Answer:
y = 1 and y = 5
Step-by-step explanation:
[tex]( 3 y -9)^2 + 7 = 43\\\\((3y)^2 + (-9)^2 + 2(3y)(-9)) = 43 - 7\\\\(9y^2 + 81 -54y) = 36\\\\9y^2 -54y + 81 -36 = 0\\\\9y^2 -54y + 45 = 0\\\\9(y^2 -6y + 5) = 0\\\\y^2 - 6y + 5 = 0\\\\y^2 - 5y - y + 5 = 0\\\\y(y - 5) -1(y - 5 ) = 0 \\\\( y - 1 )( y - 5) = 0\\\\y = 1 \ , \ y = 5[/tex]
The values of y in the equation (3y-9)^2+7 = 43 are 1 and 5
How to solve for y?The equation is given as:
(3y-9)^2+7 = 43
Subtract 7 from both sides of the equation
(3y - 9)^2 = 36
Take the square root of both sides
3y - 9 = ±6
Add 9 to both sides
3y = 9 ± 6
Divide through by 3
y = 3 ± 2
Expand
y = (3 - 2 or 3 + 2)
Evaluate
y = 1 or 5
Hence, the values of y are 1 and 5
Read more about quadratic equations at:
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What is the area? Round to the nearest tenth
Answer:
60.8 mm^2
D
Step-by-step explanation:
Remark
You have to assume that the left and right sides are both 9.3. The question is undoable without that assumption.
Next, you have to assume that The top is 7.8 mm across and both ends meet 9.3 at right angles. Again if that is not true, the problem can't be done. Sometimes people making these questions make errors which you are asked to correct.
Solution
So let's assume that everything I've assumed is correct.
Find the area of the rectangle.
Area = L*W
L = 9.3
W = 7.8
Area = 7.8 * 9.3
Area = 72.54 Do your rounding at the end.
Now find the are of the triangle that has been cut out.
The height = 3
The base = 7.8
Area = 1/2 b * h
Area = 1/2 7.8 * 3
Area = 11.7
The area of the figure = area of the rectangle - the triangle's area
Figure Area = 72.54 - 11.7
Figure Area = 60.84
What did she do wrong ?
Answer:
She wrongly added the equations
Step-by-step explanation:
Given
[tex]-3x + y = 8[/tex]
[tex]-3x + y = -4[/tex]
Required
Her mistake
The mistake is when she added the equations.
When both equations are added, the result is:
[tex]-3x -3x + y+y=8-4[/tex]
[tex]-6x +2y=4[/tex]
and not
[tex]2y = 4[/tex]
The suggestion to avoid such mistake is for the student to check the appropriate signs of each term before adding/subtracting.
PLSSSSS HELP!!!!!!!!!!
Answer:
3x-26=2x(because they are vertical angle)
or,3x-2x=26
therefore x=26
Answer:
Step-by-step explanation:
2x + (3x-26) = 90
5x = 90+26
5x = 116
x = 116/5
x = 23.2
A cylindrical container has a diameter of 14 cm and a height of 10 cm, as
shown in the diagram. What is the volume of this container to the nearest
tenth of a cubic centimeter?*
14cm
10cm
1539.4
6157.5
490.0
219.9
Answer:
1539.4
Step-by-step explanation:
Steps:
Volume of a cylinder= πr²h
radius= diameter/2
= 14/2
= 7 cm
Volume= π x 7² x 10
= 1539.38
= 1539.4 cm³
Answer:
1539.4
Step-by-step explanation:
to find the area of a cylinder, you solve pi x radius²
3.14 x 7² = 153.94
then you multiply times the height
153.94 x 10 = 1549.4
If 30 men can complete a work in 40 days,
In how many days 15 men will complete
it?
Answer:
80
Step-by-step explanation:
djdjdjdjdjdjkkkdkjrr
Jenna just got done jumping at the Trampoline center. The total cost of the session was $15.23 She had to pay an entrance fee of $7.25 and $1.45 for every minute she was on the trampoline.
Answer: 5.5 minutes
Step-by-step explanation:
Your question is not complete but I guess they you want to calculate the number of minutes that Jenne was on the trampoline.
