Answer:
Step-by-step explanation:
a1 = - 7
d = 4
an = a1 + (n - 1) * d
an = - 7 + (n - 1) * 4
an = - 7 + 4n - 4
an = -11 + 4n
Try this out. Let n = 3
a3 = -11 + 4*3
a3 = - 11 + 12
a3 = 1 Which is what the series says.
What are the x-coordinates of the solutions to this system of equations? x2 + y2 = 100 y = x + 2
Answer:
x = - 8, x = 6
Step-by-step explanation:
Given the 2 equations
x² + y² = 100 → (1)
y = x + 2 → (2)
Substitute y = x + 2 into (1)
x² + (x + 2)² = 100
x² + x² + 4x + 4 = 100
2x² + 4x + 4 = 100 ( subtract 100 from both sides )
2x² + 4x - 96 = 0 ( divide through by 2 )
x² + 2x - 48 = 0 ← in standard form
(x + 8)(x - 6) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 8 = 0 ⇒ x = - 8
x - 6 = 0 ⇒ x = 6
2. En una división el dividendo es 445, el divisor es 32, el cociente es 14 y el resto es 7. ¿Está bien hecha? Compruébalo de dos maneras diferentes
Respuesta:
El cálculo no está bien hecho.
el cociente es 13
El resto es 29
Explicación paso a paso:
Dividendo = 445
Divisor = 32
Cociente = 14
Resto = 7
445/32 = 13,90625
El cociente = 13
Resto = (13.90625 - 13) * 32
Resto = 0.90625 * 32
Resto = 29
Por lo tanto, el cálculo no se realiza correctamente ya que el cociente es 13 y el resto es 29
simplify.
1/4(1−2/3)2+1/3
Answer:
1/2
Step-by-step explanation:
1/4(1−2/3)2+1/3
1/4(1 /3)2+1/3
1/12*2+1/3
1/6 + 1/3
1/6 + 2/6
3/6
1/2
Lines c and d are parallel lines cut by transversal p.
Horizontal and parallel lines c and d are cut by transversal p. On line c where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 1, 2, 3, 4. On line d where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 5, 6, 7, 8.
Which must be true by the corresponding angles theorem?
A. ∠1 ≅ ∠7
B. ∠2 ≅ ∠6
C. ∠3 ≅ ∠5
D. ∠5 ≅ ∠7
Answer:
Option (B).
Step-by-step explanation:
Here there are two parallel lines c and d cuts by a transversal p.
The angles are formed as shown in diagram.
Here,
[tex]\angle 1 = \angle 7 (alternate)\\\\\angle 2 = \angle 6 (corresponding)\\\\\angle 3 = \angle 5 (alternate)\\\\\angle 5 = \angle 7 (alternate)[/tex]
So, the option (B) is correct.
If the expression below is equal to yᵃ for all positive values of y, what is the value of a?
Answer:
y^5/12
Step-by-step explanation:
y ^ 1/4 * y ^ 1/2
-------------------------
y ^ 1/3
We know a^b * a^c = a^(b+c)
y^ 1/4 * y^1/2 = y^ (1/4+1/2) = y^(1/4+2/4) = y^(3/4)
y ^ 3/4
---------
y ^ 1/3
We know a^b / a^c = y(b-c)
y^(3/4 - 1/3) = y^(9/12 - 4/12)
y^5/12
A line has slope - 3/4 and y-intercept 5.
What is the equation of the line?
Answer:
Y = MX + b
y = -3/4 X + 5
Step-by-step explanation:
find the mean of the following,-6,-10,-4,8,9,-2,5,6.
[tex]mean = \frac{sum \: of \: all \: observations}{number \: of \: observations} \\ = > mean = \frac{( - 6) + ( - 10) + ( - 4) + 8 + 9 + ( - 2) + 5 + 6}{8} \\ = > mean = \frac{6}{8} \\ = > mean = 0.75[/tex]
This is the answer.
A bird watcher spied a woodpecker. The bird watcher is 40 yards lower than the woodpecker. The distance from the bird watcher to the woodpecker is 175 yards. What is the angle of elevation?
