Answer:
Step-by-step explanation:
let the plane intersects the join of points in the ratio k:1
let (x,y,z) be the point of intersection.
[tex]x=\frac{3k+2}{k+1} \\y=\frac{5k+4}{k+1} \\z=\frac{-4k+16}{k+1} \\\because ~(x,y,z)~lies~on~the~plane.\\2(\frac{3k+2}{k+1} )-3(\frac{5k+4}{k+1} )+\frac{-4k+16}{k+1} +6=0\\multiply~by~k+1\\2(3k+2)-3(5k+4)+(-4k+16)+6(k+1)=0\\6k+4-15k-12-4k+16+6k+6=0\\-7k+14=0\\k=2\\x=\frac{3*2+2}{2+1} =\frac{8}{3} \\y=\frac{5*2+4}{2+1}= \frac{14}{3} \\z=\frac{-4*2+16}{2+1} =\frac{8}{3}[/tex]
point of intersection is (8/3,14/3,8/3)
and ratio of division is 2:1
Find each difference.
(2x2-5x-7)-(7x2+3)
PLEASE HELP!!!
Answer: [tex]-5x^{2} -5x-10[/tex]
Step-by-step explanation:
[tex](2x^{2} -5x-7)-(7x^{2} +3)[/tex]
subtract by terms.
2x^2 - 7x^2 = -5x^2
-5x is the only term so leave it alone
-7-3= -10
-5x^2 -5x -10
Answer:
-5x-48
Step-by-step explanation:
First, simplify the first half,
(2x2-5x-7) --> (4-5x-7) --> (-5x-7+4) --> (-5x-13)
Then, simplify the second half,
(7x2+3) --> (7x5) --> (35)
Finaly put them together
-5x-13-35, subtract like terms
-5x-48
This is the most simplifyed it can get because of the variable.
Hope this helps, if you have a question if you are confused,
Have a good day and if you can, please give me brainliest, it will help a lot. :)
A television set costs $350 cash. When bought on hire purchse, a deposit of $35 is required, followed by 12 monthly payments of $30. How much is saved by paying cash?
Answer:
$45
Step-by-step explanation:
find the hire purchase price: 12 months x $30 = $360 + $35 deposit = $395
difference: 395 - 350 = $45
Solve this problem. Reduce to lowest terms.
John worked in his garden for 4 3/4hours on Saturday and 2 1/2 hours on Sunday. How
many hours did he work in all?
0 6 hours
O 7 hours
4 hours
5 hours
Ten different families were tested for the average number of gallons of water they used per day before and after viewing a conservation video. A 90% confidence interval for the difference of the means after and before the training, was determined to be (−10.8,−4.2)
a. Based on this sample, we are 90% confident that the average decrease in daily water consumption after viewing the conservation video is between 4.2 and 10.8 gallons.
b. We are 90% confident that a randomly selected family who has viewed the video will use between 4.2 and 10.8 fewer gallons of water per day compared to a randomly selected family who has not viewed the video.
c. We know that 90% of families will use between 4.2 and 10.8 fewer gallons of water each day after viewing the conservation video.
d. We are 90% confident that a randomly selected family who has viewed the video will use between 4.2 and 10.8 more gallons of water per day compared to a randomly selected family who has not viewed the video.
e. Based on this sample, we are 90% confident that the average increase in daily water consumption after viewing the conservation video is between 4.2 and 10.8 gallons.
Answer:
a. Based on this sample, we are 90% confident that the average decrease in daily water consumption after viewing the conservation video is between 4.2 and 10.8 gallons.
Step-by-step explanation:
From the given information:
we learnt that :Ten different families were tested for the average number of gallons of water they used per day before and after viewing a conservation video.
A 90% confidence interval for the difference of the means after and before the training, was determined to be (−10.8,−4.2)
Confidence interval shows the range of values with the likelihood to contain a true population value with a certain degree of confidence. In confidence interval, a true population mean lies within the interval of a lower limit and upper limit.
From the given information; the lower limit is -10.8 and the upper limit is -4.82; based on this negative sign, it means they are both decreasing.
