Answer:
[tex]\huge\boxed{Second\ Number = 42}[/tex]
Step-by-step explanation:
Let the consecutive even numbers be x,x+2,x+4, x+ 6, x+ 8 and x+10
So, the given condition is:
x+x+2+x+4+x+6+x+8+x+10 = 270
6x + 30 = 270
Subtracting both sides by 30
6x = 270 - 30
6x = 240
Dividing both sides by 6
x = 40
So,
First Number = x = 40
Second Number = x+2 = 40+2 = 42
Third Number = x+4 = 40+4 = 44
Fourth Number = x+6 = 40+6 = 46
Fifth Number = x+8 = 40+8 = 48
Sixth Number = x+10 = 40+10 = 50
Answer:
22 I think
Step-by-step explanation:
A plot of land is listed for sale with the following measurements:1300 ft ×982 ft. What was the % of error of the area of the plot?
A. 1.47%
B. 14.73%
C. 1.15%
D. 11.7%
please please please help me!!
Solve for x. Just give the equations.
15.
[tex]FH=2\cdot UH\\\\5x-7=2\cdot19\\\\5x=38+7\\\\5x=45\quad|:5\\\\\boxed{x=9}[/tex]
16.
[tex]KU=UM\\\\3x+3=4x-4\\\\4x-3x=3+4\\\\\boxed{x=7}[/tex]
Answer:
15) x=9 16) x=7
Step-by-step explanation:
19(2)=5x-7
38=5x-7
5x=38+7
5x=45
x=45/5
x=9
-----------------
3x+3=4x-4
3=4x-3x-4
3=x-4
x=3+4
x=7
Which of the following numbers is divisible by 24 ? (A) 13,944 (B) 15,746 (C) 15,966 (D) 16,012 (E) none of the above
Answer:
Only A is divisible by 24.
Step-by-step explanation:
A number is divisible by 24 if it's divisible by both 3 and 8.
Numbers are divisible by 3 if all their digits add to a multiple of 3, and numbers are divisible by 8 if the last 3 digits are divisible by 8.
Let's look at A, 13944. The numbers add up to [tex]1+3+9+4+4=21[/tex], which is divisible by 3.
944 is divisible by 8, and it makes 118.
So A works.
B is 15746.
[tex]1+5+7+4+6=23[/tex], so this won't work as 23 isn't divisible by 3.
C is 15966.
[tex]1+5+9+6+6=27\div3=9[/tex], so this works for 3 but let's check 8.
[tex]966\div8=120.75[/tex] so it's not divisible by 8, therefore not divisible by 24.
D is 16012.
[tex]1+6+0+1+2=10[/tex] and 10 isn't divisible by 3, so it doesn't work.
Hope this helped!
(k) 2 cos 16A + 1 = (2 cos 2A - 1).(2 cos 2A + 1).(2 cos 4A-1).(2cos 8A-1).
I need help to prove this......
Qno. k.
