Answer:
A recursive formula always uses the preceding term to define the next term of the sequence. Sequences can have the same formula but because they start with a different number, they are different patterns.
Step-by-step explanation:
hope this helps
Write in expression
multiply the quotient of 10 and r by 4
Answer:
10/r x 4
Step-by-step explanation:
The diagram shows two straight lines
Work out the value of x.
Answer:
x = 136
Step-by-step explanation:
The angles are vertical angles and vertical angles are equal
Please help !! Don’t understand :((
Answer:
6
Step-by-step explanation:
6 ^ (1/4) ^ 4
We know a^ b^ c = a^(b*c)
6 ^ (1/4*4)
6^1
6
Answer:
C. 6
Step-by-step explanation:
Multiply the exponents on the expression
1/4 x 4 = 1
This simplifies to 6^1 or 6
Expand the following 2(x+3)
Answer:
2x + 6
Step-by-step explanation:
2 will multiply everything inside the bracket.
2 x X =2x
2 X 3=6
The expansion of the given expression is 2x+6.
Th given expression is 2(x+3).
What is the distributive property?The distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC.
The given expression can be solved as follows:
Now, 2(x+3)
= 2×x+2×3
= 2x+6
Therefore, the expansion of the given expression is 2x+6.
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A Cepheid star is a type of variable star, which means its brightness is not constant. The relationship between the brightness of a
Cepheid star and its period, or length of its pulse, is given by M = -2.78(log P) - 1.35, where M is the absolute magnitude, or
brightness of the star, and Pis the number of days required for the star to complete one cycle. What is the absolute magnitude of
a star that has a period of 45 days? Use a calculator. Round your answer to the nearest hundredth.
-5.95
-4.60
3.25
4.60
Answer:
-5.95 on edge
Step-by-step explanation:
The absolute magnitude of a star that has a period of 45 days is -5.95.
What is the magnitude of a star?magnitude, in astronomy, measures the brightness of a star or other celestial body. The brighter the object, the lower the number assigned as a magnitude. In ancient times, stars were ranked into six magnitude classes, the first magnitude class containing the brightest stars.
How do you find the magnitude of a star?Mv = m - 2.5 log[ (d/10)2 ]. Stars farther than 10 pc have Mv more negative than m, that is why there is a minus sign in the formula. If you use this formula, make sure you put the star's distance d in parsecs (1 pc = 3.26 ly = 206265 AU).
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The absolute magnitude of a 45-day star is -5.95.
How big is the star?The magnitude measures the brightness of a star or other celestial body in astronomy. The brighter the object, the lower the number assigned as a magnitude. In ancient times, stars were divided into six magnitudes, the first of which contained the brightest stars.
How do you find the size of a star?Mv = m-2.5log [(d / 10) 2]. Stars over 10 pc have a minus sign in the formula because Mv is more negative than m. When using this formula, enter the star distance d in parsecs (1 pc = 3.26 Ly = 206265 AU).
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choose the correct correspondence. Line B A) R B) S C)T
Answer:
BA RB SC T
Step-by-step explanation:
Answer:
The answer is T
Plzz help, will mark brainlest!
Solve -3+7y=5x+2y when x=-5
Answer:
y = -22/5
Step-by-step explanation:
-3+7y=5x+2y
Subtract 2y from each side
-3+7y-2y=5x+2y-2y
-3 +5y = 5x
Add 5 to each side
5y = 5x+3
Divide each side by 5
y = 5x/5 +3/5
y = x +3/5
Let x = -5
y = -5 + 3/5
y = -25/5 +3/5
y = -22/5
Answer:
[tex]y=-\frac{22}{5}[/tex]
Step-by-step explanation:
[tex]-3+7y=5x+2y\\x=-5[/tex]
Replace:
[tex]-3+7y=5(-5)+2y\\-3+7y=-25+2y[/tex]
Subtract -2y
[tex]-3+7y-2y=-25[/tex]
Add 3
[tex]7y-2y=-25+3[/tex]
Combine like terms;
[tex]5y=-22[/tex]
Divide by 5.
