Answer:
The number after reversing the digits is [tex]\bold{6y}[/tex]
Step-by-step explanation:
First of all, let us try to learn about representing a 2 digit number.
28 can be written as 20 + 8 OR 2 [tex]\times[/tex] 10 + 8
79 can be written as 70 + 9 OR 7 [tex]\times[/tex] 10 + 9
17 can be written as 10 + 7 OR 1 [tex]\times[/tex] 10 + 7
i.e. if we are given the unit's and ten's digits as U and T, we can write the two digit number as: T [tex]\times[/tex] 10 + U
Now, it is given that ten's digit is [tex]y[/tex].
Unit's digit is half of that i.e. [tex]\frac{y}{2}[/tex].
So, the number is
[tex]y \times 10 +\frac{y}{2}\\\Rightarrow 10 y +\frac{y}{2}\\\Rightarrow \dfrac{21}{2}y[/tex]
Now, the digits are reversed:
Unit's digit = [tex]y[/tex]
Ten's digit = [tex]\frac{y}{2}[/tex]
So, the number after reversing the digits:
[tex]\dfrac{y}{2}\times 10+y\\\Rightarrow 5y+y = \bold{6y}[/tex]
The number after reversing the digits is [tex]\bold{6y}[/tex].
Express - 64 by 112 as a rational number with denominator 7 .plz answer fast so l will follow you .
Answer:
-4/7
Step-by-step explanation:
When we simplify the fraction -64/112, we get -4/7.
Answer:
-4/7
Step-by-step explanation:
-64/112 is already a rational number.
Simplify the fraction.
= -4/7
what point lies on y-2=5(x-6)
Answer: (0, -28)
Step-by-step explanation:
Turn this equation into slope-intercept form.
y-2=5x-30
y=5x-28.
Because the y-intercept is -28, the point (0,-28) must be on the line.
Hope it helps <3
HELP
IMA GIVE BRAINLIEST
Answer:
[tex] \frac{1}{8} [/tex]
Step-by-step explanation:
there are 8 numbers
we want one of them (number 4)
which is 1 in 8
that is:
[tex] \frac{1}{8} [/tex]
good morning :) The train to Sun City travels 150 miles per hour. How long will a trip take if Sun City is 525 miles away? A. 4 hours B. 3 hours 30 minutes C. 3 hours 15 minutes D. 3 hours
Answer: B. 3 hours 30 minutes
Step-by-step explanation:
Time = Distance / Speed
Time = 525 / 150
Time = 3.5
A carpenter uses a hand saw to cut a piece of wood in half. The length of the saw blade is 40 cm, while the wood he is cutting is 8 cm across. Each time he extends the saw out with his arm, there is 5 cm of blade between the handle and the wood. When he pulls the saw toward his self with his arm, the saw handle is 25 centimetres from the wood. Each time he extends his arm out and pulls it back in, 1 second has passed. He starts with his arm extended out. Write an equation that models how far the tip of the saw is from the wood in terms of time.
Answer:
The equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17
Step-by-step explanation:
The given parameters are;
Length of the saw blade = 40 cm
Thickness of the wood across = 8 cm
Length of blade between wood saw handle with hand extended = 5 cm
Length of the tip from the wood at the above time = 40 - 8 - 5 = 27 cm
Length of blade between wood saw handle with saw pulled inwards = 25 cm
Length of the tip from the wood at the above time = 40 - 8 - 25 = 7 cm
Time for one complete cycle = 1 second
We note that the basic equation for oscillatory motion is of the form;
x(t) = A·cos(ωt) + d
Where:
A = Amplitude of the motion = (27 - 7)/2 = 10 cm
ω = Angular frequency = 2·π/T
ωt = Motion's phase
t = Time of the motion
d = The middle location = 27 - 10 = 17 cm
T = The time to complete a cycle = 1 s
Therefore;
ω = 2·π
Given that he stars with his arm extended out, we have;
27 = 10×cos(2×π×0) + 17
Therefore, the equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17.
PLEASE HELP ASAP!!!! A ball is thrown up in the air from the top of a 48 ft. building. The height of the ball, h(t), after t seconds is given by the equation h(t) = -16t2 + 32t + 48 1) What is the maximum height of the ball? 2) At what time does the ball reach the maximum height? 3) For how long is the ball above the ground? 4) When does the ball hit the ground? Explain your solutions for this context.
