Since the Dilating polygon WXYZ will alter the side lengths of the polygon. The correct option is option (b) the slope of WX is 3/4, and the length of W'X' is 15.
What is the vertex about?The coordinates in the question were:
(3,2), and (7,5).
Then the slope of WX is:
[tex]\frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
So m = [tex]\frac{{5} - 2 }{7-3} }[/tex]
=3/4
The length of WX is calculated by:
[tex]WX = \sqrt{(x_{2} - x_{1})^2 + (y_{2} - y_{1}) ^ 2}[/tex]
[tex]\sqrt{(7-3)^2 + (5-2)^2} \\\\= \sqrt{25} \\\\= 5[/tex]
Since, The scale factor is = 3.
Hence, WX = 3 x 5 = 15
Therefore, Since the Dilating polygon WXYZ will alter the side lengths of the polygon. The correct option is option (b) the slope of WX is 3/4, and the length of W'X' is 15.
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Answer: slope 3/4 and length 15
Step-by-step explanation: plato
What is the distance from (-3,8) and (13,-6)?
Answer:
d ≈ 21.26 units
Step-by-step explanation:
calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 3, 8 ) and (x₂, y₂ ) = (13 - 6 )
d = [tex]\sqrt{13-(-3))^2+(-6-8)^2}[/tex]
= [tex]\sqrt{(13+3)^2+(-14)^2}[/tex]
= [tex]\sqrt{16^2+196}[/tex]
= [tex]\sqrt{256+196}[/tex]
= [tex]\sqrt{452}[/tex]
≈ 21.26 units ( to 2 dec. places )
Answer:
The distance is 21.3
Step-by-step explanation:
The solution is in the attached image
Which shows all of the zeros of function shown on the graph
Answer: C
Step-by-step explanation:
The zeros of a graph are where the graph intersects the x-axis.
The function f(x) is shown in the graph.
Which type of function describes f(x)?
O Exponential
O Logarithmic
O Rational
O Polynomial
Answer: Logarithmic
Explanation:
This curve is a reflection of the exponential curve over the line y = x, to show that it is the inverse of exponentials. We use logs to help isolate the exponent among other useful properties.
George has 50,000in wage income ,20,000 in gambling winning .10,000 in alimony income and 5,000 in divided income the amount of George income that is subject to withholding is
The amount of George's income that is subject to withholding is $75,000, which excludes the alimony income.
What is alimony income?Alimony income represents the amount received from a spouse or a former spouse under a divorce or separation instrument.
What are the incomes subject to withholding?The incomes subject to withholding include the following:
Regular CommissionsVacation payReimbursementsOther expense allowances PensionsBonusesDividendsGambling winnings.Data and Calculations:Wages income = $50,000
Gambling winning = $20,000
Alimony income = $10,000
Dividend income = $5,000
Income subject to withholding = $75,000 ($20,000 + $20,000 + $5,000)
Thus, George's income that is subject to withholding is $75,000, excluding the alimony income.
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In a mathematics class, 24 students received an A on the third test, which is 150% of the students who received an A on the second test. How many students received an A on the second test
Answer: 16
Step-by-step explanation:
1.5x = 24
24/1.5 = 16 students.
In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0 represents the worst possible life and 10 represents the best possible life. The responses were normally distributed, with a mean of 5.2 and a standard deviation of 2.5. Answer parts (a)–(d) below.
The probability that a randomly selected study's participant was less than 4 is 0.2266.
How to compute the probability?Given that:
mean = 5.8
standard deviation = 2.4
a) P(x < 4) = P[(x - mean ) /sd < (4 - 5.8) / 2.4]
= P(z < -0.75)
Using z table,
= 0.2266
b) P(4 < x < 6) = P[(4 - 5.8)/ 2.4) < (x - \m ) /sd < (6 - 5.8) / 2.4) ]
= P(-0.75 < z < 0.08)
= P(z < 0.08) - P(z < -0.75 )
Using z table,
= 0.5319 - 0.2266
= 0.3053
c) P(x > 8) = 1 - p( x< 8)
=1- p P[(x - \m ) / sd< (8 - 5.8) / 2.4]
=1- P(z < 0.92)
Using z table,
= 1 - 0.8212
= 0.1788
Lastly, there are no unusual events because all the probabilities are greater than 0.05.