Therefore; we can conclude from the given option that :
Based on this sample, we are 90% confident that the average decrease in daily water consumption after viewing the conservation video is between 4.2 and 10.8 gallons.
what is the value of the exponent expression below?
Answer:
6Option C is the correct option.
Step-by-step explanation:
[tex] {36}^{ \frac{1}{2} } [/tex]
Write the number in exponential form with a base of 6
[tex] =( {6}^{2}) \: ^{ \frac{1}{2} } [/tex]
Simplify the expression by multiplying the exponents
[tex] = 6[/tex]
Hope this helps..
Best regards!!
If v1 = (2,5) and V2 = (4,-3), then the angle between the two vectors is
Round your answer to two decimal places,
Answer:
105.07°
Step-by-step explanation:
The angle of v1 is ...
arctan(5/2) ≈ 68.199°
The angle of v2 is ...
arctan(-3/4) ≈ -38.870°
The angle difference between the two vectors is ...
68.199° -(-38.870°) = 105.07°
PLEASE HELP!!!
In a survey, 250 adults and children were asked whether they know how to
swim. The survey data are shown in the relative frequency table.
Answer:
82% Add .34+.48.
Step-by-step explanation:
The question is asking how many people CAN swim. This is why the answer is 82. But if the question asks how many people CANT swim the answer will be 18. This is why some people might get confused.
Can someone tell me the answer it would really help 3(x−2)+1 =
Step-by-step explanation:
3(x-2)+1
= 3x-6+1
= 3x-5
Answer:
Step-by-step explanation:
3(x-2)+1=
Then distribute, and now you get:
3x-6+1=
Now combine like terms, and now you get:
3x-5=
There is nothing much to do because there isn't a answer for it
Determine what type of quadrilateral ABCD is, given the following points. A(1,−1) B(7,1) C(8,−2) D(2,−4). 1.Parralellogram 2.rectangle 3.rhombus 4.square
Answer:
.
Step-by-step explanation:
Answer:
Rectangle
Step-by-step explanation:
You graph them. From Point A to Point B it's rise 2 run 6 just like Point C to Point D. From Point D to Point A it's rise 3 run -1 just like Point C to Point B
Please answer in two minutes
Answer:
Toa
48/55
Step-by-step explanation:
O/A
48/55
Evaluate \dfrac32y-3+\dfrac53z 2 3 y−3+ 3 5 zstart fraction, 3, divided by, 2, end fraction, y, minus, 3, plus, start fraction, 5, divided by, 3, end fraction, z when y=6y=6y, equals, 6 and z=3z=3z, equals, 3.
Answer:
11
Step-by-step explanation:
Given:
3/2y - 3 + 5/3z
When
y=6
z=3
3/2y - 3 + 5/3z
Substitute the value of y and z
3/2(6) - 3 + 5/3(3)
=18/2 - 3 + 15/3
=9-3+5
=6+5
=11
54x^3y+ 81x^4y^2 factorise
Answer:
I hope it helps you......
At the beginning of the school year, Jamie had $500 in her savings account. She wants to have at least $200 left in the account at the end of the school year. Each week, she withdraws $30 for spending money. To determine how many weeks she can spend $30, Jamie wrote and solved this inequality. 500 − 30x ≥ 200 −500 −500 −30x ≥ −300 x ≥ 10 Review Jamie's work. What was her error? Jamie should have used the less than or equal to sign when writing the inequality. Jamie should have reversed the inequality when using the division property of inequality. Jamie should have added 500 to both sides. Jamie should have started by dividing by –30.
Answer:
Jamie should have reversed the inequality when using the division property of inequality.
