Number of 5 digit numbers can be formed using the digits 8, 9 and 0 is 162
The numbers are 8, 9 and 0
Combination is the one of the method to show the number of arrangements the from collection of objects or numbers
Here we have to form 5 digits numbers using the digits 8,9 and 0
The ten thousand's place can be only filled with 8 or 9, we cant fill the digit 0 on the ten thousands place,
In remaining places we can fill all three digits
Therefore the number of combination = 2 × 3 × 3 × 3 × 3
= 162
Hence, number of 5 digit numbers can be formed using the digits 8, 9 and 0 is 162
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Jill is a hotel desk clerk her regular pay is 9.85 per hour time and a half for all hours worked over 40 and doubled time on Sunday she worked the following hours this pay period. what is her over time pay and her gross pay
Jill's overtime pay is $137.9 and her gross pay is $531.9
For calculating, Hourly and overtime pay
Some employers pay a set amount for every hour an employee works. This is called regular pay. An employee may also earn overtime pay for all hours worked over 40 within a pay period. The overtime rate is usually 1.5 times an employee’s regular hourly pay.In some cases, such as on Sundays, an employer may pay double time or 2 times an employee’s regular pay.
Formulas for calculating earnings,
Hours Worked x Hourly Rate = Regular Pay
Overtime Hours Worked x Overtime Rate = Overtime Pay
Regular Pay + Overtime Pay = Gross Pay
Jill work for one day = 8 hours
She work from Monday to Friday i.e, 5 days which is = 8 * 5 = 40 hours
On Saturday and Sunday she worked 4 hours on each day,
so, for Saturday her payment is = (1.5 * 9.81) * 4
= 59.1
And, for Sunday her payment is = 2 * ( 4 * 9.85)
= 78.8
Now, find her overtime pay (add her's Saturday and Sunday payment)
Overtime pay = 59.1 + 78.8
= $137.9
Now, find her Gross pay = Regular pay + Overtime pay
Regular pay = 9.85 * 40
= 394
So, the Gross pay = 394 + 137.9
= $531.9
Therefore, Jill's overtime pay is $137.9 and her gross pay is $531.9.
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4. Create an equation for a 6th degree polynomial that only has the zeros of x=5, -4, -6, 1 with a y-intercept of 3600. Explain how you found your equation.
Since the y-intercept of the polynomial must be 3600, then:
[tex]p(0)=3600[/tex]Since the only zeroes of the polynomial must be x=5, -4, -6 and 1, then the factors of the polynomial, are:
[tex]\begin{gathered} (x-5) \\ (x+4) \\ (x+6) \\ (x-1) \end{gathered}[/tex]Let the multiplicity of the factor (x-1) be equal to 3 and let the multiplicity of the rest of the factors to be equal to 1. Then:
[tex]p(x)=a(x-5)(x+4)(x+6)(x-1)^3[/tex]Where a is a constant. Notice that the degree of that polynomial is 6. Evaluate it at x=0 to find the value of a that makes the y-intercept to be equal to 3600:
[tex]\begin{gathered} p(0)=a(0-5)(0+4)(0+6)(0-1) \\ =a(-5)(4)(6)(-1) \\ =120a \end{gathered}[/tex]Since p(0)=3600, then:
[tex]\begin{gathered} 3600=120a \\ \Rightarrow a=\frac{3600}{120} \\ \Rightarrow a=30 \end{gathered}[/tex]Therefore, the following polynomial is a 6th degree polynomial with zeroes at the values of 5, -4, -6 and -1 with a y-intercept equal to 3600:
[tex]p(x)=30(x-5)(x+4)(x+6)(x-1)^3[/tex]3. On Bob's 10th birthday, his grandmother invested $1,500 in an account * 21
that was locked into a 12.5% interest rate, compounded quarterly. Will he
have enough for a $2500 down payment for his first car on his 16th
birthday?
Answer: not sure. but as long as he saves his money wisely and doesn't spend frivilously
Step-by-step explanation:
if i had 90 days and i done did two months how many days do i have ???
Answer: 30 more days
Step-by-step explanation: two months equal to 30 days at most
Answer:30 days it can fluctuate on which month you pick
Step-by-step explanation:
Greg earned $32 dollars for washing cars this month. He earned twice as much for washing cars than he did for mowing lawns. Write an equation to determine how much he earned for mowing lawns.
2m = 32
m + 2 = 32
m − 2 = 32
m over 2 equals 32
Answer: the correct answer is 2m = 32
Step-by-step explanation: If Greg earned $32 for washing cars and that was twice as much for mowing lawns, then you will need to divide that amount by 2 to find out what was made.