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Find the missing number
1 4 6 2 5 7 8 9 7 15 41 ?
Answer:
43
Step-by-step explanation:
I would see a pattern like this
1 4 6 2 5 7 8 9 7 15 41 ?
------------------- ---------
start pattern key
then
15 = 8 × 2 - 1
a10 = a7 × a4 - a1
41 = 9 × 5 - 4
a11 = a8 × a5 - a2
? = 7 × 7 - 6 = 43
a12 = a9 × a6 - a3
Which of the following statements is true?
0.8 <0.2 < 0.9 <0.801
0.2 <0.8 <0.9 <0.801
0.2 0.8 0.801 0.9
0.2 0.9 0.8 0.801
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
[tex]\: \sf \:0.2 < 0.8[/tex][tex] \: \sf \:0.8 < 0.801[/tex][tex] \: \sf \:0.801 < 0.9[/tex]Combining the above inequalities, we get :
[tex]\qquad❖ \: \sf \:0.2 < 0.8 < 0.801 < 0.9[/tex]
[tex] \qquad \large \sf {Conclusion} : [/tex]
Option C is correctA SINGLE CARD IS DRAWN AT RANDOM FROM A STANDARD DECK OF 52 CARDS. FIND THE PROBABILITY OF DRAWING THE FOLLOWING CARDS. PLEASE REDUCE TO LOWEST TERMS.
A) A DIAMOND OR A 5 __________
B) A HEART AND A JACK __________
C) A JACK OR AN 8 __________
D) A HEART OR A SPADE __________
E) A RED AND FACE CARD __________
F) A RED CARD OR A QUEEN __________
Answer:
A. [tex]\frac{17}{52}[/tex]
B. [tex]\frac{17}{52}[/tex]
C. [tex]\frac{2}{13}[/tex]
Step-by-step explanation:
A.
There are 52/4 diamonds in the deck and 4 '5's in the dech of cards
52/4 = 13 + 4 = 17
Therefore, you have a [tex]\frac{17}{52}[/tex] chance of drawing one of those cards.
B.
There are 13 hearts in the deck and 4 jacks. Therefore, your odds are the same : [tex]\frac{17}{52}[/tex]
C.
There are 4 jacks in a deck of cards and 4 '8's in a deck of cards
Therefore your probability is [tex]\frac{8}{52}[/tex] which simplifies to [tex]=\frac{2}{13}[/tex]
As per brainly guidelines I can only answer 3 questions in one answer
What is the radius and diameter of the following circle?
Radius = cm
diameter= cm
The value of diameter and radius of circle is 7 cm and 3.5cm.
According to the statement
we have given that the a figure of circle and we have to find the radius and the diameter of the circle.
So, We know that the
The radius of a circle runs from its center to its edge, the diameter runs from edge to edge and cuts through the center.
Here from the figure it is clear that the
Diameter of circle = 7cm
and the radius of circle we have to find
So,
Radius of circle = Diameter /2
Substitute the values in it then
Radius of circle = 7cm /2
Radius of circle = 3.5 cm.
So, The value of diameter and radius of circle is 7 cm and 3.5cm.
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3y+4z = -37
2x + 4y - 3z= 127
4y = 52
Answer:
x = 9, y = 13 , z = - 19
Step-by-step explanation:
3y + 4z = - 37 → (1)
2x + 4y - 3z = 127 → (2)
4y = 52 → (3)
divide both sides by 4 in (3)
y = 13
substitute y = 13 into (2) and solve for z
3(13) + 4z = - 37
39 + 4z = - 37 ( subtract 39 from both sides )
4z = - - 76 ( divide both sides by 4 )
z = - 19
substitute y = 13 and z = - 19 into (2) and solve for x
2x + 4(13) - 3(- 19) = 127
2x + 52 + 57 = 127
2x + 109 = 127 ( subtract 109 from both sides )
2x = 18 ( divide both sides by 2 )
x = 9
solution is x = 9, y = 13 , z = - 19
I am confused. Can somebody explain this to me?