Let the number of minutes be represented by m.
Therefore, based in the information, we can form an equation which will be:
7.25 + (1.45 × m) = 15.23
7.25 + 1.45m = 15.23
1.45m = 15.23 - 7.25
1.45m = 7.98
m = 7.98/1.45
m = 5.50
Therefore, Jenna used 5.5 minutes
PLEASE HELP ASAP PLSSSS !!!
A bag of candy has equal numbers of candies in eight colors: blue, red,
brown, green, yellow, orange, pink, and black. If you eat them one by one,
what's the probability of getting your first red candy on or before the fifth
pick?
Answer:
the answer would be b I'm pretty sure
f(x) = -2 ( 1 - 1/4 x ) compute f( -3)
Answer:
-3 1/2 or -3.5
Step-by-step explanation:
* means multiply
just put 3 where the x is
so
f(x) = -2 ( 1 - 1/4 x )
f( -3) = -2 ( 1 - 1/4 * -3 )
f( -3) = -2 ( 1 3/4 )
f( -3) = - 3 1/2
If you take a class and have three marking periods in the class and in the first period your average grade was a 85.56 the second marking period your average was a 60.57 and then for the final marking period your average was a 63.63 what will be your overall average?
I’ll mark you as brainliest
Step-by-step explanation:
1) 6s^2
(s mean the length of each side, s=7)
= 6x7^2
= 294
2) 2(3)(2)+2(1)(2)+2(3)(1)
（l=length, w=wide, h=height)
= 12+4+6
= 22
3) 4(π)12^2
(r=radius)
= 576
Jason works as a delivery boy. He is paid daily, and the amount he is paid depends on the number of deliveries he makes. Jason’s earnings per day, in dollars, for 14 workdays are below.
thvuvugufugy i need help pls i beg
Answer:
A-10
B- -12
C-3.6
If you cant understand B is -12
if x=√10 - 2 √2 find x^2 + 1/x^2
f(x) = x ^ 2 . What is g(x) ?
Given:
The function is:
[tex]f(x)=x^2[/tex]
The graphs of functions [tex]f(x)[/tex] and [tex]g(x)[/tex].
To find:
The function [tex]g(x)[/tex].
Solution:
We have,
[tex]f(x)=x^2[/tex]
The function [tex]f(x)[/tex] is vertically compresses to get the graph of the function [tex]g(x)[/tex]. So, the function [tex]g(x)[/tex] is:
[tex]g(x)=kf(x)[/tex]
[tex]g(x)=kx^2[/tex] ...(i)
From the given graph it is clear that the graph of the function [tex]g(x)[/tex] passes through the point (3,3). So, putting [tex]x=3[/tex] and [tex]g(x)=3[/tex] in the above function, we get
[tex]3=k(3)^2[/tex]
[tex]3=9k[/tex]
[tex]\dfrac{3}{9}=k[/tex]
[tex]\dfrac{1}{3}=k[/tex]
Putting [tex]k=\dfrac{1}{3}[/tex] in (i), we get
[tex]g(x)=\dfrac{1}{3}x^2[/tex]
Therefore, the correct option is D.
Question A mountain road rises 10 feet for a 494-foot run. What is its slope? Enter a fraction. Provide your answer below:
Answer:
5/247
Step-by-step explanation:
Slope is rise over run
10/494
Simplifying by dividing top and bottom by 2
5/247
44%adults favor the use of unmanned drones by police agencies. Twelve U.S. adults are randomly selected. Find the probability that the number of U.S. adults who favor the use of unmanned drones by police agencies is (a) exactly three, (b) at least four, (c) less than eight.
Answer:
.101501615
.84982392
.901244701
Step-by-step explanation:
For this question use a binomial distribtuion
a.
12C3*.44³*(1-.44)⁹= .101501615
b.
to find at least 4 find the probability of less than 4 and take its compliment
12C0*(1-.44)¹²+12C1*.44*(1-.44)¹¹+12C2*.44²*(1-.44)¹⁰+12C3*.44³*(1-.44)⁹= .15017608
1-.15017608=.84982392
c.
