0, -9) O J'(-15, 10), K'(15, 10), and L'(0, -20)
The coordinate of the image of JKL when dilated by a factor of 5 with respect to the origin is J'(-15, 10), K'(15, 10) and L'(0, 20).
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.
Translation is the movement of a point either up, left, right or down in the coordinate plane.
Let us assume that triangle JKL has vertices at J(-3, 2), K(3, 2) and L(0, 4).
The coordinate of the image of JKL when dilated by a factor of 5 with respect to the origin is J'(-15, 10), K'(15, 10) and L'(0, 20).
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Last year, during an investigation of the time spent reading e-mails on a daily basis, researchers found that on Monday the average time was 50 minutes. Office workers claim that with the increased spam and junk mail, this time has now increased. To conduct a test, a sample of 25 employees is selected with the following results: sample mean
The sample mean value is 0.26.
According to the statement we have given that the
Monday the average time was 50 minutes and we have to find the sample mean.
So, the values become
H(not):μ≤50
H(a):μ>50
Right Tail
The significance level, of the given number of employees then
α=0.05
And The value of sample mean, is
Z=x - u/i*(n)^1/2
then the value becomes
Z = 5.6 - 5/1.2*(25)^1/2.
then after calculating
Z= 1.6/1.2*5
Z= 0.26 And
Here The value of sample mean is 0.26.
So, The sample mean value is 0.26.
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rationalize the denominator !!!
please need help giving brainliest to all recent questions asked on my profile!!
Answer:
[tex]\frac{1\cdot \left(4+\sqrt{3}\right)}{\left(4-\sqrt{3}\right)\left(4+\sqrt{3}\right)}\\[/tex]
[tex]1\cdot \left(4+\sqrt{3}\right)=4+\sqrt{3}[/tex]
[tex]\left(4-\sqrt{3}\right)\left(4+\sqrt{3}\right) = 13[/tex]
[tex]= \frac{4+\sqrt{3}}{13}[/tex]
x = 4
y = 3
z = 13
Answer:
x = 4, y = 3, z = 13
Step-by-step explanation:
Multiply the equation by the opposite of the denominator
[tex]\frac{(1)(4 + \sqrt{3}) }{(4-\sqrt{3})(4+\sqrt{3} ) } \\\\\frac{4 + \sqrt{3} }{16 - 4\sqrt{3} +4\sqrt{3} -3} \\\\= \frac{4+\sqrt{3} }{13}[/tex]
There are 4 books on a shelf. books are added to the shelf at a rate of 2 books per minute. the total number of books on the shelf, y, is a function of the number of minutes, x, that the books have been added to the shelf. write an algebraic equation for the function.
The algebraic equation to represent the given situation is as follows,
y = 4 + 2x
What is an algebraic equation?
The term "algebraic equation" refers to a formulation of the equality of two expressions using the algebraic operations of addition, subtraction, multiplication, division, raising to a power, and extraction of a root on a set of variables.
An expression that includes variables, constants, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, etc.).
Forming the Algebraic Equation
Number of book present on the shelf initially = 4
It is given that 2 books are added per minute to the shelf.
If x is the number of minutes, then the books added will be 2x.
If y is the total number of books present on the shelf, then the algebraic equation is given as,
y = Number of books initially present on the shelf + 2x
⇒ y = 4 + 2x
Thus, y = 4 + 2x is the required algebraic equation.
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Marco built a circular table that has a radius of 3 centimeters. what is the diameter of the table ?
Answer:
Diameter = 2 x Radius / The answer should be 6.
Step-by-step explanation:
D = 2 x 3
= 6
problem plot two points that are 8 88 units from point b bstart color #11accd, b, end color #11accd and also share the same x xx-coordinate as point b bstart color #11accd, b, end color #11accd.
The two points are B'=(-6,-8).
What is the plot?A plot is a graphical technique for depicting data collection, typically in the form of a graph that depicts the relationship between two or more variables. The storyline can be created either by hand or by computer. Previously, mechanical or electrical plotters were used.To plot the points:
Plot a new point that is 8 units down and also has the same x coordinate.
Given - Point B = ( -6, 0 )
Represent the new point with B':
In Point B = ( -6, 0 )
[tex]x=-6,y=0[/tex]
This means that B' has an x coordinate of -6.
Next, is to determine the y coordinate:
If a point (x,y) is translated b units down, the new point is (x, y, -b)
In this case:
The y coordinate of B is 0 and b = 8.
So, the new y coordinate is 0 - 8 = -8
So, we have B'=(-6,-8).
Therefore, the two points are B'=(-6,-8).
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If there are seven points on a plane and no three points are on the same line, how many lines can the points make?
The number of lines that the points can make is; 21 lines
How to find Collinear Points?We are given that;
- There are 7 points on a Plane
- No 3 points on the plane are on the same line
Thus;
No 3 points are collinear and as such the number of lines that the points can make is found from the combination formula;
C(7,2);
C(7,2) = 7!/(7 - 2)!*2!
= (7 × 6)/(2 × 1)
= 42/2
=21
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Please help due right now !! pls show work thank uuuuu
Answer:
x=9.73
Step-by-step explanation:
This is trigonometry work! :)
So cos46°=x/14
x=14×cos46°
x≈9.73
Hope this helps <3
Write an equation of the line that passes through (2, 0) and is perpendicular to the line
y = -x-3.
An equation of the perpendicular line is y =
Answer:
y =x - 2
Step-by-step explanation:
If the slope of the line is 'm', then the slope of the perpendicular to the given line = [tex]\sf \dfrac{-1}{m}[/tex] (opposite reciprocal)
y = -x - 3
Compare with equation of line in slope y-intercept form: y = mx +b
m = -1
[tex]\sf \text{Slope of the perpendicular line = $-(\dfrac{1}{-1})= 1$}[/tex]
This line passes through (2, 0);
Equation of the line in slope - point form:
[tex]\sf y - y_1 = m(x - x_1)[/tex]
y - 0 = 1 (x - 2)
y = x - 2
HELP ASAP AND GET 20 POINTS!!!
Answer:
A
Step-by-step explanation:
point H is the point of intersection of the perpendicular bisectors of the triangle's sides and is the circumcentre.
Answer:
A. Circumcenter
Step-by-step explanation:
this is the point that has the same distance from all 3 vertexes.
being on the median line of DE, every point of that line has the same distance to D and E.
being also on the median line of FE means it has the same distance from F and E as every other point on that line.
and the same for DF.
H as the crossing point of all 3 median lines is the only point that has the same distance to D, E and F.
so, H is the center of a circle that goes through all 3 points.
A freezer is shaped like a rectangular prism. It has a length of 8 feet and a height of 3 feet. The volume is 54 cubic feet. Find the width of the freezer.
Answer:
2.25 ft
Step-by-step explanation:
Volume = length x height x width
54= 8 x 3 x ?
Combine: 54= 24 x ?
Find ?: 54/24=2.25
Recheck: 24 x 2.25 = 54