Answer:
13.2°
Step-by-step explanation:
The solution triangle attached below :
Using trigonometry :
The angle of elevation, θ can be obtained using the opposite side and hypotenus :
Sin θ = opposite / hypotenus
Sin θ = 40 / 175
θ = Sin^-1(40/175)
θ = 13.2°
A=131+122+199+204 trả lời cho tớ đi
Answer:
A=656 trả lời cho tớ đi...
Find the value of DE.
Answer:
DE = 5
Step-by-step explanation:
The 3 sides of the triangle are congruent , then
DF = EF , that is
[tex]\frac{2}{5}[/tex] a - 15 = [tex]\frac{1}{5}[/tex] a - 5 ( multiply through by 5 to clear the fractions )
2a - 75 = a - 25 ( subtract a from both sides )
a - 75 = - 25 ( add 75 to both sides )
a = 50
Then
DE = EF = [tex]\frac{1}{5}[/tex] × 50 - 5 = 10 - 5 = 5
If you draw a card with a value of three or less from a standard deck of cards, I will pay you $43, If not, you pay me $11 (Aces are considered the highest card in the deck.) Step 1 of 2 : Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values
Answer:
$1.46
Step-by-step explanation:
Required cards for winning :
1's, 2's and 3's
There are 4 cards of each in a total of 52 cards ;
Therefore, number of winning cards ;
(4 * 3) = 12 cards
Hence,
P(winning) = 12 / 52 = 3 / 13
P(not winning) = 1 - 3 /13 = (13 - 3) / 13 = 10/13
Earning (X)
Amount earned for winning = $43
Amount lost for not winning = $11
X ___ $43 ______ - $11
P(X) _ 3/13 _______ 10/13
Expected value, E(X) = ΣX*P(X)
Σ(X) = (43 * 3/13) + (-11 * 10/13)
E(X) = 9.9230769 - 8.4615384
E(X) = 1.4615385
E(X) = $1.46
Yoo plz answer quickly
ooof 2 weeks ago, sorry mate, i want the points doe...
Ethan says that (2x+5)/2 can be reduced to x + 5. Braylon says this is not correct. Who is right and why?
Answer:Braylon is right
Step-by-step explanation:
it is reduced to x+5/2
Answer:
Braylon is correct, after dividing the numbers given I got _::x+5/2::_
and it cant be simplified more
How many tacos could you buy on a Wednesday with 20 dollars and tacos cost 50. cents
Answer:
40 tacos
Step-by-step explanation:
Step 1: Determine how many tacos you can buy
Cost of one taco: $0.50
Money in wallet: $20
So for every $1 you can buy 2 tacos. Therefore, 20 * 2 = 40 tacos
Answer: 40 tacos
Answer:40 tacos
Step-by-step explanation: because yeah
This drawing would be a step in finding which point of concurrency in a triangle?
A. orthocenter
B. incenter
C. centroid
D. circumcenter
Answer:
A. Orthocenter
Step-by-step explanation:
In the given triangle, ΔWKS, the drawing shown the construction of a perpendicular line to the side KS that pass through the vertex W of ΔWKS. Therefore, the completed construction gives an altitude of the triangle ΔWKS
Repeating the same procedure from the vertex S to construct the perpendicular line (altitude) to the side WK, and from the vertex K the perpendicular line (altitude) to the side WS gives the three altitudes of the triangle
The point of intersection (the point of concurrency) of the three altitudes is the orthocenter of the triangle and the drawing would therefore be a step in finding the orthocenter of a triangle.
Answer:
orthocenter
Step-by-step explanation:
Find the missing side length, and enter your answer in the box below. If
necessary, round your answer to 2 decimal places.
c
3
4
Answer:
Assuming a triangle, 5. 3, 4, 5 triangles are classic right triangles.
CAN SOMEONE HELP MEEEE OUTTT!!!
Step-by-step explanation:
the answer is sqrt(7)
using pythagoras theorem
someone help me solve this pls !!
Answer:
9 (or 18)
9 (or 18)
18 (or 36)
Step-by-step explanation:
If B is midpoint if AC, then AB = BC
AB = 3x
BC = 5x - 6
So...
3x = 5x - 6
==> 2x = 6
==> x = 3
AB = BC = 3×3 = 5×3 - 6 = 9
And...
AC is AB + BC (since B is midpoint)
==> AC = 9 + 9 = 18
((Answer may be twice this. Picture is unclear if "3x" and "5x - 6" are values of AB and BC (resp.) or if they are midpoint values of AB and BC, in which case everything would just be doubled (except for x, the 2's would cancel out).))
