Answer:
X = 13
Step-by-step explanation:
42 - X = 29
Subtract 42 from each side
42-42 - X = 29-42
-X = -13
Multiply each side by -1
X = 13
A right cylinder-shaped water ta is used to supply water to a reservoir. If the cylinder has a diameter of 16 feet and a height of 22 feet, what is a reasonable estimate of the maximum amount og water the tank can hold
Answer:
The tank can hold 4423.36 feet³ of water.
Step-by-step explanation:
Given that,
Height = 22 feet
Diameter = 16 feet
We need to calculate the maximum amount of water
Using formula of volume
[tex]V=\pi r^2h[/tex]
Where, h = height of cylinder
r = radius of cylinder
Put the value into the formula
[tex]V=\pi\times(8)^2\times 22[/tex]
[tex]V= 4423.36\ feet^3[/tex]
Hence, The tank can hold 4423.36 feet³ of water.
S/1.5 = 0.8 pls answer ASAP and show how to correct
Answer:
1.2
Step-by-step explanation:
[tex]s/1.5 = .8\\s = 1.5 * .8\\s = 1.5 *4/5\\s = 6 /5\\s=1.2[/tex]
r=35.7+1.37t The equation above relates the urbanization rate r, as a percent, in a particular country to the number of years t since 2000. Which of the following statements best describes the relationship between the years since 2000 and the urbanization rate? A It is linear because the urbanization rate increases by 35.7 each year. B It is linear because the urbanization rate increases by 1.37 each year. C It is exponential because the urbanization rate increases by 37% each year. D It is exponential because the urbanization rate increases by a factor of 35.7 each year.
Answer: 37.07
because 35.7+1.37 is 37.07
Find the sum of first 20 terms of the arithmetic series in which 3rd term is 7 and 7th term is 2 more than three times its 3rd term.
Answer:
740
Step-by-step explanation:
Let the AP be a, a+d, a+2d, a+3d, ...
The term of AP is given by:
[tex]t n =a+(n-1)d[/tex]
We are given that the third term is 7.
[tex]t 3=7[/tex]
⇒ [tex]a+(3-1)d=7[/tex]
⇒[tex]a+2d=7 ---(1)[/tex]
Also, the seventh term is 2 more than three times the third term.
[tex]t7=3t3+2[/tex]
⇒[tex]a+ (7-1)d=3(a+(3-1)d)+2[/tex]
⇒[tex]a+6d=3(a+2d)+2[/tex]
⇒[tex]a+6d=3a+6d+2[/tex]
⇒[tex]-2a=2[/tex]
⇒[tex]a=-1[/tex]
We can put it in (1)
[tex]a+2d=7[/tex]
⇒[tex](-1)+2d=7[/tex]
⇒[tex]2d=8[/tex]
⇒d=4
Now, the Sum of n terms of an AP is given by the formula:
[tex]sn=\frac{n}{2}(2a+(n-1)d)[/tex]
So, Sum of first 20 terms would be:
[tex]s 20=\frac{20}{2}(2(-1) +(20-1) x 4)[/tex]
⇒[tex]s20=10(-2+19 x 4)[/tex]
⇒[tex]s 20=10 x(-2+76)[/tex]
⇒[tex]s 20= 10 x 74[/tex]
⇒[tex]s 20=740[/tex]
Thus, The Sum of first 20 terms of the AP is 740.
Look at the Screenshot for the question.
Answer:
2
Step-by-step explanation:
Jim is paid for overtime when he works more than 40 hours per week.Enter an expression for the number of hours he works overtime when he works h hours.
Answer:
Overtime hours = [h - 40] hours
Step-by-step explanation:
Given:
Weekly hour work = 40 hours per week
Total hour work = h hours
Find:
Overtime hours
Computation:
Overtime hours = Total hour work - Weekly hour work
Overtime hours = [h - 40] hours
6x(2)y +8xy(2) - 10x(2)y - 15xy + 9xy(2) simplify
Answer:
-4x²y + 17xy² - 15xy
Step-by-step explanation:
Step 1: Write out expression
6x²y + 8xy² - 10x²y - 15xy + 9xy²
Step 2: Combine like terms (x²y)
-4x²y + 8xy² - 15xy + 9xy²
Step 3: Combine like terms (xy²)
-4x²y + 17xy² - 15xy
why isn’t -3/5 a integer? answer asap please
Answer:
integers contain 0, all negative and +ve whole number!!
Since -3/5 is not a whole number so not an integer!
