number 4 is in the thousanths place
If the product of the two roots of the equation : (k - 2) x2 - 6 X + 12 = 0 is 3, then k =
(a) zero
(b) 4
(c) 6
(d) 38
Answer:
(c)
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0
Then the product of the roots = [tex]\frac{c}{a}[/tex]
(k - 2)x² - 6x + 12 = 0 ← is in standard form
with a = k - 2 and c = 12 , thus
[tex]\frac{12}{k-2}[/tex] = 3 ( multiply both sides by (k - 1) )
12 = 3(k - 2) = 3k - 6 ( add 6 to both sides )
18 = 3k ( divide both sides by 3 )
6 = k → (c)
examine the variety of shapes below if a shape has shading then find the area of the Shaded region
only the last figure (i.e figure e) is shaded
The shaded region is a triangle
Area of a triangle
= ½ × b × h
= ½ × 14 × 5
= ½ × 70
= 35yd²
due in 30 min! Order the Angles from LEAST TO GREATEST
B, C, A
A, C, B
A, B, C
B, A, C
C, B, A
C, A, B
Answer:
Pretty sure it's C, A, B
Step-by-step explanation:
A biologist determined that there were 42 oak trees in a 5-acre forest. How many oak trees would be expected on 40 acres of identical habitat?
Answer:
336
Step-by-step explanation:
Using arithmetic operation, the number of oak trees on the land which is of identical habitat would be 336.
Using the relation:
5 acres = 42 trees - - - - - (1)
40 acres = t - - - - - (2)
Cross multiply
5t = 42 × 40
5t = 1680
t = 1680 / 5
t = 336 oak trees
Therefore, the Number of oak trees would be 336
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Evaluate. -|-2 + 9| 7 -7 -11
Answer:
= −67
Step-by-step explanation:
Answer:
the correct answer is -7 i had this on a test
Step-by-step explanation:
Need answers
Chapter 3 geometry test on big ideas math
Answer/Step-by-step explanation:
WX: 4.47
[tex]4^{2} + 2^{2} = 20\\\sqrt{20} = 4.47[/tex]
XY: 3.61
[tex]3^{2} + 2^{2} = 13\\\sqrt{13} = 3.61[/tex]
YZ: 4.12
[tex]1^{2} + 4^{2} = 17\\\sqrt{17} =4.12[/tex]
WZ: 4.24
[tex]3^{2} + 3^{2} = 18 \\\sqrt{18} = 4.24[/tex]
The slopes of the lines are:
WX = 2
XY = -1.5
YZ = 4
WZ = -1
Given is a polygon on a coordinate plane with vertices =
W = (-5, 1)
X = (-3, 5)
Y = (-1, 2)
Z = (-2, -2)
We need to find the slopes of line =
WX, XY, YZ and WZ
To find the slopes of the lines connecting the vertices of the polygon, we can use the formula for the slope between two points (x₁, y₁) and (x₂, y₂):
slope = (y₂ - y₁) / (x₂ - x₁)
Let's calculate the slopes for each line:
1) Slope of line WX:
W = (-5, 1)
X = (-3, 5)
slope(WX) = (5 - 1) / (-3 - (-5))
= 4 / 2
= 2
So, the slope of line WX is 2.
2) Slope of line XY:
X = (-3, 5)
Y = (-1, 2)
slope(XY) = (2 - 5) / (-1 - (-3))
= -3 / 2
= -1.5
So, the slope of line XY is -1.5.
3) Slope of line YZ:
Y = (-1, 2)
Z = (-2, -2)
slope(YZ) = (-2 - 2) / (-2 - (-1))
= -4 / (-1)
= 4
So, the slope of line YZ is 4.
4) Slope of line WZ:
W = (-5, 1)
Z = (-2, -2)
slope(WZ) = (-2 - 1) / (-2 - (-5))
= -3 / 3
= -1
So, the slope of line WZ is -1.
