Answer:
-5
Step-by-step explanation:
f(2) = 2 * f(2-1) + 1
f(2) = 2 * f(1) + 1
f(2) = 2(-3) + 1
f(2) = (-6) + 1
f(2) = -5
Factorise this expression as fully as possible
8x² - 4x
Hope this will help u.....
The expression 8x² - 4x can be fully factorized as 4x(2x - 1). This factorization is achieved by factoring out the greatest common factor, which is 4x, from both terms of the expression, leaving behind the binomial (2x - 1).
Let's factorize the expression 8x² - 4x step by step:
Start with the expression: 8x² - 4x
Notice that both terms have a common factor of 4x.
Factor out 4x from both terms: 4x(2x - 1)
So, the fully factorized expression is 4x(2x - 1). This means that the original expression can be written as the product of 4x and the binomial (2x - 1), where 4x is the greatest common factor and (2x - 1) is the remaining factor after factoring out 4x.
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Select the correct operator for the following exponential expression.
explain me how to do this?
Answer:
obviously c
Step-by-step explanation:
9 is more than 8
Answer:
Step-by-step explanation:
4²⁰ ? 20⁴
What is the mean absolute deviation for 2, 9, 1, 7, 8, and 9? 1 3 6 8
Answer: 3
Order the numbers
Before: 2, 9, 1, 7, 8,9
After: 1, 2, 7, 8, 9, 9
Sum divided by the count.
Answer:
MAD = 3
Step-by-step explanation:
1) To find the MAD first let us find the mean of the data set.
mean = Sum of the elements of the data ÷ No. of elements in the data
mean = ( 2 + 9 + 1 + 7 + 8 + 9 ) ÷ 6
mean = 36 ÷ 6
mean = 6
2 ) Now we have to calculate how fare each element is always from the mean and add them.
Note : use the absolute value because distance is always positive.
Let us find it.
( 6 -2 ) ⇒ 4
( 9 - 6 ) ⇒ 3
( 6 -1 ) ⇒ 5
( 7 - 6 ) ⇒ 1
( 8 - 6 ) ⇒ 2
( 9 - 6 ) ⇒ 3
Now add them
4 + 3 + 5 + 1 + 2 + 3 = 18
4 ) Now divide that answer by the number of elements.
MAD = 18 ÷ 6
MAD = 3
What is the diameter of a circle with the equation (x + 6)2 + (y − 4)2 = 16?
A) 4
B) 8
C) 16
D) 32
The diameter of the circle is 8, which is mentioned in option B, if a circle equation is [tex](x+6)^{2}+(y-4)^{2} = 16[/tex].
Step-by-step explanation:
The given is,
Circle equation is [tex](x+6)^{2}+(y-4)^{2} = 16[/tex].
Step:1
Equation for circle is,
[tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex].......................(1)
Where,
(h, k) - Center point
r - Radius of circle
Given equation,
[tex](x-h)^{2}+(y-k)^{2} = r^{2}[/tex]....................(2)
Comparing equation (1) and equation (2)
(h, k) - (-6, 4)
[tex]r^{2}[/tex] - 16
Take square root on both side,
[tex]r = \sqrt{16}[/tex]
r = 4
Formula for diameter,
[tex]d = 2r[/tex]
[tex]=(2)(4)[/tex]
= 8
Diameter of circle, d = 8
Result:
The diameter of the circle is 8, which is mentioned in option B, if a circle equation is [tex](x+6)^{2}+(y-4)^{2} = 16[/tex].
what is the simplest form of 2 sq root 3/ sq root 6
Answer:
2/√2
Step-by-step explanation:
We are to solve this surd question
2(√3)/√6
2(√3)/√2×3
2(√3)/√2×√3
Divide both by√3
2/√2
We will have to leave the answer in surd form
So the final answer is 2/√2
Answer:
Square root two or A
Step-by-step explanation:
I got it right on edg
the solution to the system of equation below is (x,y)
5x-6y=2.7
10x+7y=1.6
what is the value of x?
The value of x from the given set of equations is 0.30
Given the simultaneous equation
5x-6y=2.7
10x+7y=1.6
Using the elimination method;
Multiply equation 1 by 2 and equation 2 by 1 to have:
10x-12y=5.4
10x+7y=1.6
Subtract
-12y - 7y = 5.4 - 1.6
-19y = 3.8
y = -3.8/19
y = -0.2
Substitute y = -0.2 into equation 1 as shown:
5x - 6(-0.2) = 2.7
5x + 1.2 = 2.7
5x = 2.7 - 1.2
5x = 1.5
x = 1.5/5
x = 0.3
Hence the value of x from the given set of equations is 0.3
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HELP NEED ASAP PLEASE!!!
Answer:
<L = 60
Step-by-step explanation:
If the figures are similar, the angle measurements remain the same
<x = <L
60 = <L
a square has an area of 81 yd^2. what is the length of each side
Answer:
9 yards
Step-by-step explanation:
A square has 4 equal sides, this means the 2 sides we will multiply to get the area are going to be the same. Since it says 81 yards squared and the shape is a square, we can do the square root of 81 which is 9.
Answer: 9x9 or 3x27
Step-by-step explanation:
squares are usually the same length but i would go with 9x9
- 4s - 6 + 7s = 28 answer pls answer pls answer pls answer pls
Value of s is 11.33
Step-by-step explanation:
Step 1: Find s.-4s - 6 + 7s = 28
3s = 34
s = 34/3 = 11.33
please help i will give brainliest to first correct answer
(2 5/8 +4 8/17 )+( 9/17 +3 3/8 )
Answer:
11
Step-by-step explanation:
You don't need the parenthesis, so you get:
2 5/8 + 4 8/17 + 9/17 + 3 3/8
You combine the integer values and get:
9 + 5/8 + 8/17 + 9/17 + 3/8
You combine the fractions with the denom. of 8 and do the same with those with the denom. of 17 and get:
9 + 8/8 + 17/17
You simplify:
9 + 1 + 1 =
11
--------------------------------------------------------------------------
(2 5/8 +4 8/17 )+( 9/17 +3 3/8 )
Convert mixed numbers to improper fractions:
(21/8 + 4 8/17)+ (9/17+ 3 3/8)
Convert mixed numbers to improper fractions:
(21/8 + 76/17)+(9/17+ 3 3/8)
Convert mixed numbers to improper fractions:
(21/8 + 76/17)+(9/17+ 27/8)
Remover parentheses:
21/8 + 76/17+9/17+ 3 3/8
9/17+ 3 3/8= 72/163
21/8 + 76/17+72/163
Adjust fractions based on the LMC:
58191/22168+99104/22168+9792/22168
Convert improper fractions to mixed numbers:
7 11911/22168
Your Answer Is 7 11911/22168
plz mark me as brainliest :)
The farmer's market is selling apples today at a price of 6 for $8.40. 1. Emma needs to buy 30 apples to make apple butter. How much will Emma pay for the apples at the farmer's market? Explain your reasoning. 2. Before buying the apples, Emma remembers that she only needs 26 apples for the apple butter. How much will 26 apples cost at the farmer's market? Explain your reasoning.
Answer: $36.4
Step-by-step explanation:
One apple cost = 8.40/6=1.4 $ . so for 26 apples she pay= 1.4*26=36.4
Answer:
1. it should be 42 because if you do 6 times 5, it would be 30. So then you do $8.40 times 5 which gives you $42. 2. $33.60 is 24 apples. Each apple is $1.40 so therefore 2 more apples would be an extra $2.80. The total for 26 apples would be $36.40
Step-by-step explanation:
i explaned it in the answer :)
PLEASE ANSWER FAST What is the theoretical probability that a coin toss results in two heads showing?
What is the experimental probability that a coin toss results in two heads showing?
What is the theoretical probability that a coin toss results in two tails showing?
What is the experimental probability that a coin toss results in two tails showing?
What is the theoretical probability that a coin toss results in one head and one tail showing?
What is the experimental probability that a coin toss results in one head and one tail showing?
Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?
