Step-by-step explanation:
4x−5y=6
−8x+10y=−12
Isolate x for 4x –5y = 6: x=6-5y/4
Substitute x= 6+5y/4
[-8 (6-5y/4) +10y=-12]
Simplify
[-12= -12 ]
The solutions to the system of equations are:
x=6+5y/4
The area formula for rectangular shapes is A=LW. What is the area of a rectangular shape with the dimensions of [tex]\sqrt[4]{11}[/tex] and [tex]\sqrt[4]{3}[/tex]?
Hi!
Given the area formula ~ A = LW
We need to multiply the two values:
[tex]\sqrt[4]{11} * \sqrt[4]{3}[/tex]
Since they have the same root, 4, we can multiply what's inside of the radical and give it the same root.
[tex]11*3=33[/tex]
Now, we apply the same root as before:
[tex]\sqrt[4]{33}[/tex]
Therefore, your answer is [tex]\sqrt[4]{33}[/tex]
Now, if you need that as a numerical value rather than a radical, it's roughly [tex]2.397[/tex]
Answer:
[tex]\textsf{area}=\sqrt[4]{33}\:\textsf{square units}[/tex]
Step-by-step explanation:
Formula
Area of a rectangle = length × width
Given:
[tex]\textsf{length}=\sqrt[4]{11}[/tex][tex]\textsf{width}=\sqrt[4]{3}[/tex]Substitute given values into the formula:
[tex]\implies \textsf{area}=\sqrt[4]{11} \cdot \sqrt[4]{3}[/tex]
[tex]\textsf{Apply radical rule}\quad\sqrt[n]{a} \cdot \sqrt[n]{b}=\sqrt[n]{ab}:[/tex]
[tex]\implies \textsf{area}=\sqrt[4]{11 \cdot 3} =\sqrt[4]{33}\:\textsf{square units}[/tex]
Identify the series of transformation that will move figure A to the new location of figure B.
Answer:
translate down 6 units and left 3 units
PLS HELP ME WITH THIS!!!
Answer:PLS HELP ME WITH THIS!!!
PLS HELP ME WITH THIS!!!
Step-by-step explanation:PLS HELP ME WITH THIS!!!
is your correct answer
In a certain board game, a player who lands on the Double Spin
space earns two spins of the pointer shown. This player is
awarded a free turn if the pointer lands in the red section both
times. What is the probability that a player who lands on the
Double Spin space will win a free turn?
I
Red
Green
Blue
Make a table to describe the possible outcomes.
a
.
Red (R)
Green (G)
R, G
.
RR
Blue (B)
R, B
GB
BB
Red (R)
Green (G)
Blue (B)
There are 9 possible outcomes.
Each outcome is equally likely.
The one favorable outcome is
circled.
.
GR
G, G
B, G
BR
The probability that a player will win a free turn is P(R, R) = 5.
9.
Joachim, a third student, noted that the confidence interval in part (a) gives plausible values of the parameter as an interval between two values. He suggested that they develop a one-sided confidence interval because they were only concerned with whether the number 6 was landing face up more often than expected, not less often. The one sided-interval will determine a value L such that all plausible values of p are greater than L.
Answer:
Kindly check explanation
Step-by-step explanation:
pˆ = 43 / 200 = 0.215
A.)
The confidence interval obtained :
0.215 ± 0.057 = (0.158 ; 0.272)
Since, 0.215 is within the confidence interval, we can conclude that, dice will lie face up on baked die more often than fair dice.
B.)
H0:p=16 versus Ha:p>16
Decision :
Reject H0 ; if Pvalue < α
Pvalue = 0.033 ; α = 0.05
0.033 < 0.05 ; we reject H0
HENCE, there is significant evidence to conclude that the proportion of face landing up on a baked dice is greater than 16. HENCE, it agrees with our conclusion in (1).
C.)
L=pˆ+z∗√pˆ(1−pˆ)n
Z critical for a one sided 95% confidence interval is 1.64
pˆ = 0.215
L = 0.215 + 1.64 * √(0.215*0.785) / 200
L = 0.215 + (1.64 * 0.1299134)
L = 0.215 + 0.213057976
L = 0.428
(-∞, 0.428)
Find the sum of all multiples of 7 from 7 to 126, inclusive.
