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Answer:
(x, y, z) = (2+44t, 2+14t, 7-20t)
Step-by-step explanation:
One way to write parametric equations for line L is ...
L = P + t·v
where P is the given point and v is the given direction vector. Using that form, we have ...
(x, y, z) = (2+44t, 2+14t, 7-20t)
__
If you like, you can remove a common factor of 2 from the coefficients of t.
(x, y, z) = (2+22t, 2+7t, 7-10t)
19 POINTS the answer is not the first or second option I’m maybe think the last one
Mrs. Fox met with 120 students. If three- quarters were girls, how many boys were at the meeting
Answer:30 boys
Step-by-step explanation: There are 120 students, three-fourths are girls. Nine out of twelve is equal to three fourths, if you add a zero to the end of twelve and nine you get 90 out of 120, which is how many girls there are. If you subtract 90 from 120 you get 30 or one-fourth. The number of boys is equal to one-fourth because there is only one-foutlrth left. So, there are 30 boys.
Write 11 k-6 (2k+5)in expanded form and find the sum
Answer:
Option B
Step-by-step explanation:
Expression representing the series is,
[tex]\sum_{k=6}^{11}(2k+5)[/tex]
Here, k = Number of terms
By placing k = 6, 7, 8, 9, 10, 11 in the expression we can get the terms of the series.
For k = 6,
(2k + 5) = 2(6) + 5
= 17
For k = 7,
(2k + 5) = 2(7) + 5
= 19
For k = 8,
(2k + 5) = 2(8) + 5
= 21
For k = 9,
(2k + 5) = 2(9) + 5
= 23
For k = 10,
0(2k + 5) = 2(10) + 5
= 25
For k = 11,
(2k + 5) = 2(11) + 5
= 27
Therefore, expanded form will be,
17, 19, 21, 23, 25, 27
There, is a common difference in each successive to previous term,
d = 19 - 17
d = 2
Number of terms 'n' = 6
First term = 17
Sum of an arithmetic sequence is given by,
[tex]S=\frac{n}{2}[2a+(n-1)d][/tex]
Therefore, sum of the given sequence will be,
[tex]S=\frac{6}{2}[2(17)+(6-1)2][/tex]
= 3(34 + 10)
S = 132
Option B will be the correct option.
Hi I'm bad at math the questions is -r - 20r = please help
Answer:
−21r
Step-by-step explanation:
Combine Like Terms:=−r+−20r
=(−r+−20r)
=−21r
Answer:=−21r
please click the crown button (brainliest) thanks!!hope this helps!! <3
Can the surface area of a sphere and the volume of a sphere be the same numerical value if the units are measured relative to the same unit of length?
A. Yes; the radius would need to be the unit radius, 1.
B. Yes; the radius would need to be 3.
C. No, the surface area would always be greater than the volume.
D. No, the volume would always be greater than the surface area.
Answer:
Volume = surface area
[tex]\frac{4}{3}\pi r^3 = 4\pi r^2\\\\\frac{r}{3} = 1\\r = 3[/tex]
option B
Solve the equation
X/x+2 - 4/x-2=1
Answer: - 2/3 but in decimal form it is -0.6 repeating
Step-by-step explanation:
Select all the statements about rotations that are true
A- The shapes of the figure does not change.
B- The positions of the figure does not change.
C- The size of the figure does not change.
D- The orientation of the figure does not change.
E- The coordinates of the figure do not change.
Please help I will give 100 points
Answer:
a. true
b. false
c. false
d. true
e. false
Step-by-step explanation:
A. true, a shape is not warped by a rotation
b. false, the points on the figure will change
c. false, the size is not affected by a rotation
d. true, the orientation changes in a rotation
e. false, the coordinate points on the figure are altered
Answer:
A- The shapes of the figure does not change.
C- The size of the figure does not change.
D- The orientation of the figure does not change
Based on Milton Friedman's observations, it is likely that he would agree that socialism provides the best government for which a free market can exist.
Please select the best answer from the choices provided
T
F
Answer:
False
Step-by-step explanation:
I did the E2020 assignment
5 and 1/4 - 4 and 1/2
Step-by-step explanation:
answer: 3/4 or 0.75
=5 1/4 - 4 1/2
=21/4 - 9/2
= (21-9) / 4
=3/4 or 0.75
What is the shape of the cross-section formed when a cylinder intersects a
plane as shown in the drawing?
O A. circle
B. oval
C. rectangle
OD. square
Answer: circle
Step-by-step explanation:
The shape of the cross-section is formed when a cylinder intersects the plane is a circle option (A) is correct.
What is a cylinder?In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.
We know the volume of the cylinder is given by:
[tex]\rm V = \pi r^2 h[/tex]
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
As we know, the circle is a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
As we can see in the picture the cylinder is cut by a plane that is parallel to the base of the cylinder.