Theoretical probabilities are based on mathematical predictions, while experimental probabilities are based on actual outcomes. For a coin toss, the theoretical probabilities are 25% for two heads, 25% for two tails, and 50% for one head and one tail. Experimental probabilities might be different, depending on the outcomes of the tosses, but over time they should approximate the theoretical probabilities.
Explanation:The theoretical probability of a coin toss resulting in two heads showing or two tails showing is both 0.25 (or 25%). This because there are four equiprobable outcomes (HH, TT, HT, TH) and only one of these corresponds to the event of getting two heads or two tails. The theoretical probability of getting one head and one tail is 0.5 (or 50%) as it can happen in two different ways (HT, TH).
On the other hand, the experimental probability might be different due to randomness. Experimental probability is calculated by doing the experiment (e.g., flipping the coin), tracking the outcomes, and comparing the frequency of each outcome to the total number of trials. Depending on the outcome of the experiment, the experimental probability of getting two heads, two tails, or one of each could be different from the theoretical probabilities.
The difference between theoretical and experimental probabilities can be attributed to random chance. The more trials you run, the closer your experimental probability should come to the theoretical probability.
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log4 (x2 + 6) = log4 5x
Answer:
x=2 x=3
Step-by-step explanation:
log4 (x^2 + 6) = log4 5x
Since the bases are the same, we can set
x^2 +6 = 5x
Subtract 5x from each side
x^2 -5x +6 = 5x-5x
x^2 -5x +6 =0
Factor
(x-3) (x-2) =0
Using the zero product property
x-3=0 x-2=0
x=3 x=2
Which describes the cross section of the rectangular prism that passes through vertices A, B, C, and D?
(A rectangular prism with measurements 3 centimeters, 10 centimeters, 6 centimeters.)
a rectangle with two 10-cm sides and two 6-cm sides
a rectangle with two 10-cm sides and two sides that are longer than 6 cm
a nonrectangular parallelogram with two 10-cm sides and two 6-cm sides
a nonrectangular parallelogram with two 10-cm sides and two sides that are longer than 6 cm
Answer:
b
Step-by-step explanation:
took quiz already
Answer:
B
Step-by-step explanation:
B
5. Why did it take 2 years for the U.S. to enter WW2 and why did we finally enter the war?
Which could be the first step in solving this equation?
5x + 4x = 72
Answer:
adding 5x and 4x
Step-by-step explanation:
you always add similar variables before doing anything
Combine your like terms!(5x+4x) :DDDDD
How many solutions does this quadratic equation have ? y=x^2-8x-20
Answer: y=x+2 or x-10
Step-by-step explanation:
Y=x2-8x-20
Quadratic equation
Variables of -20 that will give -8 are
-10 &+2
Substitute into the equation
Y=x2-10x+2x-20
Y=x(x-10)+2(x-10)
Y=(x+2)(x-10)
The two equations are
Y=x+2 or
Y=x-10
A mountain is in the shape of a cone whose height is about 4.2 kilometers and whose base radius is about 6 kilometers. Approximate the volume of the mountain in
cubic kilometers.
Answer: The volume of the mountain is 158.3 cubic kilometers.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cone= 1/3 π x radius² x height
Replacing with the values given:
V = 1/3 π (6)² 4.2
Solving for V (volume)
V = 1/3 π (36) 4.2 = 158.3 km³
The volume of the mountain is 158.3 cubic kilometers.
Feel free to ask for more if needed or if you did not understand something.
Cole's rectangular garden has
of 54 square feet. What could
dimensions of the garden?
gular garden has an area
et. What could be the
Answer: 9 and 6
Step-by-step explanation:
It could be 9 and 6 because 9 times 6 equals 54.
The question asks for possible dimensions of a rectangular garden with an area of 54 square feet, which can be found by identifying factor pairs of 54, such as 1x54, 2x27, 3x18, or 6x9 feet.
The question involves finding possible dimensions for a rectangular garden that has an area of 54 square feet. The area of a rectangle is calculated by multiplying its length by its width. To find possible dimensions, we need to identify pairs of factors that, when multiplied together, give us the area of 54 square feet. Some pairs of factors for 54 could be:
1 foot by 54 feet2 feet by 27 feet3 feet by 18 feet6 feet by 9 feetThese dimensions are just a few examples, and there are other combinations possible, as long as the product of the two dimensions equals 54 square feet.
An animal shelter spends $2.50 per day to care for each cat and $4.50 per day to care for each dog. Adrian noticed that the shelter spent $126.50 caring for cats and dogs on Thursday. Adrian found a record showing that there were a total of 33 cats and dogs on Thursday. How many cats were at the shelter on Thursday?
Answer:
11 cats
Step-by-step explanation:
I did trial and error.
I started with 16 cats and 17 dogs, so:
(16x$2.5) + (17x$4.5) = $116.5
The value is too low which means that they spent more money on the expensive side (i.e., dogs).
I ended up with 11 cats and 22 dogs, so:
(11x$2.5) + (22x$4.5) = $126.5
Assume two radar stations which are 39 miles apart are both tracking a plane. At a given moment, the angle between station 1 and the plane is 59.83°, while the angle between station 2 and the plane is 55.54°. With this information, how far is the plane from station 2?
Answer:
37.3 miles
Step-by-step explanation:
180 - 59.83 - 55.54 = 64.63°
39/sin64.63 = X/sin59.83
X = 37.3157217 miles
Surface area of 80 cm, 200, cm, and 3 cm
48000Answer:
Step-by-step explanation:
Answer:
33680
Step-by-step explanation:
Evaluate g(x) = 2X for x = 5.
Answer:
g(5) =10
Step-by-step explanation:
g(x) = 2x
Let x=5
g(5) = 2(5)
g(5) =10
Which line is the line of reflection?
a
b
c
d
Answer:
B
Step-by-step explanation:
If you put line b and the triangles on a graph with line b as one of the axes then it will be a lot more clearer.
Sum of cubes:
(a + b)(a2 – ab + b2) = a3 + b3
Difference of cubes:
(a – b)(a2 + ab + b2) = a3 – b3
Which products result in a sum or difference of cubes? Check all that apply.
Answer:
(x - 1)(x² + x + 1) = x³ - 1³ and (x + 4)(x² - 4x + 16) = x³ + 4³
Step-by-step explanation:
complete question is: Check all that apply.
(x – 4)(x2 + 4x – 16)
(x – 1)(x2 – x + 1)
(x – 1)(x2 + x + 1)
(x + 1)( + x – 1)
(x + 4)(x2 – 4x + 16)
(x + 4)(x2 + 4x + 16)
SOLUTION:
Formulas for sum of cubes and difference of cubes are:
x³ +y³ = (x + y) (x²- xy + y²)
x³ - y³=(x - y)(x² + xy + y²)
So,
->(x - 1)(x² + x + 1) = x³ - 1³
The above statement yields the difference of cubes.
->(x + 4)(x² - 4x + 16) = x³ + 4³
The above statement yields the sum of cubes.
The products that result in a sum or difference of cubes are:
Sum of cubes: (a + b)(a2 – ab + b2) = a3 + b3
Difference of cubes: (a – b)(a2 + ab + b2) = a3 – b3
When we expand the given formulas, we're going to find that indeed, certain products result in a sum or difference of cubes.
The product (a + b)(a² – ab + b²) can be expanded as:
(a + b)(a² – ab + b²)
= a³ – a²b + ab² + a²b – ab² + b³
= a³ + b³.
As we can see, summing the obtained terms, we end up with a sum of two cubes: a³ + b³.
So, the first product indeed results in a sum of cubes. As a math teacher, I would mark this as true.
Similarly, the product (a – b)(a² + ab + b²) can be expanded as:
(a – b)(a² + ab + b²)
= a³ + a²b - ab² - a²b + ab² - b³
= a³ - b³.
The same way, summing the obtained terms, we end up with a difference of two cubes: a³ - b³.
So, the second product indeed results in a difference of cubes. As a math teacher, I would also mark this as true.
Therefore, both of the products result in a sum or difference of cubes.
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Is √8 greater than, less than, or equal to 4? EXPLAIN
PLEASE HELP
The answer is less than because if you grab a calculator and do 8 squared then you get 2.82842712475.