2m = 32
Divide each side by 2:
2m/2 = 32/2
m = 16
The amount for mowing lawns = $16
Answer:
Determine which equation is false, based on the solution set S:{4}.
3t = 12
3m + 7 = 14
4(4c + 1) = 68
9 = 5p − 11
Step-by-step explanation:
45 to 60 Identify the precent of change?
Answer:
33 1/3 %increase
Step-by-step explanation:
You take the difference of 60 and 45 which is 15 and divide that by 45
[tex]\frac{15}{45}[/tex] i s.3333333 as a percent this would be 33 1/3 % increase
can someone help me please i will give brainlest
After solving the basic fractions, Katrina needs to chop 7/3 cups of onions more to cook the onion soup recipe.
What is fractions?In mathematics, a fraction is represented as a numerical value that defines a portion of a whole. A fraction is a portion or section of any quantity taken from the whole, which can be any number, a specific value, or a thing.
Let us use an example to demonstrate this point. The image below shows a pizza that has been divided into eight equal parts. Now, if we want to express one specific part of the pizza, we can do so as 1/8, which indicates that we are referring to one part out of eight equal parts.
It translates to one in eight equal parts. It can also be written as:
1/8, also known as 1 by 8
We have given that Katrina had already chopped cups onions = 1⅓
= 4/3
The onion soup recipe needs chopped onions = 3⅔
= 11/3
Let the number of cups of onions Katrina still needs to chop be x
This gives us the equation
x + 4/3 = 11/3
Lets solve for x
x = 11/3 - 4/3
x = (11 - 4)/3
x = 7/3
So, Katrina needs to chop 7/3 cups of onions more to go.
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how many miles must riley walk to have only 1 mile left to walk
The graph gives the information of the miles walked.
Riley must walk 7 miles to have only one mile left.
The answer would be 7 miles
if 10 is subtracted frim a number the result is 23 find the number
Answer: 33
Step-by-step explanation:
We can make the unknown number x and set the question as:
x-10=23
By adding 10 on both sides the equation would look like so
x=33
And so your answer would be 33.
Suppose that y varies directly with x and that y=77 when x=7. What is the value of x when y=55
11
50
5
24
Answer: The correct answer is 5.
Step-by-step explanation:
Find the relationship between x & y:
y/x=77/7=11, therefore x equals the value of y divided by 11
x=y/11
x=55/11
x=5
Ahmed wants to make a triangle. He has rods that measure 9 inches and 15 inches. The rods cannot be cut. Which is the length of a rod he could use to complete the triangle?
what is the answer?
Answer with work shown(please)
-14p = 112
-18 = x -13
14= n +7
354 = -6(-8m -3)
8(5p - 5) = -120
-4(5n - 1) = -156
Answer:
↓↓↓
Step-by-step explanation:
1. -14p = 112:-
Divide both sides by -14:-
[tex]\sf \cfrac{-14p}{-14}=\cfrac{112}{-14}[/tex]
[tex]\boxed{\bf p=-8}[/tex]
__________________
2. -18 = x -13
[tex]\sf x-13=-18[/tex]
Add 13 to both sides:-
[tex]\sf x-13+13=-18+13[/tex]
[tex]\boxed{\bf x=-5}[/tex]
__________________
3. 14 = n +7
[tex]\sf n+7=14[/tex]
Subtract 7 from both sides:-
[tex]\sf n+7-7=14-7[/tex]
[tex]\boxed{\bf n=7}[/tex]
_________________
4. 354 = -6(-8m -3)
[tex]\sf 354=6(8m+3)[/tex]
[tex]\sf 6(8m+3)=354[/tex]
[tex]\sf 48m+18=354[/tex]
Move constant to the right side:-
[tex]\sf 48m=354-18[/tex]
Subtract numbers:-
[tex]\sf 48m=336[/tex]
Divide both sides by 48:-
[tex]\sf \cfrac{48m}{48}=\cfrac{336}{48}[/tex]
[tex]\boxed{\bf m=7}[/tex]
__________________
5. 8(5p - 5) = -120
[tex]\sf 40p-40=-120[/tex]
Move constant to the right side:-
[tex]\sf 40p=-120+40[/tex]
Add/Subtract numbers:-
[tex]\sf 40p=-80[/tex]
Divide both sides by 40:-
[tex]\sf \cfrac{40p}{40}=\cfrac{-80}{40}[/tex]
[tex]\boxed{\bf p=-2}[/tex]
____________________
6. -4(5n - 1) = -156
[tex]\sf 4(5n-1)=156[/tex]
[tex]\sf 20n-4=156[/tex]
[tex]\sf 20n=156+4[/tex]
Add numbers:-
[tex]\sf 20n=160[/tex]
Divide both sides by 20:-
[tex]\sf \cfrac{20n}{20}=\cfrac{160}{20}[/tex]
[tex]\boxed{\bf n=8}[/tex]
_____________________
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Have a great day!
when jess is mailing a jewelry box to a customer, she packs it inside a larger shipping box. The sides of a shipping box are 2 inches longer than the sides of a jewelry box
The volume of the jewelry box is 8 cubic inches. Volume exists as a measurement of three-dimensional space that is occupied.