What is the absolute deviation of 4 in this data set?
{6, 22, 14, 9, 11, 4}
O 2
03
O 7
O 11
Answer:
7
Step-by-step explanation:
I took the k12 quiz
a bottle of ketchup as a net weight of 22 ounces. a serving size is 1/2 ounce. how many servings are in the bottle?
Answer:
44 servings are in the bottle
Answer:
44
Step-by-step explanation:
One trick for dividing fractions is:
1. Keep the first fraction. 22/1 divided by 1/2
2. Change division into multiplication. 22/1 times 1/2
3. Flip the second fraction. 22/1 times 2/1
22*2 is 44
1*1 is 1
The final answer should be 44/1
i need help pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
[tex]83[/tex]
Step-by-step explanation:
[tex]5 - (18 \div 6) + (2 + 7)^{2} [/tex]
Divide the numbers ⬇
18 ÷ 3= 3[tex]5 - 3 + (2 + 7)^{2} [/tex]
Add the numbers ⬇
2 + 7= 9[tex]5 - 3 + 9 ^{2} [/tex]
Evaluate the power ⬇
9² = 81[tex]5 - 3 + 81[/tex]
Calculate the sum or difference ⬇
[tex]5 - 3 + 81 = 83[/tex]
Hope this helps!! :)
Add. write your answer in simplest form.
-4 _/135 + 7 _/15
[tex] \huge\quad\qquad\underline{{\sf Answer}}[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: - 4 \sqrt{135} + 7 \sqrt{15} [/tex]
[tex]\qquad \tt \dashrightarrow \: - 4 \sqrt{5 \times3 \times 3 \times 3} + 7 \sqrt{15} [/tex]
[tex]\qquad \tt \dashrightarrow \:( - 4 \times 3) \sqrt{5 \times 3} + 7 \sqrt{15} [/tex]
[tex]\qquad \tt \dashrightarrow \: - 12 \sqrt{15 } + 7 \sqrt{15} [/tex]
[tex]\qquad \tt \dashrightarrow \: - 5 \sqrt{15} [/tex]
on the map, 2 cm equals 1 km. what is the actual length of a street that is 10 cm long on the map?
Answer: 5km
Step-by-step explanation: 2cm=1 km
10cm divided by 2 is 5km
In circle D with m \angle CDE= 60m∠CDE=60 and CD=15CD=15 units, find the length of arc CE. Round to the nearest hundredth.
Answer:
Length of arc CE = 3.14 unit (Approx.)
Step-by-step explanation:
Given:
Radius of circle = 3 units
Angle between radius = 60°
Find:
Length of arc CE
Computation:
Length of arc = [θ/360][2πr]
Length of arc CE = [60/360][2(2/7)(3)]
Length of arc CE = [60/360][2(3.14)(3)]
Length of arc CE = [1/6][6(3.14)]
Length of arc CE = 3.14 unit (Approx.)
A police officer recorded the speeds of the first six cars whose drivers he ticketed for speeding today.
Car Speed
(miles per hour)
1 67
2 74
3 85
4 80
5 74
6 82
What is the mean of the cars' speeds?
Answer:
The mean is 77.
Step-by-step explanation:
Step one: add all the numbers
Step two: Divide the sum by the number of values you added
(example: 1,5,8,12,13. You would add them together, since we have 5 numbers, we will divide the sum by 5, then we have the mean)
462 divided by 6 is 77
Hope this helps!
50 points each question. Please help. How do I solve?