To find less than eight's probability find the proability of at least 8 and take its compliment
12C8*.44⁸(1-.44)⁴+12C9*.44⁹(1-.44)³+12C10*.44¹⁰(1-.44)²+12C11*.44¹¹*(1-.44)+12C12*.44¹²= .098755299
1-.098755299= .901244701
A pool was filled with 8 .2 x10^3gallons from one hose and 9 .4x 10^3 gallons from another hose. What is the total amount of water in the pool? Express the answer in scientific notation. O 176x102 gallons 176x102 gallons 17.6 x 10 gallons 1.76x104 gallons
Answer:
1.76x10^4 gallons
Step-by-step explanation:
total amount in the pool = gallon from first hose + gallon from second hose
(8.2 + 9.4) 10^3
(17.6)10^3
(1.76 x 10^1)10^3
1.76 x 10^3+ 1 = 1.76x10^4 gallons
Write equation for the line that is perpendicular to the y axis and passing through (5,1)
Answer:
Step-by-step explanation:
A line perpendicular to the y-axis, which is vertical, is a line that is horizontal. Perfectly horizontal lines always have a slope of 0. Thus, the equation of the line perpendicular to the one given and passing through the given point (5, 1) is
y - 1 = 0(x - 5) and
y - 1 = 0x - 0 and
y - 1 = 0 so
y = 1 is the equation you're looking for.
the product of n and 6 divided by 4 in algebraic expression
Answer:
[tex]6n \div 4[/tex]
Step-by-step explanation:
n is a variable and multiplied by 6, so it is attached to 6. (6 is known as the coefficient.) Then it is divided by 4. (4 is known as the constant because there is no variable attached to it.)
[tex]6n \div 4[/tex]
which linear inequality is represented by the graph
Answer:
y< -2x + 3
Step-by-step explanation:
Good luck with your questions :)
The sum of the measures of angle LMN and angle NMP is 180 degrees
The sum of the measures of angle LMN and angle NMP is 180 degrees. The measure of ∠LMN is 153°.
What is the angle?In Euclidean geometry, an angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively.
L, m n is a straight angle, and we want to find the measure of angle, l, m, p, and m p, and since we are told that l m n is a straight angle.
∠LMN + ∠NMP = 180°
The straight line is 180°
180 - 18 = 162
162 = 18g
g = 9
Hence, ∠LMN = (15 x 9 + 18)° = 153°
Therefore, the measure of ∠LMN is 153°.
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Match each expression with its equivalent expression.
a. √4x^2y^4
b. √8x^2y
c. √4x^2y
c. √16xy^2
d. √8xy^2
1. 2x√y
2. 2y√2x
3. 2xy^2
4. 2x√2y
5. 4y√x
Answer:
a -> 3
b -> 4
c -> 1
d -> 5
e -> 2
Step-by-step explanation:
We apply the properties to solve this question.
a. √4x^2y^4
[tex]\sqrt{4x^2y^4} = \sqrt{4}\sqrt{x^2}\sqrt{y^4} = 2xy^2[/tex]
So a -> 3
b. √8x^2y
[tex]\sqrt{8x^2y} = \sqrt{8}\sqrt{x^2}\sqrt{y} = \sqrt{4*2}x\sqrt{y} = \sqrt{4}\sqrt{2}x\sqrt{y} = 2x\sqrt{2}\sqrt{y} = 2x\sqrt{2y}[/tex]
So b -> 4
c. √4x^2y
[tex]\sqrt{4x^2y} = \sqrt{4}\sqrt{x^2}\sqrt{y} = 2x\sqrt{y}[/tex]
So c -> 1
d. √16xy^2
[tex]\sqrt{16xy^2} = \sqrt{16}\sqrt{x}\sqrt{y^2} = 4\sqrt{x}y = 4y\sqrt{x}[/tex]
So d -> 5
e. √8xy^2
[tex]\sqrt{8xy^2} = \sqrt{8}\sqrt{x}\sqrt{y^2} = \sqrt{4*2}\sqrt{x}y = \sqrt{4}\sqrt{2}\sqrt{x}y = 2y\sqrt{2}\sqrt{x} = 2y\sqrt{2x}[/tex]
So e -> 2
Please help asap!!! Will give brainleist for the right answer
Answer:
I think the answer is 1,032 pounds
Step-by-step explanation:
You would have to multiply the dimensions of the table first:
8*3*1=24.