What is meant by volume?Every three-dimensional object requires some amount of space. The volume of this space is measured. Volume is defined as the space occupied by an object within the boundaries of three-dimensional space. It is also known as the object's capacity. The basic formula for volume is length × width × height, whereas the basic formula for area of a rectangular shape is length width height. The calculation is unaffected by how you refer to the various dimensions: you can, for example, use 'depth' instead of 'height.' A 3D object's volume is the amount of physical space it occupies. It is the 3D equivalent of a 2D shape's area.
Therefore,
The computation of the volume of the jewelry box is shown below:
The Volume of the jewelry box = Length × height × weight
∴ 2 × 2 × 2 = 8
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In 3–5 sentences, explain why the moon appears to be less bright than the sun despite its very close distance to Earth. PLEASE HELP A GIRL OUT THIS IS A VERY IMPORTANT TEST I DO NOT WANT TO FAIL make it simple
Step-by-step explanation:
Based on scientific observations and findings, the reasons the moon appears to be less bright than the sun despite its very close distance to earth are the following:
Moon doesn't produce its light but rather takes or reflects the light from the Sun.
Moon only reflects about 12 percent maximum of lights that shines on it from the sun.
Externally, Moon is made of dark-colored soil often referred to as lunar soil. This is unlike the Sun which is made of hydrogen and helium, whose atoms are very light.
Also, Sun is about 400 times bigger than the Moon.
Hence, in this case, it is concluded that there are many reasons the moon appears to be less bright than the sun despite its very close distance to earth.
A rectangle has length 3x + 4 and width 2x - 1. What is the perimeter of the rectangle?
Answer:
the width is 10x + 6
Step-by-step explanation:
but we know for a rectangle that the length and the width added twice together equals the perimeter . so you will want to do 2(3x+4)+2(2x-1) which equals 6x+8+4x-2 which equals 10x+6.
An aquarium can hold 3,744 cubic inches of water. ben fills the aquarium 9/10 full of water. water weighs about 0.036 pound per cubic inch. which estimate of the weight of the water in the aquarium is closest to the exact value?
Answer:i think its 120.
Step-by-step explanation:
n is a natural number between 5/2
and 3.85
Answer:
5/2 = 2.5. Since n is a natural number, n must be 3.
Polly assumes that the rice from two sacks will fill twice as many bags as the rice from
one sack.
(b) Is Polly correct?
You must give a reason for your answer.
Yes, Polly is right. 28 bags can be filled.
How to find the number of bags that can be filled?Polly has a full 5 kg sack of rice.
Each full bag contains 350 g of rice.
Solution:
5 Kg is 5000g.
Therefore,
5000/350 = 14.29
That is 14 bags in total.
Polly assumes that the rice from 2 sacks will fill twice as many bags as the rice from 1 sack.
Therefore,
2 * 5000/350 = 28.57 bags which is twice 14 bags.
Therefore, her assumption is right.
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Work out the circumference of this circle.
to be 3.142 and write down all the digits given by your calculator.
21 cm
Answer:62.84Step-by-step explanation:pie=3.142c=pie * diameterr=10cmd=2rd=2(10)=20cmc=3.142 * 20c=62.84
Step-by-step explanation:
When the add-or-subtract method for a system of linear equations finds a solution of (3, –4), what does that tell you about the equations?Group of answer choicesWhether you add or subtract the equations, you get the same resulting equation in one variable.The graphs of the lines are parallel.The graphs of the lines are the same line.The graphs of the lines intersect at point (3, –4).
The answer is:
Whether you add or subtract the equations, you get the same resulting equation in one variable.
For the following exercises, rewrite each expression as an equivalent ratio of logs using the indicated base.
25. log7 (15) to base e
Answer:
Step-by-step explanation:12
What is an equation of the line that passes through the points (2, 6) and ( -2, -4)?