Therefore, the slopes of the lines are:
WX = 2
XY = -1.5
YZ = 4
WZ = -1
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I will give u a thank you
Answer:
The first one
Step-by-step explanation:
3x6=18
3.6x5=18
What number is 150% more than 2/3
Answer:
4.5
Step-by-step explanation:
Answer:
0.4 repeating
Step-by-step explanation:
Divide 2/3 by 150%
which expression is equivalent to 9x+4y+5+2x +8?
9x+2x=11x
5+8=13
=
11x+4y+13
Answer:
11x + 4y + 13
Step-by-step explanation:
ORIGNIAL EXPRESSION: 9x + 4y + 5 +2x +8
Combine like terms.
11x + 4y + 13 is the final answer.
(If this helped you, please give brainliest!)
(I did this on I-Ready and got it correct.)
Divina get paid two dollars per hour to do her chores this weekend she did chores on both Saturday and Sunday she made a total of $20 divina Worked for four hours on Saturday for how many hours did she do her chores on Sunday let X equal hours spent doing chores on Sunday choose The equation and solution steps that correctly represent this problem HELP
Answer:
Equation: 4(2) + 2x = 20
Step-by-step explanation:
Subtract 8 from both sides
2x = 12
Divide both sides by 2
x = 6
She did 6 hours of chores on Sunday
The equation will be 4(2) + 2x = 20. Hence, She did 6 hours of chores on Sunday.
What is the solution for an equation?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of that variable would give a true mathematical statement.
Divina gets paid two dollars per hour to do her chores this weekend.
she did chores on both Saturday and Sunday.
she made a total of $20 Divina Worked for four hours on Saturday.
Let x equal hours spent doing chores on Sunday.
The equation will be
4(2) + 2x = 20
Subtract 8 from both sides
4(2) + 2x - 8 = 20- 8
2x = 12
Divide both sides by 2
x = 6
Hence, She did 6 hours of chores on Sunday.
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The length of a piece of yarn is 19.2 units. Jesse cut the piece of yarn into 4 smaller pieces that were all the same length. Which expression represents the length of each smaller piece of yarn?
Answer:
Step-by-step explanation:
Let y = each smaller piece
y = 19.2 / 4
=========
y = 4.8
Which expression is equivalent to 100,000
Answer:
the answer is 10 with a little 4 on the top right corner
Step-by-step explanation:
count your zeros
help asap! Identify the function shown in this graph.
Answer:
A
Step-by-step explanation:
Using the formula y=mx+b we see the b (the y intercept) is at -1. Only answer choice A and B have a y intercept at -1. Now we check which one of those will correspond with the negative slope. A is negative and B is positive --> A is the correct answer choice.
perform the indicated operation. Be sure the answer is reduced.
2a+1/3a + 5/4 - 2a-3/6a^2
A 23a^2 + 6/12a^2
B -23a^2 + 6/12a^2
C 23a^2 - 6/12a^2
Answer:
A 23a^2 + 6/12a^2
Step-by-step explanation:
2a+1/3a + 5/4 -2a-3/6a^2
=4(2a+1)+15a/12a - 2a-3/6a^2
=a(8a+4+15a^2)-{2(2a-3)}/12a^2
=8a^2+4a+15a^2-4a+6/12a^2
=23a^2+6/12a^2
Please help me with this question
Answer:
120
Step-by-step explanation:
The relationship between the number of hours a plumber works and the total work fee she charges is proportional. Her fee for 5 hours of work is $350.
Which of the following could be combinations of values for the plumber's work hours and total work fee she charges? There are 3 answers
Answer: As given, relationship between the number of hours a plumber works and the total work fee she charges is proportional.
The meaning of proportional is Ratio of number of hours a plumber works and the total work fee she charges is constant.
Using Unitary method
5 hours of work = $350
1 hours of work = $70
Let number of hours worked = x hours
Amount earned for x hours of work is represented by = $ y
For , x hours of work amount earned = 70 x (x=1,2,3...)