The base of the cylinder is a circle.
the shape of the cross-section is formed when a cylinder intersects a
the plane is a circle.
Thus, the shape of the cross-section is formed when a cylinder intersects the plane is a circle option (A) is correct.
Learn more about the cylinder here:
brainly.com/question/3216899
#SPJ2
explain why a3*a2 dosnt equal a6... Plz I need help!
Answer: a^3 · a^2 ≠ a^6 as the laws of exponents states that the multiplication rule for two exponents with the same bases equates to addition, so that a^3 · a^2 = a^3+2 = a^5.
9 - x < - 11
Show steps please
Answer: x > 20
Step-by-step explanation:
9 - x < - 11
In this scenario, we've to collect like terms in order to.wolve for x. This will be:
9 - x < - 11
- x < - 11 - 9
- x < - 20
Divide both side by -1
-x/-1 < -20/-1
When we divide by a coefficient with minus sign, the sign changes too from less than to greater than
-x/-1 < -20/-1
x > 20
PLEASE HELP ME
Arnold deposits $6,000 into a certificate of deposit that pays 8% interest compounded quarterly . How much interest does his account earn in the first 3 years?
Answer:
8
Step-by-step explanation:
The estimated difference of 3209 and 1893, when rounded off to the nearest ten is
o(a) 1300
(b) 1310
(c) 1320
0 (d) 1000
Answer:
[tex] = (3209) - (1893) \\ = 1.32 \times {10}^{3} \\ = 1320[/tex]
[tex] \small{ \star{ \underline{ \blue{becker}}}}[/tex]
Answer:
1320
Step-by-step explanation:
round off
3209 ≈ 3210
1893 ≈ 1890
estimated difference = 3210 - 1890 = 1320
In ∆PQR, ∠P = 90degrees , PQ= 12 cm, PR=16cm. Find ∠Q
Answer:
∠Q = 53.13 degrees
Step-by-step explanation:
Given that ∆PQR, ∠P = 90degrees , this means that the triangle is a right angled triangle
Hence using the notation
SOH CAH TOA
where S is sine, C is cosine, T is tangent and O, A and H represents the size of the opposite, adjacent and hypotenuse sides
Considering ∠Q and the given sides
PR=16cm is the opposite side,
PQ= 12 cm is the adjacent side hence we use TOA
Tan Q = 16/12 =
Q = Arc tan 16/12
= 53.13 degrees
What is the area of the triangle?
Answer:
Area of triangle 12 ft^2 Area of shaded region 84 ft^2
Step-by-step explanation:
area of triangle 6 x 4 / 2 =12
Shaded region 96-12= 84 ft^2
Find the value of (6^0 − 7^0) × (6^0 + 7^0)
Answer:
-13
Step-by-step explanation:
6-7 x 6+7
-1 x 13
-13
write in algebraic expression the difference between a number m and the product of m and n. If you can help it would mean a lot
Answer:
m - mn
Step-by-step explanation:
The two numbers are denoted by m and n respectively.
From the question, we can deduce the following points;
- the difference between m and another variable (mn).
- product or multiplication of m and n.
Translating the word problem into an algebraic expression, we have;
m - (m*n)
m - mn
what is the volume of a sphere if the radius is 9?
ANSWER IN TERMS OF PI !!!
The coordinates of 4 points are A(0,9), B(k + 1, k + 4), C(2k, k + 3) and
D(2k + 2, k + 6). Find the value(s) of k if
(a) the points A, B and C are collinear,
(b) AB is parallel to CD.
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Answer:
(a) 2 or 3
(b) -13
Step-by-step explanation:
(a) A, B, and C are collinear if there is some constant 'c' such that ...
B - A = c(C - A)
This will give rise to two equations in 'c' and 'k'.
(k +1, k +4) -(0, 9) = c((2k, k+3) -(0, 9))
(k +1, k -5) = c(2k, k -6)
And the two equations are ...
k +1 = 2ck
k -5 = c(k -6)
From the first, we find ...
c = (k +1)/(2k)
From the second, we find ...
c = (k -5)/(k -6)
Equating these expressions for c gives ...
(k +1)/(2k) = (k -5)/(k -6)
(k +1)(k -6) = 2k(k -5) . . . . . . . multiply by 2k(k-6)
k^2 -5k -6 = 2k^2 -10k
0 = k^2 -5k +6 = (k -3)(k -2)
Solutions that make the factors zero are ...
k = 3 or k = 2
There are two values of k that make the points collinear: 2 and 3.