Maryann can paint a wall in 45 minutes. It takes her brother Junior 1 hour and 45 minutes to paint the same wall. How many minutes would it take Maryann and Junior to paint the wall, if they work together? Answer as a decimal to the nearest tenth.
Answer: If they worked together, it would take 31.5 minutes
Step-by-step explanation:
There's a certain formula for equations like this:
[tex]\frac{1}{t1} +\frac{1}{t2}=\frac{1}{tb}[/tex]
t1= the time it took for the first person to complete the task.
t2= the time it took for the second person to complete the task.
tb= the time it took for both of them to complete the task.
We have the values for both t1 and t2, but not for tb.
t1= 45
t2= 105
tb= x
[tex]\frac{1}{45} +\frac{1}{105} = \frac{1}{x}[/tex]
Now it's simple algebra, and all we need to do is solve for x
The LCM for both fractions is 315, so now we multiply BOTH sides of the equation by 315.
[tex]\frac{315}{45} + \frac{315}{105} = \frac{315}{x}[/tex]
This will simplify nicely, so now we just need to get x on the other side.[tex]7 + 3 = \frac{315}{x} \\\\\ 10*x = \frac{315}{x} * x[/tex]
[tex]10x = 315 \\\\x = 31.5[/tex]
Joan wants to set a 4-digit unlock code for her mobile phone. She plans to use only odd numbers and to make sure that no number is used more than once. How many different unlock codes are possible.
Answer: 120
Step-by-step explanation:
There are 5 digits that are odd, 1 3 5 7 9
There are 5 possibilities for the first digit, 4 for the second, 3 for the third, and 2 for the last, so there are 5 x 4 x 3 x 2 = 120
can anyone help me solve this?
[tex] \frac{ \sqrt{x + 8} - \sqrt{x} }{8} \times \frac{ \sqrt{x + 8} + \sqrt{x} }{ \sqrt{x + 8} + \sqrt{x} } \\[/tex]
[tex] \frac{( \sqrt{x + 8} ) {}^{2} - ( \sqrt{x}) {}^{2} }{8( \sqrt{x + 8} + \sqrt{x} ) } \\ [/tex]
[tex] \frac{( \sqrt{x + 8} ) {}^{2} - ( \sqrt{x}) {}^{2} }{8( \sqrt{x + 8} + \sqrt{x} ) } \\ \frac{x + 8 - x}{8 \sqrt{x + 8} + 8 \sqrt{x} } = \frac{8}{8 \sqrt{x + 8} + 8 \sqrt{x} } [/tex]
A sundae requires 3 ice-cream scoops and 4 strawberries, and a milkshake requires 2 ice-cream scoops and 6 strawberries. Ramses wants to make sundaes and milkshakes with at most 25 ice-cream scoops and 37 strawberries. Let S denote the number of sundaes he makes and M the number of milkshakes he makes. Write an inequality that represents the condition based on the number of ice-cream scoops. Write an inequality that represents the condition based on the number of strawberries.
The system of inequalities be
3x+2y ≤ 25, 4x+6y ≤ 37
1) Maximum number of sundaes possible exists 9.
2) Maximum number of milkshakes possible exists 6.
3) Combination that uses the most of both Ice-cream and Strawberries = 7 scoops of ice cream and 1 scoop of strawberries.
What is system of inequalities?A system of inequalities exists the system where the set of more than one inequalities in more than or equivalent to one variable.
Given: A sundae needs 3 ice-cream scoops and 4 strawberries, and a milkshake requires 2 ice-cream scoops and 6 strawberries.
Ramses have to create sundaes and milkshakes with at most 25 ice-cream scoops and 37 strawberries.
Let x represent the number of sundaes he creates and y the number of milkshakes he creates.