Answer: see proof below
Step-by-step explanation:
Use the following Double Angle identity: cos 2A = 2cos²A - 1
We are going to find one factor at a time:
2 cos16A + 1 = (2cos2A - 1)(2cos2A + 1)(2cos4A - 1)(2cos8A - 1)
↓ ↓ ↓ ↓
factor last factor 2nd factor 1st
Proof LHS → RHS:
Given: 2 cos16A + 1
let α = 8A, then 2·cos2α + 1
Identity: 2(2cos²α - 1) + 1
Distribute: 4cos²α - 2 + 1
Simplify: 4cos²α - 1
Factor: (2cosα - 1)(2cosα + 1)
Substitute: (2cos8A - 1)(2cos8A + 1)
let β = 4A, then 2·cos2β + 1
Identity: 2(2cos²β - 1) + 1
Distribute: 4cos²β - 2 + 1
Simplify: 4cos²β - 1
Factor: (2cosβ - 1)(2cosβ + 1)
Substitute: (2cos4A - 1)(2cos4A + 1)
let Ф = 4A, then 2·cos2Ф + 1
Identity: 2(2cos²Ф - 1) + 1
Distribute: 4cos²Ф - 2 + 1
Simplify: 4cos²Ф - 1
Factor: (2cosФ - 1)(2cosФ + 1)
Substitute: (2cos2A - 1)(2cos2A + 1)
(2cos2A - 1)(2cos2A + 1)(2cos4A - 1)(2cos8A - 1) = (2cos2A - 1)(2cos2A + 1)(2cos4A - 1)(2cos8A - 1) [tex]\checkmark[/tex]
Answer:Use the following Double Angle identity: cos 2A = 2cos²A - 1
We are going to find one factor at a time:
2 cos16A + 1 = (2cos2A - 1)(2cos2A + 1)(2cos4A - 1)(2cos8A - 1)
Step-by-step explanation:
Which function has a constant additive rate of change of –1/4? A coordinate plane with a straight line with a negative slope. The line passes through (negative 2, 2) and (2, 1). A coordinate plane with a curved line passing through (negative 1, 2), (0, negative 1), the minimum (2, negative 2), and (4, negative 1). A two column table with five rows. The first column, x, has the entries, 20, 21, 22, 23. The second column, y, has the entries negative 1, negative 1.5, negative 2, negative 2.5. A two column table with five rows. The first column, x, has the entries, negative 12, negative 11, negative 10, negative 9. The second column, y, has the entries, 7, 11, 14, 17.
Answer:
a) ◇G = ◇H - T◇S wiĺl be negative.
b) It will be a spontaneous reaction.
Explanation:
As ◇H is less than 0 and T◇S is greater than 0 so if we put it in the equation we would get the negative maximum result. And when the energies are with negative sign they are said to be spontaneous.
please give an answer you know is right- need answer right now!!
If g(x) = 1 - ¾ x
find: g(-12)
Answer:
g(-12) is 10
Step-by-step explanation:
[tex]g(x) = 1 - \frac{3}{4} x [/tex]
when x is -12:
[tex]g( - 12) = 1 - \frac{3}{4} ( - 12) \\ g( - 12) = 10[/tex]
[tex] \sf \: g(x) = 1 - \frac{3}{4} x \\ \sf \:g(-12) = \: ? \\ \\ \sf \: Substitute\: the \: value \: of \: x \: as \: -12 \\ \\ \sf \:1 - \frac{3}{4} (-12) \\ \sf \: = 1 - \frac{3}{4} \times -12 \\ \sf \: = 1 + 9 \\ \sf \: = \underline{\bf \: 10}[/tex]
Hope it helps.
RainbowSalt2222
An secondary school have 250 students 30% in the First grade secondary and 35% Second grade secondary.
how many students in the Third grade are there
Answer:
Third grade secondary = 87 students
Step-by-step explanation:
First grade = 30/100 x 250 = 75 students
Second grade = 35/100 x 250 = 87.5 rounded off to 88 students. Because students can't be half thus can't be in decimal. So round off to the nearest whole number.
Third grade = 250 - 88 - 75 = 87 students
Answer:
third grade secondary = 87 students
Step-by-step explanation:
:T
f(x) = x2 – x-1
What is the average rate of change of f over the interval -1 < x < 1?
Answer:
-2 < x - 1 < 0
Step-by-step explanation:
2x - × - 1 = x -1 -1 < x < 12. -2 < x - 1 < 0
i need the answer plz
Answer:
Step-by-step explanation:
The second answer choice correctly shows the result of multiplying functions m and n together.
Absolute Value – how far or the
[ Select ] Answer | Counter | Number | or distance
a number is from zero.
Answer:
The last answer or Distance a number is from zero
Step-by-step explanation:
It's this answer because absolute value is just how far a number is from zero for example | -1 | is equal to 1 because -1 is 1 away from zero. Hope this helps :)
Answer:
The last answer or Distance a number is from zero i think i dont know
Step-by-step explanation:
geometry homework, help asap please!
Answer:
I think DFG= 82 (BEING ALTERNATIVE ANGLE)
What is - 15 +6f = 5
Answer:
f = 10/3
Step-by-step explanation:
-15 + 6f = 5
-15 + 15 + 6f = 5 + 15
6f = 20
6f/6 = 20/6
f = 20/6 = 10/3 = 3.333...
Answer:
10/3
Step-by-step explanation:
-15+6f=5
6f=5-(-15)
6f=5+15
6f=20
f=20/6
simplify
f=10/3
Given: f(x) = X2 - 3 and g(x)= x+1 The composite function g.f is
a) x² + 2x - 2
b) x² + 2x
c) x² - 2
Answer:
option (c)
Step-by-step explanation:
g.f= g(f(x))
= g(x2 -3)
= (x2 -3)+1
=x2 -2
The composite function g.f is option c) x² - 2.
What are composite functions?Functions which are formed by composing two or more functions in a way that one's output is another's input are called composite functions. They are also called function of functions.
Given: f(x) = x² - 3 and g(x)= x+1
The composite of the function;
g.f= g(f(x))
= g(x²-3)
= (x² -3)+1
= x² -2
Thus, The composite function g.f is option c) x² - 2.
Learn more about function;
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PLEASE ANSWER THESE QUESTIONS WITH A HOW TO PLEASE I DONT UNDERSTAND:
1) 0.01 divided by 1000
2) 0.012 divided by 100
3) 0.000851 divided by 10
Answer:
1) 0.00001
2) 0.00012
3)0.0000851
Step-by-step explanation:
Move the decimal place the amount of times being the same as the amount of zeros. Move it to make the number smaller because you are dividing.
1) move the decimal point to the right 3 times (because there are 3 zeros in 1000)
Hope that helped!!! k
Woah woah, no need to panic! I’ve got this taken care of for you!
1. 0.01 divided by 1,000= 100,000.000
Change the divisor 0.01 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.
We then have the equations:
100000 ÷ 1 = 100,000.000
and therefore:
1,000 ÷ 0.01 = 100,000.000
Both calculated to 3 decimal places.
2. 0.012 divided by 100= 8,333.333
Change the divisor 0.012 to a whole number by moving the decimal point 3 places to the right. Then move the decimal point in the dividend the same, 3 places to the right.
We then have the equations:
100000 ÷ 12 = 8,333.333
and therefore:
100 ÷ 0.012 = 8,333.333
Both calculated to 3 decimal places.
3. 0.000851 divided by 10= 11,750.881
Change the divisor 0.000851 to a whole number by moving the decimal point 6 places to the right. Then move the decimal point in the dividend the same, 6 places to the right.
We then have the equations:
10000000 ÷ 851 = 11,750.881
and therefore:
10 ÷ 0.000851 = 11,750.881
Both calculated to 3 decimal places.
I hope this helped! <3
- ʕ•ᴥ•ʔ
Which property is shown by -6 + 0 = -6? A. Commutative Property of Addition B. Identity Property of Addition C. Distributive Property D. Associative Property of Addition
Answer:
C
Step-by-step explanation:
It is c because you are adding. the 6 and o.
Answer:
Would be C.
Step-by-step explanation:
Just adding the 6 and the 0 basically.
Jamaal spent x minutes today practicing his guitar and y minutes today on homework. If the total time he spent on both is 45 minutes or more, which inequality best represents his practice time?
x + y < 45
x + y > 45
x + y ≤ 45
x + y ≥ 45
Answer:
x + y ≥ 45
Step-by-step explanation:
This is because the total amount of minutes could be equal to 45, meaning your inequality sign has to have a line underneath it.