Step-by-step explanation:
23) The Dinner Plate
7.G.B.4
A dinner plate has a
diameter of approximately
13 inches. What is the
circumference of the
dinner plate? What is the
area of the dinner plate?
Use 3.14 for pi. Draw a
picture of a dinner plate
and label the dimensions
(radius and diameter).
Write the circumference
and area on your drawing.
Answer:
circumference is 40.84 and the area is 132.73
Step-by-step explanation:
How do you solve this question: what is the difference between (2,5) and (2,0) without using a coordinate plan graph?
Answer: (2,5) is 5 units above (2, 0)
Step-by-step explanation: The first point has a 5 in the y-axis (up and down) while the second point is on the x-axis
The graph of f(x) is the solid black graph below. Which function represents the
dotted graph?
4
6
y = f(2 + 1) + 4
y = f(x - 1) - 4
Submit Answer
y=f(x - 1) + 4
y = f(x + 1) - 4
Using translation concepts, it is found that the dotted graph is given by:
f(x - 1) - 4
------------------
For function f(x), the solid line, it has a zero at x = -1, while the dashed line has a zero at x = 0, which means that it was moved 1 unit to the right, thus f(x - 1).The dashed line is also below the function f(x), so 4 was subtracted, thus f(x - 1) - 4.A similar problem is given at https://brainly.com/question/18405655
3(y+6)+5(2–4y)
Combining like terms
Answer:
[tex]28-17y[/tex]
Step-by-step explanation:
[tex]3(y+6)+5(2-4y)[/tex]
Expanding:
[tex]3y+18+10-20y[/tex]
[tex]28-17y[/tex]
Answer:
-17y+18
Step-by-step explanation:
[tex]3(y+6)+5(2-4y)\\= (3*y + 3*6) + (5*2 - 5*4y)\\= 3y + 18 + 10 - 20y\\= -20y + 3y +18 +10\\=-17y+28[/tex]
Write an expression to represent a circle's area in terms of its diameter, d .
Answer:
(d/2)^2 pi
Step-by-step explanation:
To find the area of a circle the formula is A=pi times radius sqaured. Since we do not have the radius we need to find it. The radius will always be half the diameter hence the (d/2). This will give us the radius, next is just to complete the area formula by squaring the radius and multiplying it by pi. i hope this helps :)
The circle's area, in function of it's diameter, is given by:
[tex]A = \frac{\pi d^2}{4}[/tex]
----------------------
The area of a circle, in function of it's radius r, is given by:[tex]A = \pi r^2[/tex]
The radius is half the diameter, thus: [tex]r = \frac{d}{2}[/tex]Replacing [tex]r = \frac{d}{2}[/tex] into the formula for the area, it is possible to find the area as a function of the diameter. Thus:[tex]A = \pi r^2[/tex]
[tex]A = \pi (\frac{d}{2})^2[/tex]
[tex]A = \pi \frac{d^2}{4}[/tex]
[tex]A = \frac{\pi d^2}{4}[/tex]
Which is the area of a circle of diameter d.
A similar problem is given at https://brainly.com/question/16891462
Evaluate5− t/3 when t=12
Answer:
[tex]1[/tex]
Step-by-step explanation:
[tex]5 - \frac{t}{3} = \frac{5}{1} - \frac{12}{3} = 5 - 4 = 1[/tex]
or
[tex]5 - \frac{t}{3} = \frac{5}{1} - \frac{12}{3} = \frac{15 - 12}{3} = \frac{3}{3} = 1 [/tex]
Hope this helps ;) ❤❤❤
What is the sum of 4.3+4.16
Answer:
8.46
Step-by-step explanation:
Answer:
8.46
Step-by-step explanation:
6+0 =6
3+1=4
4+4=8
No carryovers
Points A and B have the coordinates shown below.
Estimate the length of AB to the nearest tenth of a unit.
A= (-4,7)
B= (-12, -10)
AB = units
Answer:
Distance AB is 18.79 units
Step-by-step explanation:
Given two points with coordinates as:
A= (-4,7)
B= (-12, -10)
To find:
Distance AB = ?
Solution:
To find the distance between two points with given coordinates, we can use Distance formula.
Distance formula is given as:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are the two coordinates whose distance is to be find out.