[tex]y=-\frac{22}{5}[/tex]
Proof
[tex]For x=-5, y=-\frac{22}{5}[/tex]
[tex]-3+7y=5x+2y[/tex]
[tex]-3+7(-\frac{22}{5} )=5(-5)+2(-\frac{22}{5} )[/tex]
[tex]-3-\frac{154}{5}=-25-\frac{44}{5}[/tex]
To make it easier to solve, add 154/5
[tex]-3=-25-\frac{44}{5}+\frac{154}{5}[/tex]
Now add 25
[tex]-3+25=-\frac{44}{5}+\frac{154}{5}[/tex]
Combine like terms;
[tex]22=\frac{110}{5} \\22=22[/tex]
what is answer i need it
Answer:
1/24
Step-by-step explanation:
In order to find the probability of a compound event, you have to multiply the probability of each event occurring together.
The probability of choosing a female is 1/2. There are only 2 genders.
The probability of choosing long hair is 1/3. There are three different lengths of hair to choose from.
The probability of choosing red hair is 1/4. There are four different hair colors to choose from!
Multiply all these probabilities:
1/2 * 1/3 * 1/4
= 1/24
In triangle MNP, medians NQ and PR intersect at S. If PS = 8 and QS = 3 then which of the following is the value of NQ + PR
(1) 21
(2) 22
(3) 26
(4) 30
Answer:
(2) 22
Step-by-step explanation:
In the given triangle MNP, the medians are straight lines drawn from the angle to opposite side so as to divide the side into equal parts.
PS = 8 and QS = 3, thus;
PS = NS = 8 (congruent property of ΔRSN and ΔQSP)
QS = SP = 3 (congruence property)
So that,
NQ = NS + SQ
= 8 + 3
= 11
PR = PS + SR
= 8 + 3
= 11
Thus;
NQ + PR = 11 + 11
= 22
Therefore, NQ + PR = 22
Mike buys three cans of pop per week. This is one more than two fifths the number of cans of juice Mike buys per week. Determine the number of cans of juice Mike buys per week.
Answer:
5
Step-by-step explanation:
Mike buys 3 cans of pop per week and this is one more than 2/5 of the number of cans of juice that he buys.
Let the number of cans of juice be j and let the number of cans of pop be buys be p.
This means that:
p = 1 +2j/5
Make j subject of formula:
p - 1 = 2j/5
=> 2j = 5p - 5
j = ½(5p - 5)
p = 3 (from the question)
Therefore:
j = ½(5 * 3 - 5) = ½(15 - 5)
j = ½ * 10 = 5
Mike buys 5 cans of juice per week.
Solve each equation, and then choose the correct answer.
-7x +4x -11=22
Drag answer here
3x - 5 = 7
Drag answer here
3(x + 7) = 5x
-7
Drag answer here
2(x-5) + 3x =20
Drag answer here
6
-6
4
-11
14
11
Answer:
1: -7x +4x -11=22 Answer: x=−11
2: 3x - 5 = 7 Answer: x=4
3: 3(x + 7) = 5x -7 Answer: x=14
4: 2(x-5) + 3x =20 Answer: x=6
Step-by-step explanation
1: x=−11
2: x=4
3: x=14
4: x=6
Above is the answers.
Down is the steps of the questions.
Example for question 1
1: Step 1: Simplify both sides of the equation.
2: Step 2: Add 11 to both sides.
3: Step 3: Divide both sides by -3.
Hope this helps.
A box measures 4 units by 2 and 1/2 units, by 1 and 1/2 units. What is the greatest number of cubes with a side length of 1/2 unit that can be packed inside the box?
Answer:
120 cubes
Step-by-step explanation:
First we need to find the volume of the box and the volume of the cube.
Volume of box = 4 * 2.5 * 1.5 = 15 cubic units
Volume of cube = 0.5 * 0.5 * 0.5 = 0.125 cubic units
Now, to find how many cubes can be packed inside the box, we just need to divide the volume of the box by the volume of the cube:
number of cubes = volume of box / volume of cube
number of cubes = 15 / 0.125 = 120 cubes
The last step in a proof contains the
Step-by-step explanation:
I don't understand the question
Which of the following best describes the lines y = 5 and
x = -3?
A)intersecting
B) parallel
C) perpendicular
D)skew
Answer: C
Step-by-step explanation:
Since we are looking at a vertical and horizontal line, we can eliminate B and D. A and C would both be correct, but the most accurate description would be C. x=-2 and y=5 are perpendicular lines. Since one is horizontal and the other is vertical, it makes a perfect 90°.