Additionally, x + y is greater than or equal to because the amount could be more than 45... therefore, 45 is not greater than x + y
Hi there! Hopefully this helps!
----------------------------------------------------------------------------------------------------------
If the total time he spent on both is 45 minutes or more, the answer is:
x + y ≥ 45.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hints for next time
(≥ Means greater than or equal to.)
(≤ Means less than or equal to)
(> Greater than)
(< Less than)
The table below shows the combination of a dry prepackaged mix and water to make concrete. The mix says for every 1 gallon of water stir 60 pounds of dry mix. We know that 1 gallon of water is equal to 8 pounds of water. Using the information provided in the table, complete the remaining parts of the table.
What belongs in Cell C
Answer:
c25
Step-by-step explanation:
Please help! Solve for x: -4x - 3/5 = 1/3 4x + 3/5 = 1/3 Please include a step-by-step explanation. Thank you!
Answer:
-4(-7/30)-3/5=1/3
4(-1/15)+3/5=1/3
Step-by-step explanation:
1. -4x-3/5=1/3
-4x=1/3+3/5
-4x=14/15 <- divide both sides
x= -7/30
2. 4x+3/5=1/3
4x=1/3-3/5
4x= -4/15 <-divide both sides
x= -1/15
Let f(x) = 5x + 12. Find f−1(x).
Answer:
[tex]f(x)=5x+12\\\\ f^{-1}(x):\\ y=5x+12\ \ \ |Subtract\ 12\\ y-12=5x\ \ \ |Divide\ by\ 5\\ \frac{y-12}{5}=x\\\\ f{-1}(x)=\frac{x-12}{5}[/tex]
Step-by-step explanation:
Answer:
f^-1(x) = x/5 - 12/5
Step-by-step explanation:
f(x) = 5x + 12
y = 5x + 12
x = 5y + 12
5y = x - 12
y = x/5 - 12/5
f^-1(x) = x/5 - 12/5
3(x+4)
10(b-6)
6(s-9)
7(8+y)
thank you for help
Sol:-1
[tex]\\ \sf\longmapsto 3(x+4)[/tex]
[tex]\\ \sf\longmapsto 3x+12[/tex]
Sol:-2
[tex]\\ \sf\longmapsto 10(b-6)[/tex]
[tex]\\ \sf\longmapsto 10b-60[/tex]
Sol:-3
[tex]\\ \sf\longmapsto 6(s-9)[/tex]
[tex]\\ \sf\longmapsto 6s-54[/tex]
Sol:-4
[tex]\\ \sf\longmapsto 7(8+y)[/tex]
[tex]\\ \sf\longmapsto 56+7y[/tex]
Answer:
if I understand correctly, there's are for different problems to solve, so:
3(x+4)=3x+12
10(b-6)= 10b-60
6(s-9)= 6s-54
7(8+y)= 56+7y
find the Area and perimeter. Write your answer in terms of pie.
Area of a quarter of circle
A = 1/4 * π * R²
A = 1/4 * π * 12²
A = 36 * π cm²
Perimeter of a quarter of circle
P = 1/4 * 2 * π * R²
P = 1/4 * 2 * π * 12²
P = 72 * π cm
Area of a right triangle
A = b * h / 2
A = 12 * 12 / 2
A = 72 cm²
Length of hypotenuse
L = 12√2 cm
Area of blue
A = 36 * π - 72
A = 36 * ( π - 2) cm²Perimeter of blue
P = 12 * (6 * π + √2 ) cmHope it helps
xxx
Find the value of x.
X
10
A. 52
B. 10/2
C. 512
D. 5
А
В
URGENT
[tex] \huge{ \bold{ \bigstar \: pythagoras \bigstar}}[/tex]
Pythagoras :
[tex] {10}^{2} = {x}^{2} + {x}^{2} [/tex]
[tex]100 = 2{x}^{2}[/tex]
[tex]100 \div 2 = {x}^{2} [/tex]
[tex]50 = {x}^{2} [/tex]
[tex]x = \sqrt{50} [/tex]
[tex]x = \sqrt{25 \times 2} [/tex]
[tex] \red{x = 5 \sqrt{2} }[/tex]
Answer:
Step-by-step explanation:
Compare this to a similar figure with hypotenuse √2 and leg lengths all 1.