→y= 70 x
→→
Step-by-step explanation:
SV is an angle bisector of ∠RST. If m∠RSV = (3x + 9)° and m∠RST = (8x − 26)°, find x.
Answer:
C) Definition of Angle Bisector, x=22
Step-by-step explanation:
[tex]As\ we\ the\ question\ relates\ only\ about\ SV\ bisecting\ \angle RST,\ We\ may\ use\ the\\[/tex][tex]C)Angle\ Bisector[/tex]
[tex]From\ the\ information\ provided\ we\ know\ that,\\SV\ bisects\ \angle RST\ into\ \angle RSV\ and\ \angle VST.\\Hence,\\\angle RSV\ and\ \angle VST\ are\ equal\ as\ they\ are\ the\ bisected\ angles\ of\ the\ same\ angle.\\Hence,\\\angle RSV\ = \angle VST\\Hence,\\We\ know\ that:\\\angle RSV\ + \angle VST =\angle RST\\Hence,\\\angle RSV\ +\angle RSV\ = \angle RST\\2\angle RSV=\ \angle RST\\[/tex]
[tex]Now\ from\ the\ information\ about\ the\ values\ of\ the\ angles\ provided\ in\ the\ question\ ,\\\angle RSV=(3x+9)\\\angle RST=(8x-26)\\Hence,\\2(3x+9)=(8x-26)\\6x+18=8x-26\\18+26=8x-6x\\2x=44\\x=22[/tex]
Mrs. Green has to buy enough candy canes for every student in her school to each get one. Candy canes are sold 10 to a box for $3 a box. There are 7 teams in the school, and each team has between 93 and 116 students. a. Is this situation discrete or continuous? How do you know? b. What is the domain and range? (Really think about what you are collecting data on in this question)
Answer:
a. The situation is discrete for the domain and continuous for the range.
b. i. 651 ≤ x ≤ 812. ii. $ 195.3 ≤ x ≤ $ 243.6.
Step-by-step explanation:
a. This is because we can only have a whole number of students which in turn leads to a whole number of candies. Also, since the cost of each candy box is $ 3/10 = $ 0.3, it is a real number. So, the total cost of candy will also be a real number. Thus, the situation is discrete for the domain and continuous for the range.
b. i. Let x be the number of students which also equals number of candies to be bought. Since there are 7 teams and between 93 and 116 students per team, the minimum number of students is 93 × 7 = 651 and the maximum number of students is 116 × 7 = 812. So, the domain, the number of candies is 651 ≤ x ≤ 812.
ii. The range of the function is the cost of the candies. Since the cost of the candies is $ 3 per box and there are 10 per box, each candy costs $ 3/10 = $ 0.3. So the total cost of candies C = cost per candy × number of students = $0.3x.
So, the range of the candies is the minimum and maximum values of students times $ 0.3. So, 651 × $ 0.3 ≤ x ≤ 812 × $ 0.3 = $ 195.3 ≤ x ≤ $ 243.6
A number cube has the numbers
1 through 6.
After rolling it 60 times, about how
many times would you roll a 5?
Answer:
that is based on luck u could get 5 everytime or none, depends on what roll
PLEASE HELP ME I KNOW ITS A LOT BUT I PUT EXTRA POINTS AND I’LL MARK YOU AS BRANLIEST!!!
Answer:
6.67
66.7%
1.20
337.12
Step-by-step explanation:
95.25*(7/100)
42.12/63.18*100
20. 95*(5/100)
9632*(3.5/100)
Kiran and Clare live 24 miles away from each other along a rail trail. One Saturday, the two friends started walking toward each other along the trail at 8:00 a.M. With a plan to have a picnic when they meet. Kiran walks at a speed of 3 miles per hour while Clare walks 3.4 miles per hour. After one hour, how far apart will they be?
