Answer:
B:3
Step-by-step explanation:
2(x +10)-17 = 5 + 2x - 2
22
the quadratic function f(x)=x^2-8x-4.
Answer:
f(x)=(x-4)^2-20
Step-by-step explanation:
hope this helps!
Edward spends £610 on a plane ticket and $180 on airport tax. Using £1 = $1.34, what percentage of the total cost does Edward spend on airport tax? Give your answer rounded to 1 dp.
Answer: 18.0%
Step-by-step explanation:
Given: Cost of plane ticket = £610 = $ 610 x 1.34 [ £1 = $1.34 ]
= $ 817.4
Airport tax = $180
Total cost = $(817.4+180)= $997.4
The percentage of the total cost does Edward spend on airport tax = [tex]\dfrac{180}{997.4}\times100\approx18.0\%[/tex]
Hence, the required answer = 18.0%
Select the quadratic expression that represents the product below.
(2x+5)(7-4x)
A. -8x2 - 6x + 35
B. -8x2 - 34x + 35
C. -8x2 + 34x - 35
D. -8x2 + 6x - 35
12 batteries cost $30 = ? dollars per battery
Answer:
2.50
Step-by-step explanation:
You just divide 30 by 12... and that will give you the cost of one battery.
Drag the numbers to order them from least to greatest.
Express V in terms of T
Answer:
v = [tex]\frac{4t-1}{3}[/tex]
Step-by-step explanation:
Given
t = [tex]\frac{3v+1}{4}[/tex] ( multiply both sides by 4 to clear the fraction )
4t = 3v + 1 ( subtract 1 from both sides )
4t - 1 = 3v ( divide both sides by 3 )
[tex]\frac{4t-1}{3}[/tex] = v
Хеллльпппппп please ......
Answer:
B
Step-by-step explanation:
Simplify 4 (x3 – 3y2) – 2 (3x3 – 5y2)
[tex] \huge \bold{answer}[/tex]
The buildings of a university are mapped on a coordinate grid with the origin being at library.
The Math building is located at the point (1, 5) and the History building is located at (4, 9).
How far is it from the Math building to the History building?
Applying the distance formula, the distance between the the Math building to the History building is: 5 units.
What is the Distance Formula?To find the distance between two given points on a coordinate grid, the distance formula which is used is: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].
Given the following:
Math Building (1, 5) = (x1, y1)History building (4, 9) = (x2, y2).Plug in the values into the distance formula:
d = √[(4−1)² + (9 − 5)²]
d = √[(3)² + (4)²]
d = √(9 + 16)
d = √25
d = 5
Distance between the the Math building to the History building is: 5 units.
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1 x 0.0016 -
helppppppp!have a good day:)
Answer:
= 0.0016
Step-by-step explanation:
anything times one is the same number
What is the y-intercept of a line that has a slope of –3 and passes through point (0, –7)?
A. -7
B. –3
C. 0
D. 4
Answer:
A) - 7
slope -intercept form y = - 3x - 7
slope m =-3 and y - intercept c = -7
Step-by-step explanation:
Explanation:-
Given that slope 'm' = -3 and point (0,-7)
The equation of the straight line passing through the point and having slope 'm'
y - y₁ = m ( x- x₁)
The equation of the straight line passing through the point ( 0,-7) and slope m = -3
y - (-7) = -3 ( x -0)
y +7 = -3x
3x +y + 7=0
The equation of the line 3x +y + 7=0
Final answer:-
slope -intercept form y = - 3x - 7
slope m =-3 and y - intercept c = -7
Find 9,528 ÷ 6. help pls dis due today and its ez D:
Answer:
1588
Step-by-step explanation:
ok I did this my self the answer is 1,588
[tex] - 2x - 4y = 10 \\ 2x + 4y = - 10[/tex]
please find the point of intersection
Answer:
They are the same slope
Step-by-step explanation:
When you convert both equations you get y=-[tex]\frac{1}{2\\}[/tex]x-[tex]\frac{5}{2}[/tex]
Someone help me ASAP thank you
Answer:
1/2
Step-by-step explanation:
sin
(
20
)
cos
(
10
)
+
cos
(
20
)
sin
(
10
)
Decimal Form:
0.5
Answer:
c or b please dont get mad if i get it wrong
Step-by-step explanation:
your welcome
Due in 11 minutes please help me ASAP
Answer: (d)
Step-by-step explanation:
Given
No of tickets sold can be given by the equation
[tex]35x-260>1000[/tex]
Solving inequality
adding 260 on both sides
[tex]35x-260+260>1000+260\\35x>1260[/tex]
Now, divide the inequality by 35
[tex]x>\frac{1260}{35}\\x>36[/tex]
Thus artist need to sell a minimum of 37 tickets to earn more than $1000
Simplify 3(u-3)-5u Please and thankyou
Answer:
Step-by-step explanation:
Answer:
-2u-9
Step-by-step explanation:
Simplify
3(u-3)-5u
first, distribute
3u-9-5u
-2u-9
What is the slope of the line in the graph
[tex]Write x^{2} -12x+19 in the form (x+a)^{2} +b[/tex]
Answer:
(x - 6)² - 17
Step-by-step explanation:
Given
x² - 12x + 19
Using the method of completing the square
add/ subtract ( half the coefficient of the x- term )² to x² - 12x
= x² + 2(- 6)x + 36 - 36 + 19
= (x - 6)² - 17
Ella traveled at an average speed of 65 per hour for 2.5 hours and then traveled at an average speed of 60 miles per hour for 3.5 hours. What was the total distance in miles traveled by Ella? *
Answer:
372.5 miles
Step-by-step explanation:
First, find how many miles she traveled at 65 mph:
65(2.5)
= 162.5
Then, find how many she traveled at 60 mph:
60(3.5)
= 210
Add these together:
162.5 + 210
= 372.5
So, Ella traveled 372.5 miles in total
7th grade math, please help. I’ve got an answer but I wanna make sure it’s right. Thanks.
Answer:
yes your right buddy
Step-by-step explanation:
Answer:
im in 9th and i still cant do this :(
Assume there is a 50% chance of having a boy. Find the probability of
exactly two boys in three births.
Answer:
0.375
Step-by-step explanation:
Given that there is 50% chance of having a boy in a single birth.
Let it be represented by p, so
p=50%=0.5
According to Bernoulli's theorem, the probability of exactly r success in n trials is
[tex]P(r)=\binom {n}{ r} p^r(1-p)^{n-r}[/tex]
where p is the probability of success.
So, the probability of exactly 2 boys (success) in a total of 3 birth (trials) is
[tex]P(r=2)=\binom {3}{ 2} p^2(1-p)^{3-2}[/tex]
As p=0.5, so
[tex]P(r=2)=\binom {3}{ 2} (0.5)^2(1-0.5)^{3-2} \\\\=\binom {3}{2} (0.5)^2(0.5)^{1} \\\\=3\times 0.5^3[/tex]
=0.375
Hence, the probability of exactly 2 boys in a total of 3 birth is 0.375.
Select the correct answer
from each drop-down menu.
The function f(X) = x^3 has been transformed, resulting in function h.
h(x) = -(x + 2)^3– 4
To create function h, function f was translated 2 units (BLANK)
translated 4 units (BLANK)
,and reflected across the
Answer:
Translated 2 units Right
and Translated 4 units left and Across the y - axis
Now the new function is
h(x) = -( x + 2 )³ - 4
Step-by-step explanation:
Step(i):-
Type of transformation change of function
a) The translated left 'c' units x - c
b) The translated Right 'c' units x + c
Step(ii)
The given function f(x) = x³
The given function is translated '2' units right side then the new function
h(x) = ( x + 2 )³
and next the translated '4 ' units left sides and reflected across the y-axis
Now the new function is
h(x) = -( x + 2 )³ - 4
Answer: left, down,x-axis
Step-by-step explanation:
Will mark brainiest! !!50 Points!! The first question since it got cut off is : (A) is the sequence arithmetic, geometric, or neither? How do you know?
Answer:
Geometric
Step-by-step explanation:
Answer:
Geometric, 81, 3
Step-by-step explanation:
A geometric sequence is defined as one that continues with multiplication.
We can tell that the sequence proceeds by multiplying 1/3.
a2 is 81 because it is the second term given in the sequence.
a5 is 3 because it equals a4 *1/3, which is 9*1/3 which is 3
I hope this helps! :)
Simplify the expression to a form in which 2 is raised to a single integer power. fraction numerator open parentheses 2 to the power of 10 close parentheses cubed 2 to the power of short dash 10 end exponent over denominator 2 to the power of short dash 7 end exponent end fraction
Answer:
2^27
Step-by-step explanation:
Given the following expression:
[(2^10)^3 x (2^-10)] ÷ 2^-7
This can be easily simplified. Let us simplify the numerator first. To do that, we have
(2^10)^3 making use of the power rule of indices that says:
(A^a)^b = A^ab where a and b are powers, we have:
2^(10x3) = 2^30
Therefore the numerator becomes:
2^30 x 2^-10. Also making use of the multiplication rule that says:
A^a x A^b = A^(a + b), we have
2^30 x 2^-10 = 2^(30 – 10) = 2^20.
Now we have:
(2^20) ÷ (2^-7)
To simplify this, we need the division rule of indices which says:
A^a ÷ A^b = A^(a – b)
Therefore we have:
(2^20) ÷ (2^-7) = 2^[20 – (–7)] = 2^(20+7) = 2^27
Following are the solution to the given expression:
Given:
[tex]\to \frac{[(2^{10})^3 \times (2^{-10})]}{2^{-7}}[/tex]
To find:
value=?
Solution:
[tex]\to \frac{[(2^{10})^3 \times (2^{-10})]}{2^{-7}}[/tex]
Using formula:
[tex]\to (A^a)^b = A^{ab}\\\\\to A^a \div A^b = A^{(a - b)}[/tex]
Solve the equation:
[tex]\to \frac{[(2^{30}) \times (2^{-10})]}{2^{-7}} \\\\\to \frac{(2^{30})}{2^{-7}} \times \frac{(2^{-10})}{2^{-7}} \\\\ \to \frac{(2^{30})}{2^{-7}} \times \frac{(2^{-10})}{2^{-7}} \\\\\to (2^{30 - (-7)}) \times (2^{-10- (-7)}) \\\\\to 2^{37} \times 2^{-3} \\\\\to 2^{37 -3} \\\\\to 2^{34} \\\\[/tex]
Therefore, the final answer is "[tex]\bold{2^{34}}[/tex]".
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Levi is going to see a movie and is taking his 5 kids. Each movie ticket costs $14 and there are an assortment of snacks available to purchase for $4 each. How much total money would Levi have to pay for his family if he were to buy 6 snacks for everybody to share? How much would Levi have to pay if he bought x snacks for everybody to share?
Answer:
Levi would have to pay $94 if he bought all 5 kids movie tickets and 6 snacks for everyone to share (god that's a lot of money for a movie)
Step-by-step explanation:
The mean temperature for the first 4 days in January was 3°C.
The mean temperature for the first 5 days in January was 1°C.
What was the temperature on the 5th day
Answer:
it is 4 C
Step-by-step explanation:
because it is the first 4 days of January and it was 3C and on the 5 day it was 1C add it up and you will get 4C
PLEASE HELP QUICK !!!
Answer:
The explicit equation is [tex]\mathbf{a_n=5n+3}[/tex]
Option A is correct option.
Step-by-step explanation:
Third term of sequence is 18
Sixth term of sequence is 33
We need to find the explicit equation for the sequence.
The explicit sequence is [tex]a_n=a_1+(n-1)d[/tex]
We need to find a_1 the first term and common difference d
We have a₃=18
We can write it as: [tex]a_3=a_1+(3-1)d\\[/tex]
[tex]18=a_1+2d[/tex]
a₆=33
We can write it as: [tex]a_6=a_1+(6-1)d\\33=a_1+5d[/tex]
Now, solving these equation s we can find value of d
[tex]18=a_1+2d[/tex]
[tex]33=a_1+5d[/tex]
Subtract both equations
[tex]18=a_1+2d[/tex]
[tex]33=a_1+5d[/tex]
[tex]--------\\-15=-3d\\d=\frac{-15}{-3}\\d=5[/tex]
So, we get common difference d = 5
Now finding a_1
Put value of d in equation [tex]18=a_1+2d[/tex]
[tex]18=a_1+2(5)\\18=a_1+10\\a_1=18-10\\a_1=8[/tex]
So, we get a₁ = 12
Now, the explicit equation is:
[tex]a_n=a_1+(n-1)d\\a_n=8+(n-1)5\\a_n=8+5n-5\\a_n=5n+3[/tex]
So, the explicit equation is [tex]\mathbf{a_n=5n+3}[/tex]
Option A is correct option.
A lock has a code of 4 numbers between 1 and 20. If no numbers in the
code are allowed to repeat, how many different codes could be made?
There are 116,280 different codes that can be made with 4 numbers between 1 and 20 without repeating any number.
What are permutation and combination?In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Here,
To find the number of different codes that can be made with 4 numbers between 1 and 20 without repeating any number, we can use the permutation formula, nPr = n! / (n-r)! where n is the total number of items and r is the number of items we want to choose.
In this case, we have n = 20 (the total number of numbers we can choose from) and r = 4 (the number of numbers we need to choose).
So, the number of different codes that can be made is:
20P4 = 20! / (20-4)! = 20! / 16! = 20 × 19 × 18 × 17 = 116,280
Therefore, there are 116,280 different codes that can be made with 4 numbers between 1 and 20 without repeating any number.
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A) I sell one piece of wood for £1000, however the price has increased by 5000% how much do I make from selling 64 pieces of wood?
B) I sell one piece of wood for £2000, however the price has increased by 5000% how much do I make from selling 64 pieces of wood?
C) I sell one piece of wood for £1000, however the price has increased by 50% how much do I make from selling 64 pieces of wood?
A) £3264000.
. £1000 increased by 5000% =£51,000
. £51,000×64=£3264000
B) £6528000
. £2000 increased by 5000% =£102,000
. £102,000×64=£6528000
Step-by-step explanation