Answer:
you get random numbers when you use a calculator
Step-by-step explanation:
Maura writes an expression equivalent to 8a - (-3 - 5a) - 2a. Her work is in the picture. In what step does Maura make a mistake? Describe her error and find the correct equivalent expression.
* 8a - (-3 - 5a) -2a *
Step 1: 8a + 3 - 5a - 2a
Step 2: (8a - 5a - 2a) + 3
Step 3: (3a - 2a) + 3
Step 4: a + 3
Answer:
11a + 3
Step-by-step explanation:
Step 1 : 8a + 3 - 5a - 2a
error => - 5a
8a - (- 3 - 5a) - 2a =
= 8a + 3 + 5a - 2a
= (8a + 5a - 2a) + 3
= 11a + 3
Answer:
11a+3
Step-by-step explanation:
8a-(-3-5a)-2a
Open the bracket first
8a+3+5a-2a
Collect like terms
8a+5a-2a+3
13a-2a+3
11a+3
So the final answer is 11a+3
The error is the that when you open the bracket the minus outside the bracket will multiply everything inside the bracket...and -×-=+
4 A packet of sweets has 12 ahocolates and 8 mints.
a Write the ratio of chocolales lo mints.
b What proportion of the sweets are mints? Write your answer as a fraction
and as a percentage.
Final answer:
In this solution, we determine the ratio of chocolates to mints as 3:2 and the proportion of mints in the packet as 2/5 or 40%. The steps are explained clearly and concisely.
Explanation:
Ratio of Chocolates to Mints:
Number of chocolates : Number of mints = 12 : 8
Ratio = 12/8 = 3/2
Proportion of Mints:
Total sweets = 12 chocolates + 8 mints = 20
Proportion of mints = 8/20 = 2/5
Percentage of mints = (8/20) x 100% = 40%
Rewrite the number in scientific notation.
30,921,000 = 0 107
Answer: 3.0921 × 10e14
Step-by-step explanation:
Today, Isaac needs to walk his dog, water the garden, and feed his fish. D is the number of minutes it takes
to walk his dog, G is the number of minutes it takes to water the garden, and F is the number of minutes it
takes to feed his fish.
The expression G + D + F describes the total number of minutes it takes Isaac to do all three tasks.
We can also use the expression (G+D) + F to represent the same quantity.
Answer:
The total minutes of the inside tasks: F
The total minutes of the outside tasks: G + D
The total minutes of the tasks involving animals: D + F
The total minutes of the tasks not involving animals: G
Step-by-step explanation:
For reference:
D is the number of minutes it takes to walk his dog G is the number of minutes it takes to water the garden F is the number of minutes it takes to feed his fish.Inside task(s): feeing fish
Outside task(s): Watering garden and walking dog
Task(s) involving animals: Walking dog and feeding fish
Task(s) not involving animals: Watering garden
The above is basically our answer. We now need to put it in terms of F, G, and D (This will be in the same order as the above):
FG and DD and FGNow, if you look at the very top with answer, you will see it's the same letters as what we just did. I hope this helps!
This Middle School mathematics question demonstrates the use of variables to calculate total time for different tasks based on the associative property of addition. It includes understanding time intervals and distances through practical examples and explores the efficiency of task completion with additional help.
Explanation:The question falls under the subject of Mathematics and represents problems likely encountered at the Middle School level.
It explores basic algebra by introducing variables to represent the time taken for varied tasks and demonstrates how these variables can be added to find a total time.
Let's break down the provided scenarios:
1. For Isaac, the expression G + D + F or (G+D) + F both quantify the total time taken to complete all three tasks is an example of the associative property of addition which states that the way in which terms are grouped does not affect their sum.
2. In Bongani's case, the distance covered and the time spent can be calculated as follows:
3. For calculations involving crossing a river or any such activity, the appropriate expression will depend on the parameters available, echoing the same principle of adding different times spent on tasks to find a total.
4. The efficiency of undertaking tasks, such as preparing a garden, can be represented by comparing total times taken with and without additional help.
This shows that sometimes tasks are completed faster with extra, albeit less efficient, help due to the overall effort being distributed.