Answer:
Step-by-step explanation:
There is 12 inches in a foot: therefore, 12inches x 7ft. = 84 ft.
Answer: 84 inches
Step-by-step explanation:
A conversion factor is a number that is used to multiply or divide one set of units into another. For instance, 12 inches equals one foot when converting between inches and feet.
Since 1 foot = 12 inches
And we are trying to figure out how much inches are in 7 ft.
We can create a conversion (or cross multiply)
\(\frac{12}{1} =\frac{x}{7}\)
Where inches are in the numerator and ft are in demoninator.
When cross multiplying (multiplying in a diagonal) you get:
x = 84 inches
So 7 ft equals 84 inches.
---
A quicker method would be to multiply 7 ft by 12 inches/1 ft (foot), and get 84 inches.
--
2.) The function g is related to one of the parent functions g(x) = x2 – 3 The parent function is:
f(x)= x^2
Use function notation to write g in terms of f.
Answer:
g(x) can be written in terms of f(x) as g(x) = f(x) - 3.
Step-by-step explanation:
To write g in terms of f, we can use the substitution f(x) = x^2 as follows:
g(x) = f(x) - 3
= x^2 - 3
Therefore, g(x) can be written in terms of f(x) as g(x) = f(x) - 3.
help please and thank you
Answer:
1) 9x
2) 3b
3) 3m
4) 5a
5) 7x
6) 3a + 5b
7) 9x - 4
8) 2b + m
9) 13a + b + 6c
10) 9b + 1
11) 7p
12) 2a + b -10
Step-by-step explanation:
deigo has $500 dolars in his saving account each month he takes out $20 to pay for karate class. let m be the number of months write an expression yo show the total amount ain deigos saving account after m months
The expression shows the total amount in Diego's savings account after m months is 500 - 20m.
What is the total amount?
Two numbers are added together to form the sum. It is simple to figure out the sum of small integers. You can add two numbers using your fingertips. When two or more numbers are added together, a mathematical sum or maths sum is the outcome. It is the sum of the numbers when they are added up.
Here, we have
Given: Deigo has $500 in his saving account each month he takes out $20 to pay for karate class.
Let m be the number of months. Write an expression to show the total amount in Diego's savings account after m months.
The expression:
= 500 - 20m
Here m is the number of months
Hence, the expression shows the total amount in Diego's savings account after m months is 500 - 20m.
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a) Work out the percentage population increase from 2001 to 2011.
Give your answer to 1 decimal place.
The percentage population increase from 2001 to 2011 is 50%.
To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.
The formula to calculate the percentage increase is:
Percentage Increase = ((New Value - Old Value) / Old Value) * 100
Plugging in the values:
Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%
Therefore, the percentage population increase from 2001 to 2011 is 50%.
Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.
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write an exponential model given two points:
(10, 140) and (11,220)
48a^21 b^5
——————-
16a^21 b^4
Answer:
3b
Step-by-step explanation:
Beth and Brianne had a yard sale to raise money. They donated 2 of their profits to their 10 school sports teams, 3 to the animal shelter, and 1 to the hospital. Which model can be 10 10 used to find the total fraction of their profits that they donated? Explain your thinking.
Answer:
Model 1
Step-by-step explanation:
Model 1 correctly displays the amount of money Beth and Brianne donated and raised at the yard sale. 2/10 + 3/10 + 1/10 = 6/10 (this would be the total amount donated.If 6/10 was donate, 4/10 of the total profit still remains. Model 2 does not represent the total profit that the girls have remaining.Paulas cat weighs 8 5/8 pounds. Calebs cat weighs 11 1/8 pounds. What is the total weight of both cats?
Answer:
19 6/8 or 19 3/4
I’m not sure if you want the smallest possible fraction or not. If you don’t know just put the second one. K.
A certain lottery has 28 numbers. In how many different ways can 5 of the numbers be selected? (Assume that order of selection is not important.)
After answering the provided question, we can conclude that As a result, expression there are 98,280 different ways to choose 5 numbers from a set of 28 where order is irrelevant.
what is expression ?An expression in mathematics is a collection of characterizations, digits, and huge corporations that resemble a significant correlation or regimen. A real number, a flexible, or a combination of the two can be used as an expression. Mathematical operators include addition, multiplication and division, rapid spread, separation, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.
The combination formula gives the number of ways to choose 5 numbers from a set of 28 where order is irrelevant:
(k!(n-k)!) = nCk
where n represents the total number of items in the set (28 in this case), and k represents the number of items to be chosen (5 in this case).
When we plug in the values, we get:
\(28C5 28!/(5!(285)!) (28x27x26x25x24)/(5x4x3x2x1) = 98, 280\)
As a result, there are 98,280 different ways to choose 5 numbers from a set of 28 where order is irrelevant.
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The complete question is
: A certain lottery has 26 numbers.
In how many different ways can 5 of the numbers be selcted?
