Which number is the opposite of -3? Starting at -3, how many steps does it take to get to the opposite of -3? What does this number of steps represent?
Answer: 3 is the oppos ire of -3 and it takes 6 steps to get to it
Step-by-step explanation:
Answer:
"Which number is the opposite of -3?": The number that is opposite of (-3) is 3
"Starting at -3, how many steps does it take to get to the opposite of -3?": It takes 6 steps to get to the opposite of -3.
" What does this number of steps represent?": This number represents the distance between -3 and 3.
Step-by-step explanation:
Sammy has $180 in her savings account and plans to deposit $20 each month.
help me plz
Answer:
For a function f(x) = y.
The independent variable is the one that we chose to input in the function, in this case, is x, and the dependent variable is the variable that changes in response to the independent variable, in this case, is y.
In this problem we have:
"Sammy has $180 in her savings account and plans to deposit $20 each month."
We can define:
y = money in her savings account
x = number of months that have been passed since she started saving.
Originally, she has $180, and she saves $20 per month, so if x months have been passed, the total amount of money in her savings account is:
y = f(x) = $180 + $20*x
Now we want to know if this function is continuous or discrete, to see this we need to look at the possible values of x.
x represents the number of months that have been passed, then the values that x can take are:
x = 0, 1, 2, 3, 4, ...
So x can only take the values of positive integers, this means that the domain of x is discrete, then the function f(x) is a discrete function.
Which of the following is a divisor of 12! · 6! + 12! + 6! + 1?
A. 21
B. 77
C. 91
D. 115
E. 143
Hint : Use Wilson's Theorem[tex].[/tex]
Answer:
C. 91Step-by-step explanation:
Rewriting the given as factors:
12! · 6! + 12! + 6! + 1 =12!(6! + 1) + (6! + 1) =(12! + 1)(6! + 1) =((13 - 1)! + 1)((7 - 1)! + 1)As per Wilson's theorem, if n is prime number, (n - 1)! + 1 is divisible by n
As per above, 13 and 7 are both prime numbers, so the expression is divisible by both 7 and 13:
7*13 = 91So correct choice is C
Do Now
A company has 3 locations with 70,010 employees altogether. The
first location has 34,857 employees. The second location has 17,595
employees. How many employees work in the third location?
Model
Answer:
17, 558 employees
Step-by-step explanation:
Altogether = 70,010 employees , First location = 34, 857 employees, second location = 17, 595 employees, Third location = ?
Let the number of employees in the third location be x
70,010 + 17, 595 + x = 70,010
x = 70, 010 - 52452
x = 17, 558( Answer)
17, 558 employees work in the third location
Find the volume of the following figure
Answer:
there is no picture?
Step-by-step explanation:
A park is rectangular with a length of 2/3 miles. If the area of the park is 3/9 square miles, what is its width? Input your answer as a fraction.
Answer:
6/9 miles
Step-by-step explanation:
The product of the slopes of parallel lines is 1
Sometimes, never, or always
Answer:
Sometimes
Step-by-step explanation:
How high is a tree that casts a 35-ft shadow at the same time a 8-ft post casts a shadow which is 9-ft long
Answer:
it depend on which angle is the sun is
Step-by-step explanation:
Answer:
It would be approximately 40 ft, but the precise answer is 39.375 ft. Hope that helped!
Step-by-step explanation:
convert 5/4 into a decimal
Answer:
Step-by-step explanation:
The answer is 1.25
How do you further solve this?
Answer:
x = ±√89-30 cos(55) (everything is under the radical)
and then plug the radical into a calculator and you get two answers:
x1= -9.39873
x2=9.39873
Step-by-step explanation:
i hope this helped :)
this is for literal equations
A=4 πr2 (r2)
i think you solve for r2
Answer:
[tex]r^2=\dfrac{A}{4\pi}[/tex]
Step-by-step explanation:
The given equation is A=4 πr².
We need to solve the above equation for r².
We have,
A=4πr²
Dividing both sides by 4π, we get :
[tex]\dfrac{A}{4\pi}=\dfrac{4\pi r^2}{4\pi}\\\\r^2=\dfrac{A}{4\pi}[/tex]
Hence, the value of r² is equal to [tex]\dfrac{A}{4\pi}[/tex].
Totally blanking on how medians work
===============================================
The three medians of this triangle are:
PFREQDThese segments go from one vertex to the midpoint of the opposite side.
The median we'll focus on is PF.