Step-by-step explanation:
Jamie wrote
500 − 30x ≥ 200
Subtract 500 from both sides
500-500-30x ≥ 200-500
-30x ≥ -300
Divide both sides by -30
x ≥ 10
Instead of reversing the inequality when using the division property of inequality
500 − 30x ≥ 200
Subtract 500 from both sides
500-500-30x ≥ 200-500
-30x ≥ -300
Divide both sides by -30
x <or= 10
the answer is B i hope this helps
^_^
Mikel gave a $1.32 tip for an order that cost $8.80. Determine whether or not each tip below is proportional to Mikel's tip. $2.22 tip for a $14.80 order $1.86 tip for a $10.50 order $0.78 tip for a $5.20 order
Answer:
1. Proportional
2. Not proportional
3. Proportional
Step-by-step explanation:
Mike's proportion
Michael gave $1.32 tip for an order that cost $8.80
$1.32÷$8.80=0.15
Given
1. $2.22 for $14.80
$2.22÷$14.80 =0.15
It is proportional to Mike's tip
2. $1.86 for $10.50
$1.86÷$10.50=0.1771
It I not proportional to Mike's tip
3. $0.78 for $5.20
$0.78÷$5.20=0.15
It is proportional to Mike's tip
Therefore,
1. Proportional
2. Not proportional
3. Proportional
Answer:
The first one is proportional
The second one is not proportional
The third one is proportional
Step-by-step explanation:
I just got it right on Khan
32 is an example of A. an algebraic equation B. a numerical expression C. a numerical equation D. an algebraic expression Reset
ayuda plis nosé donde estoy q Brainli es este
ayuda
Answer:
hmm I'm not sure but i think it's B. a numerical expression
Sowwy if this didn't help :c
Write the number in standard notation. 4.16 × (10) ^–5
Answer:
.0000416
Step-by-step explanation:
Since 10 is squared by a negative number, the number (4.16) will be smaller. To find the answer, move the decimal 5 places to the left
Answer:
0.0000416.
Step-by-step explanation:
When 10 is raised to a negative power, that means that the decimal point will be moved to the left a certain number of units.
In this case, it is 10^-5, so the decimal point will move to the left by 5 units.
4.16 * 10^-5 = 000004.16 * 10^-5 = 0.0000416.
Hope this helps!
Plz help asap 10x^2+11x+3
Answer:(2x+1)(5x+3)
Step-by-step explanation:
Please help, thanks :) (Question is attached below)
Answer:
Solution : Graph 4
Step-by-step explanation:
Let's break down this function,
{ y = 5 if x ≤ - 2, y = 0 if x = 3, y = - 1 if x > 3 }
As you can see, graph 4 is the only one that represents this.
• When y = 5, x ≤ - 2. This is represented by a ray with a colored hole, indicating that x = - 2. At the same time this ray extends infinitely in the negative direction, indicating that x < - 2.
• When y = 0, x = 3. This is represented as the point ( 3, 0 ).
• And when y = - 1, x > 3. At y = - 1 another respective ray, that has a non - filled hole, indicates that x ≠ 3. The ray extends infinitely in the positive direction, meeting the criteria that x > 3.
What equation of the circle would center (-3.2 , -2.1 ) and radius 4.3 ? ( fast please I will give u brainlest)
Answer:
Look at the attached picture
Step-by-step explanation:
It is given that the center of the circle is (-3.2,2.1) and radius is 4.3.
Answer:
( x+3.2) ^2 + ( y+2.1) ^2 = 4.3^2
Step-by-step explanation:
We can write the equation of a circle as
( x-h) ^2 + ( y-k) ^2 = r^2
where ( h,k) is the center and r is the radius
( x- -3.2) ^2 + ( y--2.1) ^2 = 4.3^2
( x+3.2) ^2 + ( y+2.1) ^2 = 4.3^2
!!geometry! Find the value of x if m∠P=18°
Answer:
x = 72
Step-by-step explanation:
If P is 18 degrees and Q is 90 degrees you just add them up and subtract it by 180.
what is 1 add 1 please help!!!!!!!!!!!!!!!PS first person to get it correct gets brainiest
Answer: 2
Step-by-step explanation:
Answer:
2...........
Step-by-step explanation:
1 + 1 = 2............