[tex]x_1 = -4\\y_1 = 7\\x_2 = -12\\y_2 = -10[/tex]
[tex]AB = \sqrt{(-12-(-4))^2+(-10-7)^2}\\\Rightarrow AB = \sqrt{(-8)^2+(-17)^2}\\\Rightarrow AB = \sqrt{64+289}\\\Rightarrow AB = \sqrt{353}\\\Rightarrow \bold{AB = 18.79\ units }[/tex]
Distance AB is 18.79 units
Answer:
AB = 18.8 units
Step-by-step explanation:
If there are two points (x1,y1) and (x2,y2) on the coordinate plane.
distance between those two points = [tex]\sqrt{(x1-x2)^{2} + (y1-y2)^{2} }[/tex]
given points are
A= (-4,7)
B= (-12, -10)
[tex]AB = \sqrt{(-4 -(-12))^{2} + (7-(-10))^{2} }\\AB = \sqrt{(-4 +12)^{2} + (7+10)^{2} }\\AB = \sqrt{(8)^{2} + (17)^{2} }\\AB = \sqrt{64 + 289 }\\AB = \sqrt{353 }\\AB = 18.79[/tex]
Thus, length of AB is 18.79 units
since, value of hudredth of unit is 9 which is greater than 9 then rounding the value to nearest tenth of unit we increase the value at tenth of unit place by that is 7 becomes 8
length of AB to the nearest tenth of a unit is 18.9 units
Simplify 7√300
With work
Answer:
70 [tex]\sqrt{3}[/tex]
Step-by-step explanation:
300
6 50
| \ | \
2 3 5 10
| \
5 2
2×5=10
10×7=70
70[tex]\sqrt{3}[/tex]
Answer:
70√3
Step-by-step explanation:
7√300 =
7√100*3
7√10*10*3 (√100=√10²=10)
7*10√3
70√3
A work shift for an employee at a restaurant consists of 8 hours. What fraction of the employee's work shift is represented by 6 hours? (Simplify your answer.)
Answer:
6 hours represents [tex]\frac{3}{4}[/tex] of the 8-h work shift.
Step-by-step explanation:
The fraction of the employee's work shift is equal to the given time divided by the work shift. That is:
[tex]x = \frac{6\,h}{8\,h}[/tex]
[tex]x = \frac{6}{8}[/tex]
[tex]x = \frac{3}{4}[/tex]
6 hours represents [tex]\frac{3}{4}[/tex] of the 8-h work shift.
What’s the output of f(x)=-3/2x+2
Answer:
Step-by-step explanation:
–6x + 15 < 10 – 5x clnwovneineuvnepveo
x > 5
x ∈ [ 5 ; + oo )
Step-by-step explanation:–6x + 15 < 10 – 5x
15 - 10 < 6x - 5x
5 < x
x > 5
x ∈ [ 5 ; + oo )
Answer: x>5
Step-by-step explanation:
Given
-6x+15<10-5x
Add 6x on both sides (Addition property of equality)
-6x+15+6x<10-5x+6x
15<10+x
Subtract 10 on both sides (Subtraction property of equality)
15-10<10+x-10
5<x
x>5
Hope this helps!! :)
Please let me know if you have any question
can yall help me solve this (3b^3 + 2b^2 + 4b +5) +(9b+9) example this is 3b to the power of 3 just saying (if that even made any sense) BUT PLZ HELPPPP
3b^3+2b^2+13b+14
Just add like terms
If u have any questions just ask
Jan is x years old, her sister is twice as old as her, and her brother is three times older than her. Their ages add up to 29. How old is each sister?
Jan's age = [tex] 4\frac{5}{6}[/tex] years
Sister's age =[tex] 9\frac{2}{3} \: years[/tex]
Step-by-step explanation:
Jan's age = x years
Sister's age = 2x years
Brother's age = 3x years
According to the given condition:
x + 2x + 3x = 29
6x = 29
x = 29/6
x = [tex] 4\frac{5}{6}[/tex] years
2x = [tex] 2\times \frac{29}{6}= \frac{29}{3}=9\frac{2}{3} \: years[/tex]
Therefore,
Jan's age = [tex] 4\frac{5}{6}[/tex] years
Sister's age =[tex] 9\frac{2}{3} \: years[/tex]
Can someone please help me
This isn't an answer, rather a suggestion.
I would use the website desmos to help you out. But it won't help you forever like when you do quizzes or tests.
Directions:
Make the variable "y" all by itself. It need to be solo. For example for problem 34, negate 3 on each side and you will have "y=1/2(x+2)+3".
From there, plug in numbers into the x variable. (I suggest using common factors of "2" since the number your multiplying is 1/2.
Again using 34,
y=1/2(x+2)+3
y=1/2(2+2)+3
y=1/2(2+2)+3
y=1/2(4)+3
y=2+3
y=5
The coordinates are (2,5). Plot the coordinate.
Repeat the process.