(assume that order of selection is not important)
26! 26x25x24x23x22x21
____ -----------------= 1,578,720
(26-5)!5! 105
3(6x)-8x = -2+5 (2x+1)
Answer:
x = 3
Step-by-step explanation:
So you will distribute the number beside the ( )
so the equation be looking like :
18x - 8x = 10x + 5 - 2
now combine like terms
18x - 8x = 10x
5 - 2 = 3
10x = 10x +3
now subtract 10x to the other side they cross off
leaving x = 3
and so that's your answer
hope this helps
Answer:
this question is wrong i think
A human hair was measured to be 8.0•10-4 inch thick. A cat hair is measured to be 4.0•10^-1. How much greater is the thickness of the cat hair than the human hair? Writ this in standard form.
Whoever gets this right I will mark brainiest and 60 points!!
Answer:
500 times
Step-by-step explanation:
Divide the thickness of a cat hair by the thickness of a human hair.
4.0 × 10^-1 / 8.0 × 10^-4 =
= 0.5 × 10^3
= 500
500 times
Two sides of a triangle measure 15 inches and 18 inches, respectively. Which of these is NOT a possible length for the third side of the triangle? Responses 36 in. StartFragment, 36 in., 24 in. StartFragment, 24 in., 18 in. StartFragment, 18 in., 4 in.
Answer:.
Step-by-step explanation:
Find the length of the hypotenuse, side c, of a right triangle with legs of length a = 6 and b = 12.
Step-by-step explanation:
6²+12²
36 + 144 is 180
c=√180
The length of the hypotenuse is the square root of 180.
What is a length?Length is defined as the measurement or extent of something from end to end.
Consider a right-angled triangle of two leg sides (a and b), and c is the third side (hypotenuse).
Given that a = 6 and b = 12,
The Pythagorean theorem states that
c^2 = a^2 + b^2
i.e. c^2 = 36 + 144
c^2 =180
Hence, the length of hypotenuse is square root of 180.
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Express your answer in numerals. Raj had 400 cookies. He sold 2 5 of them yesterday and 1 10 of them today. How many cookies did Raj have left?
Answer:
35
Step-by-step explanation:
SAVINGS Nolan has a savings account with a current balance of $1500. What
would be Nolan's account balance after 4 years if he receives 5% interest
annually?
Answer:
Nolan's account balance would be $1800 after 4 years
Step-by-step explanation:
Simple Interest
Interest is calculated only on the original principal of a loan or on the balance of an account.
Unlike compound interest where the interest earned in the compounding periods is added to the new principal, simple interest only considers the principal to calculate the interest.
The interest earned is calculated as follows:
I=P.r.t
Where:
I = Interest
P = initial principal balance
r = interest rate
t = time
Nolan has a savings account that pays r=5% = 0.05 with an initial balance of P=$1500. It's required to find the account's balance after t=4 years.
Substituting in the formula:
I = $1500 * 0.05 * 4
I = $300
The final balance is:
A = P + I = $1500 + $300 = $1800
Nolan's account balance would be $1800 after 4 years
Identify the expressions that correctly model the distance between a point located at (-2,3) and the point (x,y). Select all the apply
The distance between the two points is
d = √( -2-x)² + (3 -y)² OR d = √ (x+2)² + (y-3)².
What is distance between two points?Distance between two points is the length of the line segment that connects the two points in a plane.
The distance between two points is expressed as;
d = √ (X-x )² + (Y-y)²
X = -2
x = x
Y = 3
y = y
Therefore the distance between the two points is
d = √( -2-x)² + (3 -y)²
or it can also be written in this form
d = √ x-(-2)² + (y-3)²
d = √ x+2)² + (y-3)²
therefore the model of the distance between the two points can be
d = √( -2-x)² + (3 -y)² OR d = √ (x+2)² + (y-3)².
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How much simple interest is earned on a principal of $700 after 5 years if the account pays 3% annually?
Answer:
21.15
Step-by-step explanation:
700 + 5 = 705
3% of 705 = 21.15
A card is drawn at random from a deck of cards.
A) Find the probability of getting a queen.
B) What is the probability that the queen is the queen of diamonds?
Answer:
A) 1/13
B) 1/52 (or 1/4)
Step-by-step explanation:
52 cards in total.
4 Queens in total.
4/52=1/13
1 Queen of diamonds.
1/4 of 1/13 = 1/4×1/13 = 1/52
The second part of the question isn't overly clear, so I think that the answer is most likely 1/52, but could be 1/4.
-simple Sums
Find an equation that will equal the number:
301
Use these numbers: 2 50 25 8 7 6
To create the equation
you can use the numbers
provided only once, but you
do not need to use all the
numbers.
2 50 25 8 7 6
Calculation zone:
50
300
30h
You can use
division,
subtraction,
multiplication,
addition and
brackets in
your equation -
as many times as
you would like!
las
Your answer:
301
D
9514 1404 393
Answer:
6×50 +8 -7 = 301
(6 -2)(50 +25) +8 -7 = 301
50×7 -25 -8×6/2 = 301
Step-by-step explanation:
We have chosen to use 301 = 300 + 1 a couple of different ways, and 301 = 350 -49. We couldn't see a way to take advantage of the factoring 301 = 43×7.
3x - [2 +3 (2-x) = S-(3-X)
if you are writing equivalent expression for 2^3 · 2^4, how many times would you write 2 as a factor?
Answer:
7 times
Step-by-step explanation:
In order to find the answer to this question you have to remember that when dealing with exponents you need to multiply the number to itself as many times as the exponent. In this case we have 2^3 we then need to multiply two by itself three times because three is it's exponent.
\(2^3 \times2^4\)
\(2^3=2\times2\times2\)
\(2^4=2\times2\times2\times2\)
\(2\times2\times2\times2\times2\times2\times2=\)
\(3+4=7\)
\(=7\)
Hope this helps.
I’m not sure how to make the upsidedown T on my keyboard ;-;
but please help, try to provide an explanation!
⊥T
Hope this is what you're looking for! (✿◠‿◠)
Answer:
You'll see this character in the list over on Wikipedia, and you'll notice that there's a code next to it, in this case 0287 is the Unicode character code for the upside-down T
Step-by-step explanation:
please mark me brainliest
The following scatterplot shows two variables, x and y, along with a least-squares model.
Which of the following is a high leverage point with respect to the regression?
A (5,8)(5,8)
B (20,31)(20,31)
C (27,22)(27,22)
D (30,60)(30,60)
E (80,70)
Answer:
D(30,60)
Step-by-step explanation:
It was way outside the other points that are around the line.
The point (30,60) is a high leverage point on the regression plot.
What is High leverage points?High leverage points are those that are extreme but follow the regression equation's trend.
High leverage points are distinct from outliers, which deviate from the graph's or plot's pattern or trend.
Looking closely at the regression plot, the coordinate (30,60) follows the trend of the plot, however, it is farther from the majority of the points on the graph.
Hence, the point (30,60) is a high leverage point on the regression plot.
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(3x + 5) (x - 2)
Multiply?
Answer:
\(3x^2-x-10\)
Step-by-step explanation:
This equation cannot be simplified by much, so, the final answer is still an equation, \(3x^2-x-10\).
Hope this helped! :)
Answer:
Here,
(3x+5)(x-2)
=3x^2-6x+5x-10
=3x^2-x-10
=3x^2-6x+5x-10
=3x(x-2)+5(x-2)
=(3x+5)(x-2)
Please help me I’m miserable because I was sick.It’s 2:00AM and this is due at 8 somebody please help me
Answer:
see explanation
Step-by-step explanation:
(a)
the angles shown are alternate interior angles and are congruent
(c)
since they are congruent , then
- 1 + 8x = 7x + 11 ( subtract 7x from both sides )
- 1 + x = 11 ( add 1 to both sides )
x = 12
(d)
then
7x + 11 = 7(12) + 11 = 84 + 11 = 95
- 1 + 8x = - 1 + 8(12) = - 1 + 96 = 95
The auto parts department of an automotive dealership sends out a mean of 4.34.3 special orders daily. What is the probability that, for any day, the number of special orders sent out will be exactly 55
Answer:
\(P(X = 5) = 0.166\)
Step-by-step explanation:
Given
\(Mean = 4.3\)
\(x = 5\)
Required
Determine the probability that the order is 5
This question can be answered using Poisson distribution.
\(P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}\)
Where
\(\alpha\) is used to represent the mean
and
\(\alpha = 4.3\)
\(x = 5\)
\(e = 2.71828\) ---- Euler's constant
So, we have:
\(P(X = x) = \frac{\alpha ^x e^{-\alpha}}{x!}\)
\(P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{5!}\)
\(P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{5* 4 * 3 * 2 *1}\)
\(P(X = 5) = \frac{4.3^5 * 2.71828^{-4.3}}{120}\)
\(P(X = 5) = \frac{1470.08443 * 0.01356859825}{120}\)
\(P(X = 5) = \frac{19.9469850243}{120}\)
\(P(X = 5) = 0.1662248752\)
\(P(X = 5) = 0.166\) Approximated
. Initially 100 milligrams of a radioactive substance was present.
After 6 hours the mass had decreased by 3%. If the rate of
decay is proportional to the amount of the substance present at
time t, nd the amount remaining after 24 hours.
Answer:
Incomplete Question
Determine which integer in the solution set will make the equation true. 4p + 12 = 16 S: {−1, 1, 3, 4} −1 1 3 4
Answer: The correct integer is 2.
Step-by-step explanation:
4s − 14 = −6
4(2) − 14 = −6
8 - 14 = -6
-6 = -6 .np it was tough but here! brainliest pls ?
20 PTS !!!!!!
HELP PLEASE
what is the lcm of 16 20 and 40
Answer:
80
Step-by-step explanation:
Multiples of 16:
16, 32, 48, 64, 80, 96, 112
Multiples of 20:
20, 40, 60, 80, 100, 120
Multiples of 40:
40, 80, 120, 160