__
(b) AB is parallel to CD when the slopes of the lines between them are the same
slope of AB = (k+4 -9)/(k+1 -0) = (k -5)/(k +1)
slope of CD = ((k +6 -(k +3))/(2k +2 -2k) = 3/2
Equating these slopes and solving for k, we get ...
(k -5)/(k +1) = 3/2
2(k -5) = 3(k +1)
2k -10 = 3k +3
-13 = k
AB is parallel to CD when k = -13.
_____
The attached shows the collinear points on the red and blue lines. The points that make parallel lines are shown on the purple lines. (The purple circles correspond to points D for k=2 and 3, so are irrelevant.) Point D is not labeled with its coordinates, (-24, -7).
Pls help I’ll brainlest ASAP
Answer:
A) -1
Step-by-step explanation:
anything raised to the zero power is 1 but if there is a negative without parentheses around it then it becomes -1
ex, (-4)° = 1
Answer:
It would be -1.
Step-by-step explanation:
This is because any postive number to the power of 0 equals 1 but since there is a negative sign, it would become -1.
please help, seventh grade math problem
Answer:
12
Step-by-step explanation:
divide into two shapes. the first one being 2 x 4 units and the second being 2 x 2.
2 x 4 = 8
2 x 2 = 4
8 + 4 = 12
The answer is 12 square units.
Please mark brainliest if it was correct and helped!
Answer:
12
Step-by-step explanation:
just count the blocks
brainliest please???
please help will mark brainlist!!
Answer:
x=28
y=28
Step-by-step explanation:
Equation 1:
Dived both sides by 0.75 to remove 3/4 from x.
(x-12)=16
Now, add 12 to both sides.
x=28
Equation 2:
Same here, divide both sides by 0.75.
y-12=16
Add 12 to both sides.
y=28
Find the measure of an angle in standard position for each reference angle.
Step-by-step explanation:
1. 90+65= 155°
2. π+ π/6 = 7π/6 or 210°
3. 24+180=204°
4. 3π/2 + 2π/9 = (27π+4π)/18 = 31π/18
or 310°
quickly help 1//////////////////////////////////
Answer:
1 [tex]\frac{2}{8}[/tex]
Step-by-step explanation:
The largest is 1 [tex]\frac{4}{8}[/tex], and the smallest is [tex]\frac{2}{8}[/tex]. 1 [tex]\frac{4}{8}[/tex] - [tex]\frac{2}{8}[/tex] = 1 [tex]\frac{2}{8}[/tex].
A loan of $7,000 for 4 acres of woodland is compounded somiannually at an annual rate of 8% for 3 years.
How much INTEREST is paid at the end of 3 years?
Answer:
$560
Step-by-step explanation:
If the square of a positive integer is added to four times to integer the result is 117 find the integer.
Answer:
x = -2 ± 452i
Step-by-step explanation:
x² + 4x = 117
x² + 4x - 117 = 0
if you solve this quadratic by using the quadratic formula you get:
x = -2 ± 452i
452i is an imaginary number that equals [tex]\sqrt{-452}[/tex]
How much would you need to deposit into an account that pays 6.5% interest compounded semiannually to have $10,000 after 7 years?
Answer:
6390.56
Step-by-step explanation:
[tex]AV=PV(1+\frac{i}{n})^{nt}\\10000=x(1+\frac{.065}{2})^{7*2}\\10000=1.564807232*x\\6390.53=x[/tex]
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Answer:
$6490.57
Step-by-step explanation:
The future value is given by the compound interest formula ...
A = P(1 +r/n)^(nt)
Principal P earns annual rate r compounded n times per year for t years.
Filling in the given values, we have ...
10000 = P(1 +0.065/2)^(2·7) = P(1.0325^14)
P = 10000/1.0325^14 ≈ 6390.5635
You would need to deposit $6390.57 into the account to have $10,000 in 7 years.
_____
Additional comment
Using the rounded-down result of the computation will result in a value after 7 years of $9,999.99, not quite $10,000. Rounding the computed value up to $6390.57 ensures the account balance will actually be $10,000.00 after 7 years.
If the balance is rounded to the nearest penny each time interest is added, then the balance after 7 years will be exactly $10,000.00. If there is no intermediate rounding, the resulting balance will be $10,000.01.
Most of the time, the answer key doesn't pay attention to details like this. Your expected answer may be $6390.56, or $6391 if rounded to dollars.
What is the area of this quadrilateral?
2 ft
4 ft
6 ft
6 ft
4 ft
2 ft
A. 28 square feet
0
B. 48 square feet
a o
C. 18 square feet
D. 36 square feet
Answer:
the answer would be a
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
just got it correct
The matching section of an exam has 3 questions and 7 possible answers. In how many different ways can a student answer the 3 questions, if none of the answer choices can be repeated?
O combination
O permutation
Answer:permutations
Step-by-step explanation: