Answer:
(2x+5)(x+4)
Step-by-step explanation:
9514 1404 393
Answer:
(x +4)(2x +5)
Step-by-step explanation:
To factor this, you look for factors of 2·20 = 40 that have a sum of 13.
The factor pairs of 40 are ...
40 = 1·40 = 2·20 = 4·10 = 5·8
The sums of these factor pairs are 41, 22, 14, 13. The last one is the one we want.
There are several ways to use this factor pair. One of the more straightforward methods is to rewrite the middle term as a sum using these numbers:
2x² +5x +8x +20
= x(2x +5) +4(2x +5) . . . . . factor pairs of terms
= (x +4)(2x +5) . . . . . . . . . factor out the common factor
Find the perimeter and area of the figure below
Suppose a certain manufacturer deposits $7,000 at the beginning of each 3 month period for 8 years in an account paying 8% interest compounded quarterly.
Required:
a. How much (in $) will be in the account at the end of the 6 year period?
b. What is the total amount (in $) of interest earned in this account?
9514 1404 393
Answer:
a) $217,212.10 after 6 years
b) $91,780.99 interest earned
Step-by-step explanation:
The future value of this "annuity due" can be found using the formula ...
FV = P(1 +n/r)((1 +r/n)^(nt) -1)
where P is the periodic payment made n times per year and r is the annual interest rate.
a) After 6 years, the value of the account is ...
FV = $7000(1 +4/0.08)((1 +0.08/4)^(4·6) -1) = $217,212.10 . . . . 6-yr balance
__
b) After 8 years, the value in the account is ...
FV = $7000(51)(1.02^32 -1) = $315,780.99
The total of payments is $7000×32 = $224,000, so the interest earned is ...
I = $315,780.99 -224,000 = $91,780.99 . . . interest earned
8/6-5/4=
Please help quick
Answer:
1/12
Step-by-step explanation:
Write 4 2/5 as an improper faction
Answer:
22/5
Step-by-step explanation:
4 [tex]\frac{2}{5}[/tex]
new numerator for improper fraction = (4 x 5) + 2 = 20 + 2 = 22
=> 22/5
Which of the following functions is odd?
PLZ HELP URGENT
Answer: Choice D
Explanation:
This is because all of the exponents are odd for this polynomial. It might help to think of that 4x as 4x^1.
Take 9 numbers forming a calendar and mark 4 number corner. Add the square of diagonal pair and difference of the sum
Is (7,-2) a solution to the equation x - 4y = 15?
Please show work to help me understand.
Answer:
yes
Step-by-step explanation:
x - 4y = 15
Substitute the point into the equation and see if the equation is true
7 -4(-2) = 15
7+8 = 15
15 =15
This is true so the point is a solution to the equation
When solving the given equation, what is the first step?
(a)
Given: x - 3=8
А
Add 3 to both sides
B
Subtract 3 from both sides
C
Multiply -3 to both sides
D
Divide -3 from both sides
(b) What is the solution to the give equation?
Given: 1 - 3 = 8
Answer:
A
Step-by-step explanation:
You are given that x - 3 = 8
It's an equation. The first thing you do is add or subtract when you are learning how to handle equations. This is a level 1 equation. That means that the solution is just to add or subtract something.
In this case, x has 3 taken away from it. So you have to get x by itself. The way to do that is to add 3. Then the -3 on the left disappears.
x - 3 + 3 = 8+3
x = 11
The answer is A
Answer:
don't know actually but I can elaborate the solution
Step-by-step explanation:
x-3=8
x=8+3
x=11Which of the following is the best example of kinetic energy?
A book sitting on a bookshelf
A golfer preparing to putt the ball
A race car in position at the start line
A satellite orbiting the Earth
Answer:
i had this question a little while back and the right answer was
d. a satellite orbiting the Earth.
(:
Multiple 8x^8(-6x^3+5x^2+5x)
Answer:
First, start by applying the distributive law property to the given equation:
8x^8(-6x^3+5x^2+5x)
So, it'll go like this --> x (a + b + c) = xa + xb + xc
After you have the equation in this form you will then simplify.
See the steps below for better understanding.
(the answer is highlighted in red)
Solve for x: (1/3)x = 81
Answer:
243
Step-by-step explanation:
1 /3 x=81
Step 1: Multiply both sides by 3.