Answer:
1) h(max) = 64 ft
2) t = 1 s
3) t(in air) = 3 s
4) just after 3 s
Step-by-step explanation:
The height f the ball is:
h(t) = -16*t² + 32*t + 48
Maximum height is when V(y) = 0
D(h)/dt = V(y) = -16*2*t + 32
V(y) = 0 -32*t + 32 = 0
2) t = 1 s time to reach maximum height
Plugging this value in equation h(t) = -16*t² + 32*t + 48
h(max) = -16*(1)² + 32*(1) + 48
1) h(max) = 16 + 48 = 64 ft
3) In equation h(t) = -16*t² + 32*t + 48
when h(t) = 0 we find time of the ball in air
16*t² - 32*t - 48 = 0 a second degree equation solving for x
x₁,₂ = 32 ± √( (32)² + 4*48*16) / 32
x₁,₂ = (32 ± 64 )/32
we dismiss negative x ( negative time)
x₂ = 32 + 64 /32
x₂ = 3 s
4) the ball hit the ground just at 3 scond after its thrown
The ball is 3 s in the air ( touch the ground just in that moment)
Solve for the width in the formula for the area of a rectangle.
Use the rewritten formula to find the width of a rectangle with an area of 42 square inches and a length of 16.8 inches.
Answer:
2.5
Step-by-step explanation:
42/16.8=2.5
Answer:
w=A/I
2.5in
Step-by-step explanation:
This is the full answer
PLEASE HELP!!
It’s asking for the measure of Arc KL in degrees
Answer:
30 degrees
Step-by-step explanation:
How many ways are there to split 14 people into seven pairs?
There are 9,232,320 ways to split 14 people into seven pairs.
To split 14 people into seven pairs, we need to find the number of ways to arrange the people into those pairs.
Let's break down the process step by step:
1. Selecting the first pair: We have 14 people to choose from for the first person in the first pair. After selecting the first person, we have 13 people remaining to choose from for the second person in the pair. Since the order of selection doesn't matter, we divide by 2 to account for the fact that we have counted each pair twice (e.g., choosing A then B is the same as choosing B then A).
Therefore, the number of ways to select the first pair is (14 * 13) / 2 = 91.
2. Selecting the second pair: We have 12 people remaining after forming the first pair. Similar to the first pair, we have 12 choices for the first person and 11 choices for the second person in the second pair. Again, we divide by 2 to account for the order of selection.
The number of ways to select the second pair is (12 * 11) / 2 = 66.
3. Continuing this process, we select pairs until all 14 people are paired up. Each time, the number of remaining people decreases by 2.
So, the total number of ways to split 14 people into seven pairs is:
91 * 66 * 40 * 24 * 10 * 6 * 2 = 9,232,320.
Therefore, there are 9,232,320 ways to split 14 people into seven pairs.
To know more about ways, refer here:
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please help dont know how to do
Answer:
-3
Step-by-step explanation:
We can use any two points in the table and the slope formula
m = (y2-y1)/(x2-x1)
Using ( (0,4) and ( -2,10)
= ( 10 -4)/(-2 -0)
= 6/-2
= -3
Answer:
B. -3
Step-by-step explanation:
If you were to put it into a problem
-2x + 4
(the 4 because that's where it intercepts the y axis)
and if you were to substitute in 4 for the x you would get
-2(4) + 4 = -4 which wouldn't give you -8
so now you try -3x + 4
Then substitute 4 for x
-3(4) + 4 = -8 so then you would substitute 6 by four just to be sure
-3(6) + 4 = -14 so the answer would be B.
n a certain congressional district, it is known that 60% of the registered voters classify themselves as conservatives. If ten registered voters are selected at random from this district, what is the probability that four of them will be conservatives
Answer:
Step-by-step explanation:
Let x be a random variable representing the number of registered voters in the congressional district. This is a binomial distribution since the outcomes are two ways. It is either a randomly selected registered voter is a conservative or not. The success would be that a randomly selected voter is a conservative. The probability of success, p = 60/100 = 0.6
The probability of failure, q would be 1 - p = 1 - 0.6 = 0.4
Given n = 10, we want to determine P(x = 4)
From the binomial distribution calculator,
P(x = 4) = 0.11
Highlands
Analyze the dot plots. What is the approximate
difference between the means of the two data sets to
the nearest whole number?
mm
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32
Rainfall (mm)
Lowlands
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32
Rainfall (mm)
Answer:
3 mm
Step-by-step explanation:
Lisa collects rainwater in a large barrel that weights 25 pounds. When there are 10 gallons of water in the barrel, the total weight of the barrel and the water is 108.4 pounds. when there are 20 gallons of water, the total weight is 191.8 pounds. What equation and graph math this situation?