We represent in tabular form,
Sundae(x) Milkshake(y) Total
Ice-cream 3 2 3x+2y
Strawberries 4 6 4x+6y
System of inequalities:
Sundaes and milkshakes with at most 25 ice-cream scoops exist
33x+2y ≤ 25.
Sundaes and milkshakes with at most 37 strawberries exist 4x+6y ≤ 37.
1) Maximum number of sundaes possible:
Maximum number of sundaes possible when y = 0
From the graph y = 0 at x = 9.25
Therefore, the maximum number of sundaes possible exists at 9.
2) Maximum number of milkshakes possible:
Maximum number of milkshakes possible when x = 0
From the graph x = 0 at y = 6.167
Therefore, the maximum number of milkshakes possible exists at 6.
3) Combination that utilizes the most of both Ice-cream and Strawberries:
A combination of both is possible there exists an intersection of both the equation.
From the graph, the intersection point exists x = 7.6 and y = 1.1.
Therefore, the Combination that utilizes the most of both Ice-cream and Strawberries = 7 scoops of ice cream and 1 scoop of strawberries.
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Find the derivative f(x)=[(3x^2-2)/(2x+3)]^3
[tex]f(x)=\left( \cfrac{3x^2-2}{2x+3} \right)^3\implies \cfrac{df}{dx}=\stackrel{\textit{\LARGE chain~ ~~ rule}}{3\left( \cfrac{3x^2-2}{2x+3} \right)^2\underset{quotient~rule}{\left( \cfrac{6x(2x+3)~~ - ~~(3x^2-2)2}{(2x+3)^2} \right)}} \\\\\\ \cfrac{df}{dx}=3\left( \cfrac{3x^2-2}{2x+3} \right)^2\left( \cfrac{12x^2+18x-6x^2+4}{(2x+3)^2} \right) \\\\\\ \cfrac{df}{dx}=3\left( \cfrac{3x^2-2}{2x+3} \right)^2\left( \cfrac{6x^2+18x+4}{(2x+3)^2} \right)[/tex]
[tex]\cfrac{df}{dx}=3 \cfrac{(3x^2-2)^2}{(2x+3)^2} \left( \cfrac{2(3x^2+9x+2)}{(2x+3)^2} \right)\implies \cfrac{df}{dx}=\cfrac{6(3x^2-2)^2(3x^2+9x+2)}{(2x+3)^4}[/tex]
now, we could expand the polynomials, but there isn't much simplification, so no much point doing so.
23. What would be the location of the vertex (3, 4) if it were reflected across
the y-axis?
A. (3,-4)
B. (-3, 4)
C. (4, -3)
D. (-4, 3)
PLEASE HELP ME THANK U
Answer:
2700 degrees
Step-by-step explanation:
The number of sides minus 2 times.
n = number of sides
(n-2)= 180
(17-2)(180)
(15)(180) = 2700
Find the coordinates of the image point for S(−11, 2) across y = 1.
Answer:
(11,0)
Step-by-step explanation:
What index of m will equal to 1/m^2 ?
Answer:
index of m is -2
Step-by-step explanation:
any number or letter to the negatIve power(index) is the same as 1 divided by that number or letter to the positive index.
for example, 10^-2 = 1/10^2 and X^-4 is the same as 1/X^4.
just need all answers to 19 asap please
Answer:
1&2)
GH = 28
FH = 56
XY = 7
XZ = 14
3-6) Acute, Obtuse, Acute, Right
7) Perimeter: 40 in. Area: 84 in^2
8) Perimeter: 42 m. Area: 84 m^2
9) Perimeter: 15.2 yd. Area: 14.44 yd^2
10) 1, 8, 27, 64, 125 These are the cubes of 1, 2, 3, 4, 5 so it's just the cube of the next number that was cubed before.
11) 128, 32, 8, 2, 1/2 Divide the previous number by 4.
12) 2, -6, 18, -54, 162 Multiply the previous number by -3
13-15) I'm sorry we didn't do those so I don't really know how that works sorry.