Then you would multiply that by 43.
24*43=1,032.
I THINK this is the answer.
There were toy cars,dolls and teddy bears in a shop. 30% of the toys were toy cars. The ratio of the number of dolls to the number of teddy bears were 4:1 . There were 156 more dolls than you cars. After some toy cars were sold, 16% of the remaining toys in the shop was toy cars. How many toy cars were left in the shop?
Answer:
80 toy cars were left in the shop.
Step-by-step explanation:
Since there were toy cars, dolls and teddy bears in a shop, and 30% of the toys were toy cars, and the ratio of the number of dolls to the number of teddy bears were 4: 1, and there were 156 more dolls than toy cars, and after some toy cars were sold, 16% of the remaining toys in the shop were toy cars, to determine how many toy cars were left in the shop the following calculation must be performed:
Toy cars = 30%
Dolls and teddy bears = 70%
70/5 = 14 x 4 = 56
Dolls = 56%
Teddy bears = 14%
56 - 30 = 26
156/26 = 6 (1%)
Toy cars = 30 x 6 = 180
Dolls = 56 x 6 = 336
Teddy bears = 84
100 - 16 = 84
84 = 336 + 84 = 420
16 = X
84 = 420
16 = X
16 x 420/84 = X
80 = X
Therefore, 80 toy cars were left in the shop.
Contains the origin and is parallel to the line 8x − 3y = 3
Answer:
y=(8/3)x
Step-by-step explanation:
First, we make 8x-3y=3 into the form y=mx+b
3y=8x-3
y=(8/3)x-1
For an equation to be parallel to this equation, the slope must be the same, so the new equation will be:
y=(8/3)x+b
We know that (0,0) is a point in this line. We plug (0,0) into the equation to find b:
0=(8/3)*0+b
b=0
y=(8/3)x
Using Venn diagrams, determine whether the arguments below are valid or invalid. (a) All professional athletes are rich. All rock stars are rich. Therefore, some rock stars are professional athletes.
valid? invalid?
(b) All bunnies are skittish. Some skittish animals have fur. All cows have fur. Therefore, cows are skittish animals. O valid O invalid
(C) All squares are rectangles. Some quadrilaterals are squares. Therefore, some quadrilaterals are rectangles. O valid o O invalid
d) All rectangles are quadrilaterals. All quadrilaterals are polygons. Therefore, all rectangles are polygons. O valid O invalid
Answer:
a. invalid
b. invalid
c. valid
d. valid
A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the second row, 23 in thethird row. How many seats are there in total? Show explain all work.
Answer:
There are 54 in total because if you add them all it gets you 54
Will Mark Brainlest!!!!!! pls helppo meee
Answer:
Step-by-step explanation:
11. Find the sum of the arithmetic series. overset [22] underset{k=1}\huge{Sigma) (-4k - 13) =
Answer:
okay, we need to add up for all k=1 till k=22
we could do it like this
(-4*1 -13) + (-4*2 -13) + (-4*3 -13) + ...
but this is long and boring, so we need another valid, yet vastly faster method to calculate this sum
we know that the "-13" part will occur 22 times, so let's write this component as "-13*22"
the -4k gents bigger with each step, k will take all the natural numbers from 1 to 22
so we could write
"-4 * (1+2+3+4+5+6+7...+21+22l
alot simpler and faster, but not fast enough
let's add up all numbers from 1 to 22 into one number
1 + 22 = 23
2 + 21 = 23
3 + 20 = 23
...
this works eleven times (bc we use up 2 numbers in each step), so the numbers from 1 to 22 added up are just
23*11= 230+23 = 252
now let's construct the final calculation
-4 * 252 -13*22 = -1294
there's your sum.
hope it helps you overall.
brainliest would be very kind ic some else leaves an answer, may it be just a greeting