The point C is the centroid of the triangle. It's where the three medians intersect. It turns out that C divides PF such that CF is twice as long as PC
In other words,
CF = 2*PC
This means,
PF = PC+CF .... segment addition postulate
PF = PC+2*PC ... replace CF with 2*PC
PF = 3*PC .... combine like terms
So the median PF is three times the length of its portion PC
We're told that PF = 24
We can then find the following:
PF = 3*PC
24 = 3*PC
3*PC = 24
PC = 24/3
PC = 8
Then we double this to get the length of CF
CF = 2*PC
CF = 2*8
CF = 16
This is the same as FC because the order of the endpoints don't matter when it comes to naming a segment.
The final answer is 16.
Find the present value of the given future payment at the specified interest rate.
6000$ due in 2 years at
6.5% compounded daily
Answer:
6.5% of 6000$=6000$x6.5/100=390$
amount of interest = 390$x2=780$
Compound Interest
n=1, 2
Po=6000$
Pn=Po(1+r)^n
Pn=6000$1+6.5%)^n
Pn=6000$(1.065)^n
P1=6000$(1.065)^1=6390$
P2=6000$(1.065)^2=6805.35
help please tell me if its a b c or d
Answer:
C
Step-by-step explanation:
just did it
A right triangle has a base of 6m and a height of 8m. The slant (hypotenuse) is 10m. What is the DIFFERENCE Between the area of this triangle and the perimeter of this triangle?
Answer:
Step-by-step explanation:
Perimeter=a+b+c=6+8+10=24 m
Area=1/2*a*b=1/2*6*8=24 m^2
A diver is on a springboard that is 4 meters above the surface of the pool. another diver is 5 meters below the surface of the pool. Who is closer to the surface of the pool?
Answer:
A
Step-by-step explanation:
Let's say the surface of the pool is 0, and the diver 4 meters above represents +4, and the diver 5 meters below represents -5. Which number is closer to 0? It's 4! 4 is 4 numbers away from 0, meanwhile 5 is 5 numbers away from zero, 4 is closer to 0!
2x -6x2 -7 write the polynomial in standard form
Answer: It would be 2x-19
Step-by-step explanation:
Tell whether the angles are complementary or supplementary. Then find the value of a
2x
(3x + 25)
Answer:
31
Step-by-step explanation:
3x + 25 + 2x = 180
3x + 2x = 180 - 25
5x = 155
x = 31
Wich quadrilaterals always have consecutive angles that are supplementary
Answer:
PARALLELOGRAMS (rectangles, squares, and rhombi): 1) Opposite sides of a parallelogram are congruent. 2) Opposite angles of a parallelogram are congruent. 3) Consecutive angles in a parallelogram are supplementary.
Step-by-step explanation:
The quadrilaterals which have supplementary consecutive angles are called; Parallelogram.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
The quadrilaterals which have supplementary consecutive angles are called Parallelogram.
A parallelogram is a kind of quadrilateral which has two parallel sides on each opposite sides which are equal and the opposite angles in a parallelogram are also equal.
The consecutive angles of a parallelogram are supplementary refers that the sum of the consecutive angles in a parallelogram is equal to 180 degrees. The total sum of all the angles in a parallelogram is 360 degrees as it is a quadrilateral.
Learn more about parallelogram;
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A quality control inspector has drawn a sample of 19 light bulbs from a recent production lot. If the number of defective bulbs is 1 or less, the lot passes inspection. Suppose 30% of the bulbs in the lot are defective. What is the probability that the lot will pass inspection
Answer:
0.0016283
Step-by-step explanation:
Given that:
Proportion of defective bulbs, p = 30% = 0.3
Sample size, n = 19 bulbs
Probability that the lot will pass inspection :
P(none of the 19 is defective) Or P(only one of the 19 is defective)
P(none of the 19 is defective) = (1 - p) ^n = (1 - 0.3)^19 ; 0.7^19
0.7^19 = 0.0011398
P(only one of the 19 is defective) :
P(1 defective) * P(18 not defective )
(0.3) * (1 - 0.3)^18
0.3 * 0.7^18
0.3 * 0.001628413597910449 = 0.0004885
Hence,
P(none of the 19 is defective) + P(only one of the 19 is defective)
0.0011398 + 0.0004885) = 0.0016283
Which statement is true of normally distributed data?
A.
Approximately 90% of data falls within 2 standard deviations (±2) of the mean.
B.
Approximately 90% of data falls within 3 standard deviations of (±3) the mean.
C.
Approximately 95% of data falls within 2 standard deviations (±2) of the mean.
D.
Approximately 95% of data falls within 3 standard deviations (±3) of the mean.
Please explain and no answering just for points.
C
have a nice day!!!!!!!!!!!!!!!!!!!!!!!
Approximately 95% of data falls within 2 standard deviations (±2) of the mean. Option D is correct.
What is a normal distribution?A normal distribution is a type of continuous probability distribution for a real-valued random variable such that the values are symmetric about a mean and the curve has bell shape.