What’s the y- intercept and x-intercept of y = 3/4x + 3
Answer:
see below
Step-by-step explanation:
y = 3/4x + 3
To find the y intercept, let x =0 and solve for y
y = 0+3
The y intercept is 3
To find the x intercept, let y =0 and solve for y
0 = 3/4x+3
-3 = 3/4x
-3 *4/3 = 3/4x*4/3
-4 =x
The x intercept is -4
━━━━━━━☆☆━━━━━━━
▹ Answer
y-intercept = 3
x-intercept = -4
▹ Step-by-Step Explanation
y = mx + b
y = 3/4x + 3
0 = 3/4x + 3
-3 = 3/4x
-3 * 4/3 = 3/4x * 4/3
x = -4
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
The table below represents an exponential function, g, that has been vertically shifted from the parent function, f(x)= 2^x. Determine the size of shift from function f to function g. Then plot the points of a function that is shifted only half as much as g from the parent function, f. Use the same x- values as used in the table for function g. Table x 0 1 2 3 4 g(x) -11 -10 -8 -4 4
Answer:
1. The size of shift from function f to function g is -12
2. The plot of the points of a function that is shifted only half as much as g from the parent function f is in the attached file in blue color.
Step-by-step explanation:
Parent function: f(x)=2^x
x=0→f(0)=2^0→f(0)=1
x=1→f(1)=2^1→f(1)=2
x=2→f(2)=2^2→f(2)=4
x=3→f(3)=2^3→f(3)=8
x=4→f(4)=2^4→f(4)=16
Size of the shift from function f to function g: s
s=g(0)-f(0)=-11-1→s=-12
s=g(1)-f(1)=-10-2→s=-12
s=g(2)-f(2)=-8-4→s=-12
s=g(3)-f(3)=-4-8→s=-12
s=g(4)-f(4)=4-16→s=-12
Points of a function h that is shifted only half as much as g from the parent function, f. Use the same x- values as used in the table for function:
s2=s/2→s2=(-12)/2→s2=-6
x h(x)
0 1+(-6)=1-6=-5
1 2+(-6)=2-6=-4
2 4+(-6)=4-6=-2
3 8+(-6)=8-6=2
4 16+(-6)=16-6=10
what is 1/8 - 7/8 ? ( its a fraction)
Answer:
1/8-7/8= -3/4
Step-by-step explanation:
1/8-7/8 is just like 7/8-1/8 but is the opposite
7/8-1/8=6/8 or 3/4
1/8+6/8=7/8
1/8-1/8=0
0-6/8= -6/8 or -3/4
Two angles are supplementary (meaning they add up to 180 ° ). The ratio of the relationship of the measure of Angle A to the measure of Angle B is 3:4. What are the measure of both angles?
Answer:
Angle A= 77.14°
Angle B= 102.86°
Step-by-step explanation:
Supplementary angles are angles that add up to 180°, as stated in the question.
This means that Angle A + Angle B= 180°
The measure of Angle A to Angle B is 3:4
3:4 --------> 3+4 = 7 total parts
Hence, angle A will be 3/7 of the total angle (180°)
angle B will be 4/7 of the total angle (180°)
That is, angle A = 3/7 × 180° = 77.1428°
angle B= 4/7 × 180° = 102.857°
Approximately, angle A = 77.14° while angle B= 102.86°
Drag each tile to the correct box.
Three geometric sequences are given below.
Sequence A: 160, 40, 10, 2.5,
Sequence B: -21, 63, -189, 567, ...
Sequence C: 8, 12, 18, 27,
Order the sequences from least common ratio to greatest common ratio.
Sequence A
Sequence C
Sequence B
Answer:
Sequence B, Sequence A, Sequence C
Step-by-step explanation:
Data obtained from the question include the following:
Sequence A: 160, 40, 10, 2.5,
Sequence B: -21, 63, -189, 567, ...
Sequence C: 8, 12, 18, 27
Next, we shall determine the common ratio of each sequence. This is illustrated below:
Common ratio (r) is simply obtained by dividing the 2nd term (T2) by the 1st term (T1) or by dividing the 3rd term (T3) by the 2nd term (T2). Mathematically, it is expressed as:
r = T2/T1 = T3/T2
For sequence A:
160, 40, 10, 2.5
2nd term (T2) = 40
Ist term (T1) = 160
Common ratio (r) =..?
r = T2/T1
r = 40/160
r = 1/4
r = 0.25
Therefore, the common ratio is 0.25.