The measures of a rectangle are 8 inches by 15 inches. Find the length of the diagonal.
Answer:
17
Step-by-step explanation:
The diagonal forms a triangle.
Use the Pythagorean theorem
Diagonal = sqrt(8^2 + 15^2)
Diagonal = sqrt(64 + 225)
Diagonal = sqrt( 289)
Diagonal = 17
Answer: 17 inches
In a shipment of airplane parts, 6% are known to be defective. If 42 parts are found to be defective, how many parts are in the shipment?
Answer:
700 parts
Step-by-step explanation:
To find the total amount of parts in the shipment, all we need to do is divide.
6% = 0.06
42 / 0.06 = 700
Best of Luck!
Somebody give the answer to the question attached please
Find TV is TJ = 4 .
Answer:
TV = 6
Step-by-step explanation:
The distance from the vertex to the centroid is twise the distance from the centroid to the midpoint, then
JV = [tex]\frac{1}{2}[/tex] TJ = [tex]\frac{1}{2}[/tex] × 4 = 2
Then
TV = TJ + JV = 4 + 2 = 6
A football was kicked through the air and it followed the path h\left(s\right)=-3s^2+75h(s)=−3s 2 +75 . Let h\left(s\right)h(s) represent the height of the soccer ball after, s, seconds.
Complete question is;
A soccer ball was kicked through the air and it followed the path. Let h(s) = −3s² +75 represent the height of the soccer ball after s seconds.
Find the time at which the soccer ball hits the ground.
Answer:
s = 5 seconds.
Step-by-step explanation:
We are given the function;
h(s) = −3s² +75
Where;
h(s) is height at time s
s is the time taken
Now, the time at which the time at which the soccer ball hits the ground would be at h(s) = 0 since height is at 0 point.
Thus;
−3s² +75 = 0
−3s² = -75
s² = 75/3
s² = 25
s = √25
s = 5 seconds.
What is sin 28°?
62
8
17
90
15
28
A.
Sooden
O c.
O
Answer:
the sin of 28 degree is 28
Step-by-step explanation:
it's the same degree in radians I hope this help
Examine circle O, where chords AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are congruent.
Point P lies on AB¯¯¯¯¯¯¯¯ and point Q lies on CD¯¯¯¯¯¯¯¯.
Angles APO and DQO are right angles.
The diagram as described in the problem.
Which congruence statement is true?
CD≅AP
QD≅QO
OP≅OQ
OP≅AB
Can someone help me please
Answer:
ok
Step-by-step explanation:
Find the value of x.
B
X+2
3
D
E
х
2
А
x = [?]
Answer:
x = 4
Step-by-step explanation:
The line DE is parallel to AC and divides the sides proportionally, that is
[tex]\frac{BD}{AD}[/tex] = [tex]\frac{BE}{CE}[/tex] , substitute values
[tex]\frac{x+2}{x}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )
3x = 2(x + 2) = 2x + 4 ( subtract 2x from both sides )
x = 4
Someone help me pls ..
Answer:
because they are both in the circle
Step-by-step explanation:
Find the value of x for the right triangle.
shanika has a lamp that she wants to send to her sister in baltimore.the lamp is in the shape of a rectangular prism.it measures 14 high, 9 wide, and 3 long.she wants to buy a box so that there is 1 all around the lamp for bubble wrap
Consider we need to find the dimensions and volume of the box.
Given:
The shape of the lamp is a rectangular prism.
It measures 14 high, 9 wide, and 3 long.
There is 1 all around the lamp for bubble wrap
To find:
The dimensions and volume of the box.
Solution:
Length of the box is:
[tex]3+2=5[/tex]
Width of the box is:
[tex]9+2=11[/tex]
Height of the box is:
[tex]14+2=16[/tex]
Therefore, the dimensions of the box are 5 by 11 by 16 units.
The volume of the box is:
[tex]V=l\times w\times h[/tex]
Where, l is length, w is width and h is height.
Putting [tex]l=5, w=11, h=16[/tex], we get
[tex]V=5\times 11\times 16[/tex]
[tex]V=880[/tex]
Therefore, the volume of the box is 880 cubic units.