Standard deviation is the measure of the randomness of the distribution. The curve has its peak at the mean.
As standard deviation increases, the peak of the curve comes lower and the distribution becomes more and more dispersed.
In a normal distribution 68% of the values falls within 1 standard deviation
and 95% of the values falls within two standard deviations. 99% of the values falls within three standard deviations.
Hence, approximately 95% of data falls within 2 standard deviations (±2) of the mean.
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A bottie contains 255 coins.
1/3 of the coins are £1 coins.
110 of the coins are 50p coins.
The rest of the coins are 20p coins.
Work out the total value of the coins contained in the bottle.
Answer:
£152
Step-by-step explanation:
Solution:
Find out how much is 1/3 of 255 coins:
255 x 1/3 = 85
Since you know how many 50p and £1 coins there are, the remaining of the coins after the 50p and £1 get deducted from the total coins.
255 - 85 - 110 = 60
There are 60 20p coins, 85 £1 coins and 110 50p coins.
Find out the total value by calculating them all altogether.
60 x 20p = 1200
85 x 100p which is £1 = 8500
110 x 50p = 5500
I did them separately so that it wouldn't be so confusing.
Convert them into £, then after that add them up.
£12 + £85 + £55 = £152
5c + d = c+ 4d find the ratio c:d
Answer:3c + 18d brainless pls
Step-by-step explanation:First, eliminate the parenthesis by multiplying each term within the parenthesis by the term outside the parenthesis:
3
(
5
c
+
4
d
)
+
6
(
d
−
2
c
)
⇒
(
3
⋅
5
c
)
+
(
3
⋅
4
d
)
+
(
6
⋅
d
)
−
(
6
⋅
2
c
)
⇒
15
c
+
12
d
+
6
d
−
12
c
Next, group like terms:
15
c
−
12
c
+
12
d
+
6
d
Now, combine like terms:
(
15
−
12
)
c
+
(
12
+
6
)
d
3
c
+
18
d,
Given:
[tex]\to 5c + d = c+ 4d[/tex]
To find:
c:d=?
Solution:
\to 5c + d = c+ 4d
simulating the identical terms:
[tex]\to 5c -c = 4d-d\\\\\to 4c = 3d\\\\\to \frac{c}{d} = \frac{3}{4}\\\\\therefore\\\to c:d= 3:4[/tex]
so, the ratio is 3:4
Learn more about the ratio:
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Can someone please help me on this? I've been trying for hours and can't seem to find the answer.
Answer: The area of the shape is 90 ft.
Step-by-step explanation:
Draw a line so the shape looks like a triangle and small rectangle.
First, we have to find the area of the rectangle.
Area of rectangle: length x width
The rectangle has a length of 6 ft and a width of 3 ft.
Area of rectangle: 6 x 3 = 18 ft
Now to find the area of the triangle.
Area of triangle: 1/2 x base x height
The triangle's base: 15 - 3 = 12
The triangle's height: 6 + 6 = 12
Area of the triangle: 1/2 x 12 x 12
= 1/2 x 144 = 72ft
To find the area of the entire shape you have to add the area of the rectangle and triangle together.
Area of shape = Area of rectangle + Area of triangle
A of shape = 18 ft + 72 ft
The area of the shape is 90 ft.
Hope that helped!
elliot is moving a table through a doorway. The table is 2 5/8 ft wide and the doorway is 2 3/4 ft wide.
Answer:
Elliot is able to move the table through, since 2 3/4 is more than 2 5/8.
Step-by-step explanation:
2 3/4 - 2 5/8 = 0.125
0.125 is a positive number.
So, Elliot is able to move the table through the doorway.
Please mark as Brainliest!!!Pls help need answers fast
Answer:
1. 11-y=-9
2. 41+w=26
3. r÷6=-4
4. 18(p)=54 or 18×p=54
5. Yes V= -52
6. Yes Z= -3
7. No would equal 43
8. No T would equal positive 6.
9. B
10. C
11. D
12. A
area of rhombus is 60m sq.if its perimeter is 40 m sq. find its altitude
Answer:
Step-by-step explanation:
Para meter of rhombus is equals 40 m
So one side of rhombus is equal to 10 m
Now
Area of rhombus is equals to half into base into altitude
1/2*10*altitude=84
Altitude = 16.8m
0.9b + 12 = 0.8b - 9
Answer:
0.9b+12=0.8b-9
0.9b+0.8b= -9-9
1.7b=-21
=-12.352
I need help pls pls pls
Answer:
Mantle
Step-by-step explanation:
I think its mantle
A rectangular outdoor seating area has a length 5 feet greater than its width, w. Jonathan will increase both dimensions of the seating area by 3 feet. Which equation represents the new area, N, of the outdoor seating area?