16) 3x - 14 = 34
3x = 48 Add 14 to each side (to isolate 3x)
x = 16 Divide by 3 both sides (to get x)
17) -4(x+3) = -28
x+3 = 7 divide by -4 on both sides (to get a step closer to solving for x and isolating x+3)
x = 4 subtract 3 from both sides (to get x (isolating x))
18) 43 - 9(x-7) = -x - 6
43 - 9x + 63 = -x - 6 distribute 9 to x and 7 (to expand)
106 - 9x = -x - 6 combine like terms (easier to deal with)
106 - 8x = -6 add x to both sides (so there's only x on one side)
112 - 8x = 0 add 6 to both sides (only one number left)
112 = 8x move -8x to the right side
x = 14 divide by 8 (to isolate x)
19) x = 29 degrees
20) x = 13 degrees
21) x = 9 degrees, y = 31 degrees
Step-by-step explanation:
4x = 5x-7
x = 7
GH = 5(7) - 7 = 35 - 7 = 28
FH = 4x + 5x - 7 = 4(7) + 28 = 28*2 = 56
3x - 5 = x + 3
x = 4
XY = 3(4) - 5 = 12 - 5 = 7
XZ = 7*2 = 14
Acute is < 90
Obtuse is > 90
Right is = 90
Straight is = 180
7) 2(6+14) = 2(20) = 40 in
6*14 = 84 in^2
8) 13+14+15 = 42 m
(12*14)/2 = 6*14 = 84 m^2
9) 3.8*4 = 15.2 yd
3.8^2 = 14.44 yd^2
19) 34 + 4x + 30 = 180
64 + 4x = 180
4x = 116
x = 29
20) 4x + 7x + 37 = 180
11x = 143
x = 13
21) 3y + 42 = 9x + 54
y + 14 = 3x + 18
y = 3x + 4
3y + 42 + 5x + 9x + 54 + 5x = 360
3y + 19x = 264
substitute y with 3x + 4
3(3x + 4) + 19x = 264
9x + 12 + 19x = 264
28x = 252
x = 9
so y = 3(9) + 4 = 27 + 4 = 31
17. What is the probability that the student will play football and baseball? (a) 28 /33 (b) 35 /66 (c) 4 /33 (d) 8 /11
( P + 5 ) - 4 = 6
What is the value of P?
Answer:
ight first you add 4 to 6 and that gets you 10 so you left with p+5=10 then you subtract 5 from 10 so p is gonna be 5
Step-by-step explanation:
What insult is meat shield I never understood it if someone calls a person a meat shield what does the insult mean
Answer: someone who is viewed as obsolete or a person you can use to save yourself from any problem/situation
Step-by-step explanation:
Answer:
The term "meat shield" is often used as an insult to refer to someone who is used by others as a protective barrier, especially in a dangerous or violent situation. The implication is that the person being referred to is expendable and not valued for their own merits or abilities.
Here are a few examples of insults that use the term "meat shield":
"You're nothing more than a meat shield for your boss."
"You're just a disposable meat shield to your friends."
"You're nothing but a human meat shield to your team."
"You're just a weak and pitiful meat shield."
"You're just a coward who hides behind others like a meat shield."
Again, it's important to remember that using insults is never a productive or kind way to communicate with others. It's always better to try to address the issue in a respectful and constructive manner.
What is the ratio of my lawn if it is 4 meters by 4.5 meters
Answer:
The 1:n ratio is= 1 : 1.125
The n:1 ratio is= 8/9 : 1
Just the simple ratio is= 4 : 4.5
25)
27)
29)
8-Surface Area of Solids
Find the surface area of each solid. Round to the nearest tenth.
7 yd
9m
5 yd
7 yd
7 yd
8.3 m
9m
7 yd
13.7 yd 26)
4 yd
3.9 ft
28)
3 mi
30)
2 mi
818
2 mi
11.5 yd
2 mi
3 mi
7 yd
7 yd
The surface area of the figure illustrated will be 286 yards²
How to calculate the area?The surface area of a solid object simply implies the measure of the total area which the surface of an object occupies. This is typically done by adding all the areas on the surface of the object.