Answer:
They would be 44.6 miles apart
Step-by-step explanation:
Here, we want to calculate how far they will be in 1 hour
Mathematically;
Distance = speed * time
In 1 hour, Kiran would have traveled a distance of 3 * 1 = 3 miles
While Clare would have traveled a distance of 3.4 * 1 = 3.4 miles
Now, we want to calculate how far apart they would be
On the 24 miles trail, Kiran would be at a distance of 21 miles to the other end
On the 24 miles Claire would be at a distance of 20.6 miles
So how far apart they would be is
24 miles + 20.6 miles = 44.6 miles
What is 3/8 ÷ 8 simplified?
Answer:
3/64
Step-by-step explanation:
Answer: 3/64
Step-by-step explanation:
The hourly wage is $7.50. John worked 7 hour. How much did he
earn?
Answer:
52.5
Step-by-step explanation:
7.50 x 7
32gal/min = ft/s not h i need s
Gallons (volume) and feet (length) are not compatible units. I guess you mean cubic feet.
Apparently, 1 gal = 231 in³, so
32 gal/min
= (32 gal/min) • (231 in³/gal) • (1/12 ft/in)³ • (1/60 min/s)
= (32 • 231) / (12³ • 60) ft³/s
= 77/1080 ft³/s
≈ 0.0713 ft³/s
What are the domain and range of this function?
PLZ HELP ILL MARK AS BRAINLIEST!!!
Answer:
Domain {-5, -4, 1, 2, 4, 5}
Range {-4, -2, 1, 2, 4, 5}
Step-by-step explanation:
I need the value of X that has the same area please help
Answer:
x = 10
Step-by-step explanation:
To find the value of x that will make the area of both figures to be equal, set the expression for the area of one figure equal to the other.
Thus:
(x + 5)×12 = x × 18
Solve for x
12x + 60 = 18x
Subtract 12x from each side
12x + 60 - 12x = 18x - 12x
60 = 6x
Divide both sides by 6
60/6 = 6x/6
10 = x
x = 10
find the value of the expression 2y-5 for y=10
Answer:
15
Step-by-step explanation:
Substitute 10 for y
2(10) - 5
= 15
Answer:
15
Step-by-step explanation:
2y-2
sinse y=10,
2(10)-5
20-5
15
Select all of the equations that are equivalent to 3.2 + 6 = 27
3x=21
3.x=33
X+ 6 = 24
x + 2 = 9
y - y1 = m (x - x1 ) write an equation in point slope form given point ( -5, -1 ) and m = 1/5
Answer:
y=1/5x-24/5
Step-by-step explanation:
y-(-5)=1/5(x-(-1))
y+5=1/5x+1/5
-5 -5
y=1/5x+1/5-5
y=1/5x+1/5-25/5
y=1/5x-24/5
Are the two lines parallel, perpendicular, or neither?
Graph 1
Graph 2
Graph 3
Graph 4
X
O Parallel
O Perpendicular
O Neither
O Parallel
O perpendicular
O Neither
O Parallel
Operpendicular
O Neither
O Parallel
O perpendicular
O Neither
Graph 1 neither
Graph 2 neither
Graph 3 perpendicular
Graph 4 parallel
Two lines of graph 1 , graph 2, graph 3 and graph 4 are neither , neither , perpendicular and parallel respectively.
What is a perpendicular lines?Those lines that are perpendicular to each other that means create an angle of 90° at intersecting point are perpendicular lines.
Those lines that do not intersect each other at any point and always at the equal distance are parallel lines. And those lines that are perpendicular to each other that means create an angle of 90° at intersecting point are perpendicular lines.
In the graph 1, both lines will cut each other. So the answer is 'Neither'.
In the graph 2, both lines are intersecting each other. So the answer is 'Neither'.
In the graph 3, at intersection point angle is 90° that means lines are perpendicular lines.
In the graph 4, both lines are at the equal distance and not intersecting each other at any point, if raised. So the lines are parallel lines.
Therefore, the answer of graph 1 , graph 2, graph 3 and graph 4 are neither , neither , perpendicular and parallel respectively.
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