3*( 1 /3 x)=(3)*(81)
x=243
The value of x for the expression (1/3)x = 81 is 243.
What is an algebraic expression?An algebraic expression is consists of variables, numbers with various mathematical operations.
The given expression is,
(1/3)x = 81
To find the value of x,
Solve the expression,
(1/3)x = 81
x = 81 x 3
x = 243
The required value of x is 243.
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The mass of the eggs laid by a certain breed of hen is a normally distributed random variable with mean 0.06kg and standard deviation 0.009kg. If a random sample of 1800 eggs are sold, how many would you expect to have mass; (i)Less than 0.052 kg (standard size). (ii)Between 0.052 kg and 0.075kg (medium size).(iii)Greater than 0.075 kg (large size).
(b)If the cost of producing an egg in (a) is Gh¢0.45 and selling price of each standard, medium and large size eggs are Gh¢0.60, Gh¢0.80, and Gh¢0.95 respectively, calculate (i)The expected profit to be made from selling the standard size, medium size and large size eggs. (ii)The overall profit.
a (i) The number of standard size is 288 eggs
a (ii) The number of medium size is 1,476 eggs
a (iii) The number of large size is 36 eggs
b (i) The expected profit made from selling the standard size is Gh¢43.2
b (ii) The expected profit made from selling the medium size is Gh¢516.6
b (iii) The expected profit made from selling the large size is Gh¢16.2
The given parameters:
the mean of the distribution, m = 0.06 kg
standard deviation (std) of the distribution, d = 0.009 kg
number of the samples, n = 1800 eggs
(i) Find the position of "less than 0.052 kg (standard size)":
1 standard deviation below the mean = m - d m - d = 0.06 kg - 0.009 kg = 0.051 kg(the standard size is 1 standard deviation below the mean)
less than 1 standard deviation below the mean in a normal distribution is equal to 16% of the data samplesNumber of standard size = 0.16 x 1800 = 288 eggs(ii) Find the position of "Between 0.052 kg and 0.075kg (medium size)":
0.052 kg is 1 standard deviation below the mean2 standard deviation above the mean = m + 2dm + 2d = 0.06 + 2(0.009) = 0.078 kg(the medium size is between 1 std below the mean and 2 std above the mean)
Between 1 std below the mean and 2 std above the mean in a normal distribution = (68 + 14)% = 82%Number of medium size = 0.82 x 1800 = 1,476 eggs(iii) Find the position of "Greater than 0.075 kg (large size)":
0.078 kg is 2 standard deviation below the meangreater than 2 std above the mean in a normal distribution = 2 % of the data samples Number of large size = 0.02 x 1800 = 36 eggsCheck: 288 eggs + 1476 eggs + 36 eggs = 1,800 eggs
(b) the cost of production of an egg = Gh¢0.45
the selling price of the standard size = Gh¢0.60
the selling price of the medium size = Gh¢0.80
the selling price of the large size = Gh¢0.95
(i) The expected profit made from selling the standard size:
Profit = total revenue - cost of production
Profit = 288(0.6) - 288(0.45) = Gh¢43.2
(ii) The expected profit made from selling the medium size:
Profit = total revenue - cost of production
Profit = 1476(0.8) - 1476(0.45) = Gh¢516.6
(iii) The expected profit made from selling the large size:
Profit = total revenue - cost of production
Profit = 36(0.9) - 36(0.45) = Gh¢16.2
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you are given numbers, {30 + n, n/3, square root n+16}. Find the smallest value of n so that all of the numbers in the set are natural numbers.
========================================================
Explanation:
Let's assume that n is not negative. If we tried the smallest nonnegative value, n = 0, then we get
30+n = 30+0 = 30n/3 = 0/3 = 0sqrt(n+16) = sqrt(0+16) = 4The middle result 0 isn't a natural number. The set of natural numbers is {1,2,3,4,...} which is the set of positive whole numbers.
So we can't use n = 0.
Through trial and error, you should find that n = 9 is the next value we can try such that sqrt(n+16) is a natural number, and so is n/3.
If n = 9, then,
30+n = 30+9 = 39n/3 = 9/3 = 3sqrt(n+16) = sqrt(9+16) = 5We see that the middle result is now larger than 0 and it's a natural number. The same can be said for the last result as well.
The smallest value of n = 9 is that all of the numbers in the set are natural numbers in {30 + n, n/3, √(n+16)}.
