3) Write an explicit
formula for the
sequence:
45, 41, 37, 33
Answer and Step-by-step explanation:
f(n) = 45 - 4(n - 1)
This is the explicit formula for the sequence.
45 is the initial amount, which is why it is by itself.
The change in the sequence is take away 4, so this becomes a negative 4, which is then multiplied by (n - 1), where n is the term in the sequence.
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i need help please this is quite hard for me
Simplify: –3(y + 2)2 – 5 + 6y
What is the simplified product in standard form?
y2 +
y +
- 17 woule be the correct answer for the equation being simplified
Answer:
For edge
Step-by-step explanation:
The first one is -3
The second one is -6
The last one is -17
5[5y -6] = 4[y -7]
solve the equation by balancing the equation
Answer: 2/21
Step-by-step explanation:
5[5y -6] = 4[y -7]
We first need to open the bracket to be able to solve the question
25y - 30 = 4y - 28
Collect like terms
25y - 4y = -28 + 30
21y = 2.
y = 2/21
Therefore, the value for y is 2/21.
PLS HELP WITH THIS I NEED A GOOD GRADE
Step-by-step explanation:
4.5 approximately is the answer.Questions 7 and 8 please. Really need help thank you!!
Answer:
7) sin 60° = 25√3/Z
0.8660 = 25√3/Z
Z = 50
8) using the Pythagorean theorem:
50² = (25√3)² + y²
2500 = 1875 + y²
y² = 625
y = 25
Answer:
z = 50
y = 25
Step-by-step explanation:
Using the 30, 60, 90 triangle rule
you can figure this out.
The rule says
With a 30, 60, 90 triangle
Given the shorter leg, (side across the 30 degree angle,
To find longer leg (side across the 60 degree angle):
Multiple shorter leg by radical 3.
To find hypotenuse (side across the 90 degree angle):
Multiple shorter leg by 2.
Thus
Shorter leg (side opposite 30 degree): 25
Longer leg (side opposite 60 degree):
25 radical 3
Hypotenuse(side opposite 90 degree): 50
2.Use the digits given below to make the largest possible number
without repetition off digits. .Then round off nearest ten, hundred and
thousand
a) 2, 5,4 , 3, 6, 7
b) 0 ,9, 8, 7 ,6, 4
Answer:
1)765432
Nearest ten: 765430
Nearest hundred: 765400
Nearest thousand: 765000
2) 987640
Nearest ten: 987640
Nearest hundred: 987600
Nearest thousand: 988000
Not sure if this is what you want.
A box contains 3 pens, 2 markers, and 1 highlighter. Tara selects one item at random and does not return it to the box. She then selects a second item at random. What is the probability that Tara selects 1 pen and then 1 marker?
Answer:
1/5
Step-by-step explanation:
There are a total of 6 items in the beginning. In the first selection, there is a 3/6 chance that she selects a pen. Since she does not return it to the box, there are 5 items left. The possibility to select a marker is 2/5. Simply multiply the two fractions. You will get 1/5.
if y varies inversely as x, and y =35 when x =14, find x when y =15.
Answer:
[tex]x = 32 \frac{2}{3} [/tex]
Step-by-step explanation:
[tex]y = \frac{k}{x} ,where \: k \: is \: a \: constant.[/tex]
Let's find the value of k first.
When y= 35, x= 14,
[tex]35 = \frac{k}{14} [/tex]
k= 14(35)
k= 490
Substitute the value of k into the equation:
[tex]y = \frac{490}{x} [/tex]
When y= 15,
[tex]15 = \frac{490}{x} [/tex]
15x= 490
x= 490 ÷15
[tex]x = 32 \frac{2}{3} [/tex]
If 10% of a number is 12 and 45% of the same number is 54, find 35% of that number.
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Answer: 42
Explanation:
120 x .35 = 42
I hope this helped!
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42 is your answer
Answer:
let no be x
10% of x=12
x=1200/10=120
again
45% of x=54
x=5400/45=120
here
35% of 120=35/100×120=42
(PLEASE HELP)
What is the measure of the unlabeled angle in the triangle below?
A.38
B.40
C.49
D.89
Answer: B. 40
Step-by-step explanation:
We know that a triangle has to equal 180 degrees and we have measurements of two sides 49 and 91 we add those together to get 140 and subtract that from 180 to get you answer of B. 40
How would you write 12-^3 using a positive exponent?