Step-by-step explanation:
Hello!Plzz refer attachment for your answer.
What is the decimal multiplier to decrease by 6.9%
Step-by-step explanation:
it is 1 - 6.9/100 =0.931
Please help me I really need help pleaseee
If the central angle of a sector is x° And the radius of a circle is x units, then the area of the sector is equal to..
A. (X/360)π square units
B. xπ square units
C. (x² - x/360)π square units
D. (x² /360)π square units
E. (x³ /360)π square units
Answer:
E. (x³/360)π square units
Step-by-step explanation:
The area of a sector has a formula.
θ°/360° × πr²
The radius is x units, the central angle of the sector is x°.
x/360 × πx²
x/360 × x² × π
x³/360 × π
The area of the sector is equal to (x³/360)π square units.
Which diagram shows possible angle measures of a triangle? A triangle has angle lengths 35 degrees, 115 degrees, and 25 degrees. A triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees. A triangle has angle lengths 35 degrees, 120 degrees, and 35 degrees. A triangle has angle lengths 30 degrees, 120 degrees, and 20 degrees.
The diagram that will show possible angle measures of a triangle is. A triangle has angle lengths of 32 degrees, 115 degrees, and 33 degrees.
It should be noted that the sum of the angles that are in a triangle equals 180°. Therefore, in this situation, we'll need to add the values and the one that gives 180° is the right answer.
Therefore, when a triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees, the sum will be:
= 32 + 115 + 33
= 180°
Read related link on:
https://brainly.com/question/16942878
Answer:
Step-by-step explanation:
It's B
Can someone please help me I really need help
Use the Pythagorean theorem:
c^2 = 2^2 + 2^2
c^2 = 4 +4
c^2 = 8
c = sqrt(8)
c = 2.8284
Rounded to nearest tenth = 2.8
a function is a rule that assigns each value of the variable to exactly one value of the dependent variable
a function is a rule that assigns each value of the variable to exactly one value of the dependent variable
Simplify by combining like terms
-7+d-6+2d
PLEASE HELP!!! ASAP!!!
Answer:
-13+3d
Step-by-step explanation:
(-7-6)+(d+2d) Letters with letters and numbers with numbers.
-13+3d
Answer:
3d - 13.
Step-by-step explanation:
-7 + d - 6 + 2d
= d + 2d - 7 - 6
= 3d - 13
Hope this helps!
Simple and easy question
Please help me need quick
Step-by-step explanation:
given,radius =5 m
height =8 m
now, v=pi×r^2×h
=(3.14×5^2×8)m^3
=628m^3
therefore the volume is 628m^3 is the answer
a) Simplify
X-2
7(x - 2)2
Answer:
7x^2 -28x +28
Step-by-step explanation:
7(x - 2)^2
7 ( x-2)(x-2)
Foil
7 ( x^2 -2x-2x+4)
Combine like terms
7( x^2 -4x+4)
Distribute
7x^2 -28x +28
Answer:
[tex]\dfrac{1}{7x-14}[/tex]
Step-by-step explanation:
Perhaps you want to simplify ...
[tex]\dfrac{x-2}{7(x-2)^2}=\dfrac{x-2}{x-2}\cdot\dfrac{1}{7(x-2)}=\boxed{\dfrac{1}{7x-14}}[/tex]
the value of 1 by 2 x 3 by 2 is equal to
a)3/10
b)1/2
c)2/5
d)1/3
Answer: B or 1/2
Step-by-step explanation: not too sure if this is right if not sorry
3- Product of two expressions H.C.F=
A. H.CF
B. L.C.M
C. H.C.F + L.C.M
D. H.C.P x L.C.M
(i) The product of the two expressions is equal to the product of their factors. (ii) The product of the two expressions is equal to the product of their H.C.F. and L.C.M. 2.