What are Natural Numbers?Natural numbers are defined as which range from 1 to infinity, are the most fundamental sort of numbers. Commonly known as positive numbers or counting numbers, these numbers. Natural Numbers are represented by the symbol N.
Assume n is not negative for the whole number. Using n = 0, the smallest nonnegative value, we obtain
30 + n = 30 + 0 = 30
n/3 = 0/3 = 0
√(n+16) = √(0+16) = 4
In the middle result, 0, there is no natural number. The set of positive whole numbers starting with {1, 2, 3, 4, ..} is known as the natural numbers.
Therefore, n = 0 is not a possibility.
We have to determine by trial and error that n = 9 is the next possible value we may test such that √(n+16) is a natural number and so is n/3.
If n = 9, then,
30 + n = 30 + 9 = 39
n/3 = 9/3 = 3
√(n+16) = √(9+16) = 5
The middle result, which is now greater than 0, is a natural number, as can be shown. The final outcome also corresponds to this description.
Thus, the smallest value of n = 9 is that all of the numbers in the set are natural numbers.
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When subtracting a negative number from a positive number, move to the left on the number
line.
A.True
B.False
What number should be added to 2/8 to -1/12 get ?
Answer:
-1/3
Step-by-step explanation:
this is the best answer
Multiply.
(b - 7)(2b +9)
(b - 7)(2b +9)=(Simplify your answer.)
Answer:
[tex]2 {b}^{2} - 5b - 63[/tex]
Step-by-step explanation:
[tex](b - 7) \times (2b + 9)[/tex]
[tex]b \times 2b + 9b - 7 \times 2b - 7 \times 9[/tex]
[tex]2 {b}^{2} + 9b - 14b - 63[/tex]
[tex]2 {b}^{2} - 5b - 63[/tex]
which equation can be used to solve for x in the following diagram?
Answer:
A
Step-by-step explanation:
We know that it is A because the two smaller angles are being added, and we know the sum is 90 degrees. The only equation that satisfies both of these is A.
Answer:
A
Step-by-step explanation:
because it is a right angled
Solve for a: 7a = 63
Answer:
a = 9
Step-by-step explanation:
7a = 63
Divide 7 on both sides,
=> 7a/7 = 63/7
=> a = 9
What is x and the unknown angle? May I also get a brief explanation of how to do it?
Answer:
149+(13x+5)=180
154+13x=180
13x=26
x=2
Answer:
see explanation
Step-by-step explanation:
The 2 angles are adjacent on a straight line and sum to 180° , then
149 + 13x + 5 = 180 , that is
154 + 13x = 180 ( subtract 154 from both sides )
13x = 26 ( divide both sides by 13 )
x = 2
Then
unknown angle = 13x + 5 = 13(2) + 5 = 26 + 5 = 31°
Halo
please help me
Answers with Solution, ok?
The correct answer is letter C. 75. 36m³ :)
Here's the Solution:
V = π r²hV = (3.14) (2m)² (6m)V = (3.14) (4m²) (6m)V = (3.14) (24m³)V = 75.36m³HOPE THIS HELPS. GOODLUCK:)
please solve my difficult question fast
The 3 angles form the straight line AB. A straight line equals 180 degrees.
The 3 angles when added together need to equal 180:
2x + 65 + (x + 65) = 180
Simplify by combining like terms:
3x + 130 = 180
Subtract 130 from both sides
3x = 50
Divide both sides by 3
X = 50/3
X = 16 2/3 (16.66667 as a repeating decimal)
Now you have x if you need to solve all the angles replace x with its value and sole:
2x = 2(16 2/3) = 33 1/3
X + 65 = 16 2/3 + 65 = 81 2/3
Step-by-step explanation:
2x+65°+(x+65°)=180° ( sum of angle of straight angle )
3x+65°+65°=180°
3x=180°-130°
3x= 50°
now,
i) 2x=2*50=100°
ii) (x+65°) = 50+65 =115°
plz mark me brainiest and thanks
have a good day ahead...
(-_-)
26) Using the formula I = PRN, calculate the simple interest (I) on $1500 at 3% p.a. for 8 years. Show working i.e. P = 1500, R = 3% , N= 8
Answer:
I = $360
Step-by-step explanation:
Calculate the interest I using
I = PRN
with P = 1500, R = 3% = [tex]\frac{3}{100}[/tex] = 0.03 , N = 8 , then
I = $1500 × 0.03 × 8 = $360
) Find the value of 'x' and 'y' if ( 2x+3y,4) = ( 5 , 2y).
Answer:
x = -0.5
y = 2
Step-by-step explanation:
(2(-0.5)+3(2), 4) = (5, 2(2))
(-1 + 6, 4) = (5, 4)
(5, 4) = (5, 4)
What are the coordinates of the point
3
of the way from A to B?
у
4
B
2
1
+2
lo
-21
А
9514 1404 393
Answer:
(-3 1/2, 1 1/4)
Step-by-step explanation:
For some point P, we want ...
(P -A)/(B -A) = 3/4
4P -4A = 3B -3A
4P = 3B +A
P = (3B +A)/4 = (3(-3, 3) +(-5, -4))/4 = (-9-5, 9-4)/4 = (-14, 5)/4
P = (-7/2, 5/4) = (-3 1/2, 1 1/4) . . . . the desired point
Helen and Rebecca baked some muffins in the ratio 2:5. After Helen baked another 12 muffins, the ratio become 1:2. How many muffins did Helen bake altogether?
=========================================================
Explanation:
x = some positive whole number
2x = amount Helen baked initially
5x = amount Rebecca baked initially
Notice that the ratio 2x:5x reduces to 2:5 after dividing both parts by x.
So (2x)/(5x) = 2/5
Helen then bakes another 12 muffins, bumping the 2x up to 2x+12. The ratio is now 1:2, which means,
(amount Helen bakes)/(amount Rebecca bakes) = 1/2
(2x+12)/(5x) = 1/2
2(2x+12) = 5x*1 .... cross multiply
4x+24 = 5x
24 = 5x-4x
24 = x
x = 24
From here, we then can say,
Helen = 2x+12 = 2*24+12 = 48+12 = 60Rebecca = 5x = 5*24 = 120Helen baked 60 muffins and Rebecca baked 120 muffins. We see that 60:120 reduces to 1:2 after dividing both parts by the GCF 60.
Furthermore, note how
2x = 2*24 = 485x = 5*24 = 12048:120 reduces to 2:5 after dividing both parts by 24This helps confirm we have the correct answer.
If m ABC=25 and m CBD= 35 then m ABD=
Answer:
Angle ABD = 60
Step-by-step explanation:
Angle ABD = angle ABC + angle CBD
We are given that angle ABC = 25 and angle CBD = 35
So angle ABD = 25 + 35 = 60
Answer:
60
Step-by-step explanation:
to find the length of the entire angle, you will have to add both seperated sides to find it.
<ABC = 25
<CBD = 35
25 + 35 = 60
So, <ABD = 60
Hope this helped.
1. An amusement park gives away gifts to celebrate its grand opening. Every 2nd visitor will receive a
sticker, every 5th visitor will receive a hat, every 8th visitor will receive a T-shirt, and every 50th visitor
receive a ticket to use on a return visit. How often will a visitor receive all four gifts?
Answer:
Every 200 visitors, the visitor will receive all 4 gifts.
Step-by-step explanation:
With the given numbers, the lowest common number would be 200.
Every 200 visitors will receive all four gifts.
Here,
An amusement park gives away gifts to celebrate its grand opening.
Every 2nd visitor will receive a sticker, every 5th visitor will receive a hat, every 8th visitor will receive a T-shirt, and every 50th visitor receive a ticket to use on a return visit.
What is LCM?
The LCM of two or more numbers is the smallest number that is evenly divisible by all numbers in the set.
Now,
Lowest common multiple of 2, 5, 8, 50 is 200.
Hence, with the given numbers, the lowest common number would be 200.
Therefore, Every 200 visitors will receive all four gifts.
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15. x = 27 + 10 P. _; PQ = 12 •R 1 + 18
Answer:
5
Step-by-step explanation:
Please help solve please
Answer:
The choose D) -12
Step-by-step explanation:
[tex]3 {x}^{ - 4} \times x {y}^{2} \\ 3( { - 1}^{ - 4} ) \times ( - 1)(2)^{2} \\ \frac{3}{ - 1^{4} } \times - 1(4) \\ 3 \times - 4 \\ = - 12[/tex]
I hope I helped you^_^
Half of a number increased by seventeen is 8