12^3
12^0
12^3/1
1/12^3
Answer:
[tex] \frac{1}{ {12}^{3} }[/tex]
Step-by-step explanation:
[tex] {12}^{ - 3} = \frac{1}{ {12}^{3} } \\ [/tex]
Find the perimeter and area of the shape.
Answer:
The perimeter is 41
Step-by-step explanation:
The perimeter of a shape is just the sum of all its sides added up. In this case, that would mean the perimeter is:
12 + 9 + 9 + 4.6 + 6.4 = P30 + 11 = P41 = PHope this helps!
The sides of a right triangle are used to construct three squares, as shown below. The number of square units, representing area, is shown in two of the squares. A represents the area of the largest square.
1. We know that the distance formula will be be d=√((x_2-x_1)²+(y_2-y_1)²), then we can do x2-x1=3. Y2-Y1=5. 3x3+5x5=34, the square root of 34 is around 5.83. The answer is F.
The person with that spam is rude and wasted your time, sorry for that.
The solution is Option D.
The area of the square with the side having the hypotenuse of the triangle as the side is 34 units²
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Given data ,
Let the area of the square A be = S
Let the triangle be represented as ΔABC
The base of the triangle BC = 5 units
The height of the triangle AB = 3 units
So , the hypotenuse of the triangle AC = Side of the square A
And , from the Pythagoras theorem
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
Substituting the values in the equation , we get
AC² = AB² + BC²
AC² = 5² + 3²
AC² = 25 + 9
AC² = 34 units²
AC² = Area of the square A with side AC
Therefore , the value of S is 34 units²
Hence , The area of the square with the side having the hypotenuse of the triangle as the side is 34 units²
To learn more about triangles click :
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Simplify fully125y2/10xy
Answer:
12.5y/x
Step-by-step explanation:
125y²/10xy = 12.5y/x
A pair of sandals cost $34.00, and 5% tax is charged on the purchase. How much tax is paid?
Answer:
1.70 of tax is paid
Step-by-step explanation:
34(1+0.05) = 35.7
35.7-34= 1.70
1 represents out 100%
do 5% in decimal form which is 0.05
HELP PLEASE PLEASE!!!
Answer:
a) 20 feet
Step-by-step explanation:
8ft shadow - 5ft
32ft shadow - [tex]\frac{32}{8}[/tex] × 5ft = 20ft
Answer:
A
Step-by-step explanation:
Ratio from shadow to object
8:5
Given Shadow of tree = 32ft, (8x4)
Height of Tree = 5x4 = 20ft
A
Write a linear equation in slope intercept form using the given point and slope.
(6,-6); slope = 2/3
Answer:
2/3x-10
Step-by-step explanation:
y=mx+b
y=2/3x+b
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(6,-6). When x of the line is 6, y of the line must be -6.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the 2/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (6,-6).
So, why not plug in for x the number 6 and for y the number -6? This will allow us to solve for b for the particular line that passes through the point you gave!.
(6,-6). y=mx+b or -6=2/3 × 6+b, or solving for b: b=-6-(2/3)(6). b=-10.
so, y=2/3x-10
Can anyone answer this?
Step-by-step explanation:
a) First we will convert 150km/hr to m/s.
[tex] \frac{150km}{1hr} = \frac{(150 \times 1000)m}{(1 \times 60)s} \\ = \frac{150000m}{60s} \\ = 2500m \: per \: second[/tex]
=2500m/s, which is the initial speed of the plane.
b)Final Speed of plane = Speed when it stopped.
= 0m/s.
c)Time taken to stop = 3 seconds.
d)Using the kinematic equation,
v = u + at,
where v = Final Speed = 0m/s
u = Initial Speed = 2500m/s
a = acceleration
t = time taken = 3 seconds
Substitute v, u and t to find a.
[tex]0 = 2500 + 3a \\ 3a = - 2500 \\ a = - 2500 \div 3 \\ = - 833 \frac{1}{3} \frac{m}{ {s}^{2} } [/tex]
thank you for hurrying here is the very last one Explain how you would find the perimeter of this triangle.
Step-by-step explanation:
Use the method of TOA CAH SOH.