Write and solve an equation of ratios, as follows:
x 10
------ = ------
1 √2
10√2
'then x = -------- = 5√2
2
Slim Johnson was usually the best free-throw shooter on his basketball team. Early in the
season, however, he had made only 9 of 20 shots. By the end of the season, he had made all
the additional shots he had taken, thereby ending with a season record of 3:4. How many
additional shots had he taken?
Answer:
24
Step-by-step explanation:
(9 + x)/(20 + x) = 0.75
Solve that for x, the number of additional free throws taken.
9 + x = 15 + 0.75 x
0.25 x = 6
x=24
The required number of additional shots that were shot is 24.
Given that,
He had made only 9 of 20 shots. By the end of the season, he had made all the additional shots he had taken, thereby ending with a season record of 3:4.
The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.
Here,
Let the extra shots be x,
Now, according to the question,
Number of shots will be 9 + x and 20 + x,
And their ratio is 3:4
9 + x / 20 + x = 3 / 4
[9 + x] × 4 = 3 [20 + x]
36 + 4x = 60 + 3x
x = 60 - 36
x = 24
Thus, the required number of additional shots that were shot is 24.
Learn more about Ratio here:
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Order matters in a combination.
True
False
Answer:
False
Step-by-step explanation:
So, in Mathematics we use more precise language: When the order doesn't matter, it is a Combination. When the order does matter it is a Permutation.
what fraction is equal to 75% of 1/3 ? PLZ TELL MEH PPL IM DUMB IKKKKK
Answer:
0.25 or 1/4
Step-by-step explanation:
1/3 * 75/100 = 75/300 = 1/4 = 0.25
[tex]75\%\cdot\dfrac{1}{3}=\dfrac{3}{4}\cdot\dfrac{1}{3}=\dfrac{1}{4}[/tex]
Which expression is equivalent to 4. 8 + 2. 2w - 1. 4w + 2. 4 ?
A circle has a radius of 26.85 inches. What is the circumference of this circle? Use 3.14 for pi. Round your final answer to the nearest tenth. Enter your answer as a decimal in the box. the first choose dropdown has :0.25 and 4 then is the scale factor an enlargement or not THE TRIANGLE ON THE LEFT IS 1.5 AND THERE IS AN ARROW GOING INTO A BIGGER TRIANGLE THAT IS 6
Answer:
Step-by-step explanation:
Circumference of the circle = 2 x pi x r
= 2 x 3.14 x 26.85
= 168.618 Inches
after rounding to nearest tenth, 168.6 inches
Answer:
168.6 inches
Step-by-step explanation:
The formula for finding the circumference of a circle is:
[tex]\pi r2[/tex] (Basically multiplying [tex]\pi[/tex] by the diameter since the radius is half the diameter)
Let's substitute and solve!
3.14(26.85 × 2) =
3.14 × 53.7 =
168.61800............but if we round to the nearest tenth, it will be 168.6 inches!
Hope that helps and maybe earns a brainliest!
Have a great day! > <
U
The price of one share of Disney stock declined $2.50 per days for 5 days in a row. What was the overall change in the price?
PLEASE HELP! 10 POINTS Which line would be the line of best fit for the scatter plot?
Answer:
The first one
Step-by-step explanation:
This line is the best fit for the scatter plot because it touches a lot more points than the second
Answer:
The first line
Step-by-step explanation:
Hey there!
Well the first lie is a positive slope just like the dots whereas,
the second line is a negative slope.
Therefore, the first line is the line of best fit.
Hope this helps :)