Answer:
12 × 15
15×12
9 ×20
Ans=180
que son los angulos adyacentes
Answer:Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.
Step-by-step explanation:
What is a lifetime cap?
O A. A limit on how many loans a person can acquire in his or her
lifetime
O B. A limit on how much an ARM's interest rate can change over the
life of a mortgage
O C. A limit on how many years a loan can be for
OD. A limit on a loan's initial interest rate
SUS
Answer:
B) A limit on how much an ARM'S interest rate can change over there
I tried my best
stay at home stay safe
and keep rocking
Find the next three terms of the geometric sequence 81, 27, 9
Answer:
Step-by-step explanation:
The geometric sequence consists of 3 with different powers.
The previous ones were
3^4, 3^3, 3^2.
So, the next ones will be 3^1, 3^0, 3^-1
These are
3^1 = 3
3^0 = 1
3^-1 = 1/3 = 0.33
Hope this helps
The geometric sequence's next three terms will be 3, 1, and 1/3.
What is a geometric sequence?Let a₁ represent the first term and r represent the common ratio. The geometric sequence's nth term is then given as,
aₙ = a₁ · (r)ⁿ⁻¹
The sequence is given below.
81, 27, 9
The first term is number 81. And the common ratio is as follows:
[tex]r = \dfrac{27}{8}[/tex]
[tex]r=\dfrac{1}{3}=0.34[/tex]
The rule is given as,
aₙ = 81 · (0.34)ⁿ⁻¹
The 4th term is given as,
a₄ = 81 · (0.34)⁴⁻¹
a₄ = 81 · (0.34)³
a₄ = 3
The 5th term is given as,
a₅ = 81 · (0.34)⁵⁻¹
a₅ = 81 · (0.34)⁴
a₅ = 1
The 6th term is given as,
a₆ = 81 · (0.34)⁶⁻¹
a₆ = 81 · (0.34)⁵
[tex]a_6 = \dfrac{1}{3}[/tex]
The next three terms of the geometric sequence will be 3, 1, and [tex]\dfrac{1}{3}[/tex].
More about the geometric sequence link is given below.
brainly.com/question/11266123
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In the diagram below, triangle ABC is similar to triangle DEC what is the value of X
Answer:
|
V
Step-by-step explanation:
Since triangles ABC and DEC are similar to each other, to find x, a missing side of a triangle, you will have to put it in an equation.
You didn't really put a diagram so it's kind of impossible to help answer this question. Try reposting with a picture so I can answer for you :)
The following polynomial has factors (x + 8) and (3x + 2). Determine the value of k. −6x^3-55x^2+kx−16
Answer:
k = - 58Step-by-step explanation:
Since (x + 8) and (3x + 2) are factors of the polynomial it means that if either one of them is equated to zero and substituted into the polynomial will give us zero
Using x + 8
We have
x + 8 = 0
x = - 8
Substitute the value of x into the polynomial
- 6x³ - 55x² + kx - 16
That's
- 6(-8)³ - 55(-8)² + k(-8) - 16 = 0
-6(-512) - 55(64) - 8k - 16 = 0
Expand
3072 - 3520 - 8k - 16 = 0
Simplify
- 464 - 8k = 0
8k = -464
Divide both sides by 8
k = - 58
Hope this helps you
Dana has to pay 10% tax on any income above £18,000 per year. Dana is paid £24,000 annually. Calculate the amount of money she receives after tax each month.
Answer:
£21,600
Step-by-step explanation:
First thing I did was turn 10% into a decimal of .10 . I then went ahead to multiply that tax by 24, 000. Once I did that I got 2 400. I then went ahead to subtract that from her paycheck and got the outcome of 21 600.
Donna brought 2 baseball caps to school on Monday. Each day during that week, she brought twice as many baseball caps as the day before. How many baseball caps did Donna bring to school on Friday? *
Answer:
32 baseball caps
Step-by-step explanation:
[tex]Monday: 2\\Tuesday: 2*2=2^2=4\\Wednesday: 2*2*2=2^3=8\\Thursday: 2*2*2*2=2^4=16\\Friday:2*2*2*2*2=2^5=32[/tex]
She brought 32 baseball caps on Friday.