[tex]tan(51.3) = \frac{opp}{adj} \\ \tan(51.3) = \frac{u}{4} \\ u = 4 \tan(51.3) [/tex]
[tex] cos(51.3) = \frac{adj}{hypo} \\ \cos(51.3) = \frac{4}{v} \\ v \cos(51.3) = 4 \\ v = \frac{4}{ \cos(51.3) } [/tex]
Perimeter of triangle = Sum of all sides =
[tex]u \: + \: v + 4[/tex]
Answer:
use right angeled triangle method.
1. the area of a circle is 132.7 square inches. find the radius. round to the nearest tenth
2. in terms of pi, find the area of a 120 degree sector in a circle with a 6m radius
Answer:
no ):(
Step-by-step explanation:
Answer:
1. r ≈ 6.5in
2. 132
Step-by-step explanation:
1. A=πr2
Solving for r
r=A
π=132.7
π≈6.49921 in
2. = 120°/ 360° x 22/7 x 6²
= 1/3 x 22/7 x 6 x 6
= 22 x 6 x 6 / 7 x 3
= 22 x 6
= 462
Solve the proportion (last was wrong, i apologize to those who answered my previous one!!)
11/s = s/-6
Answer:
x=±√(-66)
(there is no real solution)
Step-by-step explanation:
Answer:
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jrgjgk
Step-by-step explanation:
jgjk
what’s the comparison to 3/25 and 22/25
Answer:
This is the answer. Hope it helps
Step-by-step explanation:
3/25<22/25
What is the common ratio of the sequence?
-2, 6, -18, 54,...
a. −3
b. −2
c. 3
d. 8
Answer:
A -3
Step-by-step explanation:
-2 x -3 = 6
6 x -3 = -18
-18x -3 = 54
Triangle ABC has the following measurements.
m
write an equation and solve for x
Answer:
4y
Step-by-step explanation:
What is the spread of the data?
A. 15 to 30 years
B. 18 to 25 years
C. 21 to 25 years
D. 18 to 21 years
Winnie has 7 soccer trophies she wants to arrange in an array. How many different arrays are possible?
Answer:
5040 possible arrangements
Step-by-step explanation:
Given
[tex]Trophies = 7[/tex]
Required
Possible arrangements
The 1st can be placed in any 7 positions
The 2nd, in 6 positions
-----
--
-
Up till the last in 1 position
So, the number of arrangements is:
[tex]Arrangements = 7 * 6 * 5 * 4 * 3 * 2 * 1[/tex]
[tex]Arrangements = 5040\ ways[/tex]
Consider the function f(x) =2x-6 find f(2)
Step-by-step explanation:
✧ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V \: E\: N}}} } : [/tex]
f ( x ) = 2x - 6✧ [tex] \underline{ \underline{ \large{ \tt{T\: O \: \: F\: I\: N\: D}}}}: [/tex]
value of f ( 2 )✧ [tex] \underline{ \underline{ \large{ \tt{S \:O \: L \: U \: T \: I \: O \: N}}}} : [/tex]
❀ [tex] \large{ \text{When \: x = 2 ,\: f}(2) = 2 \tt{ \times 2 - 6}}[/tex]
⟼ [tex] \large{ \text{f(2) = 4 - 6 = \boxed{ \large{ \text{ - 2}}}}}[/tex]
♨ [tex] \boxed{ \boxed{ \large{ \text{OUR\: FINAL \: ANSWER : \boxed{ \underline{ \bold{ \text{ - 2}}}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ♪
Let me know if you have any questions regarding my answer! ☄
☃ [tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕
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Toby found a $52 wallet on the clearance
rack for 60% off. If sales tax is 6.25%, how
much will he pay in total?
A.$22.10
B.$23.75
C.$28.50
D.$33.15
Answer:
A. $22.10
Step-by-step explanation:
52 x 0.4 = 20.8
20.8 x 1.0625 = 22.1
What is the volume of this rectangular prism?
3/5cm 4/3cm 3cm
Answer:
The volume is 2.4
Answer:
2.4 cm
Step-by-step explanation:
Length× Width × Height
[tex]\frac{3}{5}[/tex] × [tex]\frac{4}{3}[/tex] × [tex]\frac{3}{1}[/tex] = [tex]\frac{36}{15}[/tex]
[tex]\frac{36}{15} = \frac{12}{5}[/tex]
12÷5= 2.4