Hank invested a total of $20,000, part at 7% and part at 10%. How much did he invest at each rate if the total interest earned in one year was $1640?
Answer:
The amount invested at 7% is $12,000 while the amount invested at 10% is $8,000
Step-by-step explanation:
The given parameters are;
The total amount Hank invested = $20,000
The interest earned in one year = $1640
Hank invested part of the $20,000 at 7% interest and part of the $20,000 at 10%
Let the part invested at 7% = X and the part invested at 10% = Y, we have;
7% of X + 10% of Y = $1640 which gives;
0.07×X + 0.1×Y = $1640.....................(1)
X + Y = $20,000.................................(2)
Multiply equation (1) by 10 and subtract equation (1) from equation (2) to get;
X + Y - 10×(0.07×X + 0.1×Y) = $20,000 - 10×$1640
X - 0.7·X - Y - Y = $20,000 - $16,400 = $3,600
0.3·X = $3,600
X = $3,600/0.3 = $12,000
X = $12,000
Y = $20,000 - X = $20,000 - $12,000 = $8,000
Y = $8,000
Therefore, the amount invested at 7% = $12,000 and the amount invested at 10% = $8,000.
Answer:
$8,000 at 10%
$12,000 at 7%
Step-by-step explanation:
Let the part invested at 10% = x
Let the part invested at 7% = $20,000 - x
7% = 0.07
10% = 0.10
Hank invested a total of $20,000, part at 7%
0.07(20000 - x)
And part at 10%
0.10(x)
Hence, we have:
0.10x + 0.07(20000 - x) = 1640
0.10x + 1400 - 0.07x = 1640
0.10x - 0.07x = 1640 - 1400
0.03x = 240
x = 240/0.03
x = 8000
Hence, the amount he invested at 10% = $8,000
The amount he invested at 7% =
$20,000 - x
= $20,000 - $8,000
= $12,000
what does (316)(18) mean?
Answer:
It means multiply the 2 numbers.
Step-by-step explanation:
(316)(18) means 316 * 18
= 5688.
The outcome of the given expression is 5724
The given expression:
(316)(18)
To find:
the outcome of the expression:
The outcome of the given expression is obtained by multiplying them out.
[tex](318)(18) = 318 \times 18 = 10(318) + 8(318) = 3180 + 2544 = 5724[/tex]
Thus, the outcome of the given expression is 5724
Learn more here: https://brainly.com/question/16787713
A rational number is any number that can be expressed as a
a)negative number
b)fraction
c)square root
d)integer
Answer:
Hey there!
A rational number is any number that can be expressed as a fraction.
Hope this helps :)
Answer:
D.
Step-by-step explanation:
A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever). A rational number comes to an end at some point, even if the end is long, it will eventually stop.
Which of the following number(s) are rational? Select all that apply.
2.323232...
2.32222...
2.323148...
-2.3
-2.3
Answer:
2.323232…
2.32222…
-2.3
Negative 2.ModifyingAbove 3 with bar
Step-by-step explanation:
-2.3 is the rational number among the given options.
What is Number system?A number system is defined as a system of writing to express numbers.
Rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.
Any decimal number can be either a rational number or an irrational number, depending upon the number of digits and repetition of the digits.
Any decimal number whose terms are terminating or non-terminating but repeating then it is a rational number
In the given decimal numbers 2.323232..., 2.32222... 2.323148... and -2.3.
The first three decimal numbers are irrational because it is not terminating and -2.3 is rational.
Hence, -2.3 is the rational number among the given options.
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ2
Smith and Simon are playing a card game. Smith will 5
win if the drawn card form the deck of 52 is either 7
or a diamond, and Simon will win if the drawn card is
an even number. Who has the higher chance of
winning? Explain why, using details. *
Answer: Simon has a higher chance of winning
Step-by-step explanation: The possibility of Smith winning is 16/52 and the possibility of Simon pulling an even card is 20/52.
(20/52 is more than 16/52)
Answer:
Simon has a higher chance of winning
Step-by-step explanation:
Use expressions for even integers to show that the product of two even integers is an even integer.
Answer:
Step-by-step explanation:
The product of two even numbers is even.
Let m and n be any integers so that 2a and 2b are two even numbers.
The product is 2a(2b) = 2(2ab), which is even.
Inverse function f(x)= -3/5x -3
Answer:
f(x)⁻¹ = -5/3x - 5
Step-by-step explanation:
y = -3/5x - 3
x = -3/5y - 3
x + 3 = -3/5y
(x + 3)(-5/3) = y
-5/3x - 5 = y