On a coordinate plane, 2 triangles are shown. The first triangle has points F (3, 2), H (4, 5), G (1, 2). The second triangle has points F prime (negative 2, 3), H prime (negative 5, 4), G prime (negative 2, 1). Quinton tried to transform triangle FGH according to the rule (x, y) → (–y, x). Which best describes his attempt? Correct. He transformed the triangle according to the rule (x, y) → (–y, x). Incorrect. He transformed the triangle according to the rule (x, y) → (y, –x) Incorrect. He transformed the triangle according to the rule (x, y) → (–y, –x) Incorrect. He transformed the triangle according to the rule (x, y) → (–x, –y)
Answer:
Correct. He transformed the triangle according to the rule (x, y) → (–y, x)
Step-by-step explanation:
Given
F(3, 2), H(4, 5), G 1, 2)
F'(-2, 3), H'(-5, 4), G'(-2, 1)
Find
Whether the triangle was correctly transformed using the rule ...
(x, y) → (–y, x).
Solution
For point F, we have ...
x = 3
y = 2
Then the rule tells us the point F' should be ...
F' = (-y, x) = (-2, 3)
This is the point Quinton found for F', so his transformation was correct. (We can similarly verify that H' and G' are also correct.)
Answer:
The answer is A. Correct. He transformed the triangle according to the rule (x, y) → (–y, x).
Step-by-step explanation:
Simplify (7^1/5)^5. PLEASE HELP!!!
Answer:
Hi there!
The correct answer will be D. 7
Step-by-step explanation:
This is an example of the power rule where: [tex](a^{x} )^{y}[/tex] = [tex]a^{xy}[/tex]
1/5 multiplied by 5 equals 1, and anything with the exponent of one is itself so it's 7
Hello, can someone please help me with this I need a explanation and the answer. Thank you! - I will give you 25 points Joey is building a frame for a sandbox. The sand box is is going to have the shape and dimensions below. If the diagonal of the sandbox measures 14 feet, what kind of quadrilateral will the sandbox be? Explain how you know.
Answer:
we know that
applying the Pythagoras Theorem
c²=a²+b²
where
c=14 ft
a=8 ft
b=12 ft
case a)
if
c²=a²+b² C is a right angle
case b)
if
c²< (a²+b²) C is an acute angle
case c)
if
c² > (a²+b²) C is an obtuse angle
c²=14² 196
(a²+b²)=8²+12² 208
196 < 208
c² < (a²+b²) C is an acute angle
the answer is the option
C. a quadrilateral, because angle C and angle X are acute
hope thus helps lol
Answer: C)a quadrilateral, because angle C and angle X are acute
Step-by-step explanation: Im double confiming that this is the right answer on edge......I just did the quiz and got 100% thx to the person above!! Hope this helps :D
16t² - 4/25 s²
factorise this for me plzz guys
Answer:
(4t+2/5 s) (4t+2/5 s)
Step-by-step explanation:
16t^2-4/25 s^2
=(4t)^2-(2/5 s)2 by using (a^2-b^2) formula
=(4t+2/5 s) (4t+2/5 s)
Answer:
[tex] = ( \frac{4t - 2}{5s} )( \frac{4t + 2}{5s} ) \\ [/tex]
Step-by-step explanation:
[tex] \frac{16 {t}^{2} - 4 }{25 {s}^{2} } \\ \frac{ {4}^{2} {t}^{2} - {2}^{2} }{ {5}^{2} {s}^{2} } \\ = ( \frac{4t - 2}{5s} )( \frac{4t + 2}{5s} )[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
What is the percent change from 90 to 63
Answer:
-42.86%
Step-by-step explanation:
Mathematically, the percentage change is;
(new value -old value)/old value * 100%
According to this question
new value = 63
old value = 90
Inputing these values we have ;
(63-90)/63 * 100
-27/63 * 100%
= -3/7 * 100% = -42.86 #
use properties of operations to simplify this algebraic expression.
5(x-4)+3x-9x+7
step 1: rewrite the subtraction operations as addition of negative numbers.
step 2: use the distributive property.
step 3: use the commutative property of addition to reorder terms so that like terms are together.
step 4: use the associative property of addition to group like terms.
step 5: simplify.
Answer:
x = -27
Step-by-step explanation:
Apply the Distributive Property to 5(x - 4): 5x - 20.
Then we have 5x - 20 + 3x - 9x + 7.
Combining like terms, we get -x = 7 + 20 = 27, so that x = -27.