For sequence B:
-21, 63, -189, 567
2nd term (T2) = 63
Ist term (T1) = -21
Common ratio (r) =..?
r = T2/T1
r = 63/-21
r = - 3
Therefore, the common ratio is - 3.
For Sequence C:
8, 12, 18, 27
2nd term (T2) = 12
Ist term (T1) = 8
Common ratio (r) =..?
r = T2/T1
r = 12/8
r = 3/2
r = 1.5
Therefore, the common ratio is 1.5.
Summary:
Sequence >>>>> Common ratio
A >>>>>>>>>>>>> 0.25
B >>>>>>>>>>>>> - 3
C >>>>>>>>>>>>> 1.5
From the above illustration,
Ordering the sequence from least to greatest common ratio, we have:
Sequence B, Sequence A, Sequence C.
PLEASE I NEED THE ANSWERS ASAP!!! Simplify the following:
1.√7 × √7
2.√18 × √2
3.√45
4.√50/5
5.2√2 × 4√5
6.√48 - √12
7.(2-√3) (1+√3))
1. √7 × √7 = √[7×7] = √[7²] = 7
2. √18 × √2 = √[18×2] = √36 = √[6²] = 6
3. √45 = √[9×5] = √9 × √5 = √[3²] × √5 = 3√5
4. [tex]\dfrac{\sqrt{50}}{5}=\dfrac{\sqrt{25\cdot2}}{5}=\dfrac{\sqrt{25}\cdot\sqrt2}{5}=\dfrac{5\cdot\sqrt2}{5}=\bold{\sqrt2}[/tex]
5. 2√2 × 4√5 = (2×4) × (√2×√5) = 8×√[2×5] = 8√10
6. √48 - √12 = √[16×3] - √[4×3] = √16×√3 - √4×√3 = 4√3 - 2√3 = 2√3
7. (2 - √3)(1 + √3) = 2×1 + 2×√3 + (-√3)×1 + (-√3)×√3 =
= 2 + 2√3 - √3 - √[3×3] = 2 + √3 - 3 = √3 - 1
The roots of 100x2 – 20x + 1 = 0 is:
Answer:
x = 0.1Step-by-step explanation:
[tex]100x^2-20x+1=0\\\\(10x)^2-2\cdot10x\cdot1+1^2=0\\\\(10x-1)^2=0\\\\10x-1=0\\\\10x=1\\\\x=0.1[/tex]
Please help I am not sure how to solve this problem.
Answer:
Measure of arc TSU = 201°
Step-by-step explanation:
For the inscribed circle of triangle XYZ, we have;
∠XZY = 21°
Segment TZ and segment UZ are tangent to circle R
Therefore, ∠ZUR = ∠ZTR = 90° (angle formed by a tangent)
Length UR = Length TR = Radius of circle R
∴ ΔZTR ≅ ΔZUR Side Angle Side (SAS) rule of Congruency
∴ ∠RZT ≅ ∠RZU, (Congruent Parts of Congruent Triangles are Congruent, CPCTC)
∠XZY = ∠RZT + ∠RZU (Angle summation)
21° = ∠RZT + ∠RZU = 2×∠RZU (Transitive property)
∠RZU = 21°/2 = 10.5° = ∠RZT
∴ ∠URZ = 180- 90 - 10.5 = 79.5° = ∠TRZ (CPCTC)
arc TU = ∠URT = ∠URZ + ∠TRZ = 79.5 + 79.5 = 159° (angle addition)
∴ Measure of arc TSU = 360° - 159° = 201° (Sum of angles at the center of the circle R)
Measure of arc TSU = 201°.
Please answer it now in two minutes
Answer:
59.0
Step-by-step explanation:
Given a right angled triangle, ∆XYZ, to know which trigonometric ratio formula to apply in finding the measure of angle X, note the following:
Opposite side to angle X = 6
Hypotenuse = 7
Therefore, we would apply the following trigonometric ratio formula to solve for m<X:
[tex] sin X = \frac{6}{7} [/tex]
[tex] sin X = 0.8571 [/tex]
[tex] X = sin^{-1}(0.8571) [/tex]
[tex] X = 58.99 [/tex]
[tex] m < X = 59.0 [/tex] (rounded to nearest tenth)