It should be noted that the surface area of a cuboid will be:
= 2(lw + lh + wh)
w = width = 7
l = length = 9
h = height = 5
Surface area = 2(lw + lh + wh)
= 2(7 × 9) + 2(9 × 5) + 2(7 × 5)
= 126 + 90 + 70
= 286 yards²
Therefore, the surface area of the solid will be 286 yards².
Complete question:
Find the surface area of the solid given that the length is 9 yards, the width is 7 yards, and the height is 5 yards.
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need heeeelp please
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900. The following table shows the number of sales each salesman had during the first three weeks of this month.
Based on the amount that both Salesmen A and B earn per sale, the number of sales they both had was 12 sales.
How many sales did Salesmen A and B have?Sales commission is a key aspect of sales compensation. It's the amount of money a salesperson earns based on the number of sales they have been able to make.
We are told that;
Salesman A gets $65 per sale.
Salesman B gets $300 and $40 per sale.
Assuming the number of sales to take them both to the same amount is x, the relevant formulas would be:
65x = 300 + 40x
Rearranging gives;
65x - 40x = 300
25x = 300
x = 300/25
x = 12 sales
The amount that salesman A earned is = 65 * 12 = $780
The amount that salesman B earned is = 300 + (40 * 12) = $780
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Use the coordinate grid to determine the coordinates of point A:
Coordinate grid shown from negative 2 to positive 2 on x axis and negative 2 to positive 2 on y axis. There are increments of 1 over 4 for each grid line on each of the two axes. Only the whole numbers are labeled on either side of the axis. A point A is shown at the intersection of 5 grid lines to the left of the y-axis and 3 grid lines above the x-axis.
What are the coordinates of point A?
( fraction negative 1 and 1 over 4, fraction 3 over 4)
( fraction 1 and 1 over 4, fraction negative 3 over 4)
( fraction negative 3 over 4, fraction 1 and 1 over 4)
( fraction 3 over 4, fraction negative 1 and 1 over 4)
Based on the given coordinate grid, and the increment for each grid line, the coordinates of point A is ( fraction negative 1 and 1 over 4, fraction 3 over 4) or (-1¹/₄, ³/₄).
What are point A's coordinates?
The x-value of point A is said to be 5 grid lines to the left of y-axis. This means that the x value will be negative.
The increments are 1/4 so the x-value is:
= -1/4 x 5
= -1¹/₄
The y-value is given by the 3 grid lines above the x-axis which means that this value is positive:
= 1/4 x 3
= 3 /4
The coordinates of A are:
(-1¹/₄, ³/₄)
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lim
n->infinity 4n^3-5/9n^3+7
Answer:
[tex]\lim_{n\rightarrow +\infty } \frac{4n^{3}-5}{9n^{3}+7}=\frac{4}{9}[/tex]
Step-by-step explanation:
[tex]\lim_{n\rightarrow +\infty } \frac{4n^{3}-5}{9n^{3}+7}[/tex]
Pull out n³
[tex]=\lim_{n\rightarrow +\infty } \frac{n^{3}\times \left( 4-\frac{5}{n^3} \right) }{n^{3}\times \left( 9+\frac{7}{n^3} \right) }[/tex]
Simplify by n³
[tex]=\lim_{n\rightarrow +\infty } \frac{ \left( 4-\frac{5}{n^3} \right) }{ \left( 9+\frac{7}{n^3} \right) }[/tex]
Remark : [tex]\lim_{n\rightarrow +\infty } \frac{5}{n^3} \right) } = 0 \ \. \text{and} \ \ \lim_{n\rightarrow +\infty } \frac{7}{n^3} \right) } = 0[/tex]
Then
[tex]\lim_{n\rightarrow +\infty } \frac{ \left( 4-\frac{5}{n^3} \right) }{ \left( 9+\frac{7}{n^3} \right) }=\frac{4-0}{9+0}[/tex]
[tex]=\frac{4}{9}[/tex]