Ashton read 12 pages on Friday. He read 3 times as many pages on Saturday, and 14 more pages on Sunday.How many more pages did Ashton read over the three days?
Answer:
Ashton read 62 pages over the three days
Step-by-step explanation:
Given;
Ashton read 12 pages on Friday
He read 3 times as many pages on Saturday = 3 x 12 pages = 36 pages
He read 14 more pages on Sunday
The total number of pages read Ashton over the three days can be calculated as follows;
Total pages read by Ashton = 12 pages + 36 pages + 14 pages
Total pages read by Ashton = 62 pages
Therefore, Ashton read 62 pages over the three days
HELP QUICK!!!
A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 17 feet more than the length of the shortest side. Find the dimensions if the perimeter is 173 feet.
Answer:
Step-by-step explanation:
let the length of shortest side be x
and length of second side be 2x
and third side be x+17
given , perimeter = 173 feet
therefore , x+2x+x+17 =173
4x =173-17
4x =156
x = 156/4
x = 39
therefore ,
length of :
shortest side = 39 feet
second side =78 feet
third side =56 feet
hope it helps.. please mark me as the brainliest...
Valerie has 2 envelopes in each of her 3 drawers. Each envelope has 6 stickers. How many stickers does she have in all?
Answer:
36
Step-by-step explanation:
2 envelopes x 3 drawers = 6 envelopes.
Each envelope has six stickers.
6 x 6 = 36
Answer:
36
Step-by-step explanation:
Please help me with my math question!!
29.2
Step-by-step explanation:
15×15=225
25×25=625
225+625=850
the square root of 850 is 29.2
If a loan option had been available for your food truck for the $50,000 at 4% interest for 6 years instead of 4 would you have taken that option instead? Why or why not?
Answer:
It depends.
Step-by-step explanation:
For 6 years:
[tex]50000*(1.04)^6=\$63266[/tex]
On average, you would have to be profiting:
[tex]\frac{63266}{6}=\$10544[/tex] per year
For 4 years:
[tex]50000*(1.04)^4=\$58492[/tex]
On average, you would have to be profiting:
[tex]\frac{58492}{4} = \$14623[/tex] per year.
It would be better to have the longer term option - although you will be paying off more in total, you would be paying off a smaller portion of your earnings.
However, you may want to pay off the loan faster as you would no longer have to worry about it, and it would be cheaper to pay off over the shorter period.
Solve for x. 3x/6 + 2 = 8
Answer:
x = 12
Step-by-step explanation:
Given
[tex]\frac{3x}{6}[/tex] + 2 = 8 ( subtract 2 from both sides )
[tex]\frac{3x}{6}[/tex] = 6 ( multiply both sides by 6 )
3x = 36 ( divide both sides by 3 )
x = 12
Answer:
x = 12
Step-by-step explanation:
[tex] \frac{3x}{6} + 2 = 8 \\ collect \: like \: terms \\ [/tex]
[tex] cross \: multiply \\ \frac{3x}{6} = \frac{6}{1} \\ 3x = 6 \times 6 \\ 3x = 36[/tex]
[tex]divide \: both \: sides \: of \: the \: equation \: by \: 3 \\ \frac{3x}{3} = \frac{36}{3} \\ x = 12[/tex]
Consider this cylinder with the given base area and
height measures.
Use the formula to calculate the volume. What is the
volume of the cylinder?
2
Cylinder V=Bh
Vx
B = 12 in
9 in
V = 21x in
Oy - 54, in
V = 1087 in
tivity
Answer: the answer is D
Step-by-step explanation:
The Volume of Cylinder is 108 inch³.
What is Volume?Volume is a three-dimensional measurement that's used to gauge a solid shape's capacity. It implies that the volume of a closed form determines how much space it can occupy in three dimensions.
The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
Given:
Base = 12 inch
Height = 9 inch
So, the Volume
= base x height
= 12 x 9
= 108 inch³
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Prove the identity (n-5)^2 - (6n-35)=(n-10)(n-6)
Answer:
(n-5)^2 - (6n-35)=(n-10)(n-6)
-----------
n²-10n+25-6n+35 = n²-16+60 = n²- 10n - 6n + 60 = n(n-10) - 6(n-10) = (n-10)(n-6)Please help thank you
Answer:
6.5%
Step-by-step explanation:
15.40 * 5 = 77
77 is in the 6.5% range.