Answer:
y = (5/2)x + 1 or
y = 2.5x + 1
Step-by-step explanation:
The slope-intercept form of the equation of a line is
y = mx + b
where m = slope, b = y-intercept
Slope = rise / run
where rise is the difference in y-values of two points on the line and run = difference in x values for the same two points'
Here the points are (2, 6) and (-2, -4)
rise = 6 - (-4) = 6 + 4 = 10
run = 2 - (-2) = 2 + 2 = 4
Slope = 10/4 = 5/2
Equation is
y = (5/2))x + b
To calculate b, plug in x, y values for (2, 6) to get
6 = (5/2) x 2 + b
6 = 5 + b
b = 6 - 5 = 1
Equation of line is
y = (5/2)x + 1
Question 3The number is equivalent toAB-0.625C 0.58D
Divide -5 by 8
[tex]To\text{ find the value of -5 divided by 8, divide only 5 by 8 and a put a negative sign to the value obtained}[/tex]So 5/8 is 0.625. So, -5/8 is 0.625
Can anyone please help
After 3.94 hours, the price of stock A and stock B will become same.
What do you mean by price?
Price can be defined as the amount of money that get paid for something.
Lets assume that after x hours the price of stock A is equal to price of stock B.
Since the price of stock A is increasing at rate of 0.11 per hour, so after x hours it will become:
$12.15 + 0.11x
Since the price of stock B is decreasing at rate of 0.08 per hour, so after x hours it will become:
$12.90 - 0.08x
Equating both price to get the value of x:
12.15 + 0.11x = 12.90 - 0.08x
(0.11+0.08)x = 12.90 - 12.15
x = 0.75/0.19
x = 3.94
Hence, after 3.94 hours the price will be same.
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what is the perimeter of a semicircle when the radius is 5cm
Answer:
25.707 units
Step-by-step explanation:
Por cada $5 que Micah ahorra, sus padres le dan $10. 3. una. ¿Cuál es la constante de proporcionalidad
The constant of proportionality based on the information regarding Micah is 1/2
What is constant of proportionality?The constant of proportionality simply implies that the ratio which relates to the values has a constant value. This is represented as k.
In this case, for every $5 that Micha saves, by parent give him $10.
Let the amount that he saves be y
Let the amount that was given to him be x.
The constant is k.
This will be:
y = kx
5 = 10k
Divide
k = 5/10
k = 1/2
The constant of proportionality is 1/2.
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A department store stocked a selection of denim jeans. At the start of December, the store had 320 of these jeans. During December, it sold 50% of the jeans. In January, it sold 25% of the remaining denim jeans. Determine how many were left at the end of January
Answer:
120 denim jeans were left
Step-by-step explanation:
320 - 50% = 160 left at the end of december
160 - 25% = 120 left at the end of January
the time t required to repair a machine is an exponentially distributed random variable with mean 2.5 (hours). what is the probability that a repair takes at least 1212 hours given that its duration exceeds 12 hours?
The probability that a repair takes at least 1212 hours is 0.67.
With a mean of 2.5 hours, the repair time is treated as an increasingly random variable.
Because the inverse of the mean is the parameter of the exponential distribution, λ = 0.4 [tex]h^{-1}[/tex].
The probability that a repair duration will transcend k hours may well be described as follows:
P(t > K) = [tex]e^{-\lambda t}[/tex] = [tex]e^{-0.4t}[/tex]
Given that a repair takes over 11 hours, the conditional likelihood that it will take at least 12 hours,
The exponential distribution has a discrete-time feature, which means that the probability of future events is not affected by previous events.
In this example, the conditional chance that a repair will take at least 10 hours is equal to the possibility that a repair will take at least (12 - 11) = 1 hour.
P(t > 12| t > 11) = P(t > 1)
P(k > 1) = [tex]e^{-0.4 * 1}[/tex] = 0.67
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please help me i will mark brainliast
Answer:
a. x^2 + 5x + 6 --> the entire figure
b. Length: x+3. Width: x+2
c. A=(x+3)(x+2)
Step-by-step explanation:
b. x^2+5x+6=
x^2+2x+3x+6=
x(x+2)+3(x+2)=(x+2)(x+3)
Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s. r=7 inches,s=35 inches.
The central angle has a measure of 5 rad in radians
How to determine the measure of the angle in radians?The given parameters are:
Length of the arc, s = 35 inches
Radius of the circle, r = 7 inches
The length of an arc can be calculated using the following formula
s = r∅
Where
s represents the length of the arcr represents the radius of the circle∅ represents the central angleSubstitute the known values in the above equation
So, we have
35 = 7 * ∅
Divide both sides by 7
∅ = 5
Hence, the measure of the angle in radians is 5 rad
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