[tex]~~~~~~\tan^{-1}(xy) = \sin^{-1}(4x+4y)\\\\\\\implies \dfrac d{dx} \left[ \tan^{-1}(xy)\right] = \dfrac d{dx} \sin^{-1}\left( 4x+4y\right)\\ \\\\\implies \dfrac{1}{1+(xy)^2} \left[ \dfrac{d}{dx} (xy)\right] = \dfrac{1}{\sqrt{1-(4x+4y)^2}} \cdot \dfrac{d}{dx}(4x+4y)\\\\\\\implies \dfrac{1}{1+x^2 y^2} \left(x\dfrac{dy}{dx}+y \right)=\dfrac{1}{\sqrt{1-(4x+4y)^2}} \left(4+ 4 \dfrac{dy}{dx} \right)\\\\\\\\[/tex]
[tex]\implies \left(\dfrac{x}{1+x^2y^2} \right) \dfrac{dy}{dx} + \dfrac{y}{1+x^2y^2}=\dfrac{1}{\sqrt{1-(4x+4y)^2}} \left(4+ 4 \dfrac{dy}{dx} \right)\\[/tex]
[tex]\\\\\implies 0 \cdot \dfrac{dy}{dx} +0 = \dfrac{1}{\sqrt{1 -0}} \left(4+4 \dfrac{dy}{dx} \right) ~~~~~~~~~;\left[ \text{at}~~ (0,0) \right]\\\\\\\implies 4+4 \dfrac{dy}{dx} = 0\\\\\\\implies \dfrac{dy}{dx} = -\dfrac 44\\\\\\\implies \dfrac{dy}{dx} = -1\\\\\text{So, the slope of the tangent line at (0,0) is}~ -1\\ \\\\\text{The equation of tangent line,}\\\\~~~~~~y-0 = -1(x-0)\\\\\implies y=-x[/tex]
a gate keeper earns 31,000 naira per month. he gets 1000 naira of his income as tax free. if he pays tax at the rate of 6 kobo per naira, how much is his monthly salary after paying his income tax?
Answer:
28,200 naira would be his income after he paid 1800 to taxes
Step-by-step explanation:
First, let's use the information to find out how much he got taxes on.
We should deduct 1000 naira from his monthly income because it is not taxed leaving 30,000 of taxable income
Then multiply his income by the percentage of tax he receives which is .06
30,000 x .06 = 1800
Then subtract money that is taxed by his income
30,000 - 1800 = 28,2000
What is Limit of j (x) as x approaches 3?
Answer:
lim x - 3 + f ( x ) - As 3 approaches 3 from the right, the value of f ( x ) approaches 0. lim x - 3 f ( x ) - Since the value of f ( x ) as x approaches 3 from the left does not equal the value as x approaches 3 from the right, this limit does not exist.
Please Help Find the volume
Answer:
0.065 units ³
Step-by-step explanation:
Volume of sphere = 4/3 π r³
=> 4/3 × 22/7 × 1/4 × 1/4 × 1/4
=> 0.065 units³
Answer:
[tex]\frac{1}{48}[/tex] π units³
Step-by-step explanation:
the volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex] πr³ ( r is the radius ) , then
V = [tex]\frac{4}{3}[/tex] π × ( [tex]\frac{1}{4}[/tex] )³
= [tex]\frac{4}{3}[/tex] π × [tex]\frac{1}{64}[/tex] ( cancel 4 and 64 on numerator/ denominator by 4 )
= [tex]\frac{1}{3}[/tex] π × [tex]\frac{1}{16}[/tex]
= [tex]\frac{1}{48}[/tex] π units³
Find the area of the shape.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
Answer:
Therefore, area is 50.24
Step-by-step explanation:
⇒ Area = [tex] \sf \pi {r}^2 [/tex]
Radius = 4
⇒Area = 3.14 × 4²
⇒Area = 50.24
The answer:= 12π
I got this on khan academy.
600kg is divided between misal and pratick so that misal gets 3/5 of the amount. How much does prayick get?
Answer:
240
Step-by-step explanation:
Misel: 600kg*3/5=360
Patrick: 600-360=240
Dee Wallace's salary was $61,000 in 2006 and increased to $64,300 in 2009.
What was the annual rate of change in his salary?
Answer:
$1,100
Step-by-step Explanation:
Dee Wallace's salary in 2006 = $61,000 Dee Wallace's salary in 2009 = $64,300
The salary increased in => 2009 - 2006 = 3yrs
The amount of salary increased = 64,300-61000 = $3,300
The annual change of salary = 3,300/3 = $1,100
Evaluate the expression. – 5×(6+ – 5 1/ 2 )– – 1 4 /5. Write your answer as a fraction or as a whole or mixed number.
Find the value of x if
Answer:
X=-1 or x=1/3
Step-by-step explanation:
That is the explanation in the photo
where does a line and a plane intersect?
a. point
b. plane
c. line
Answer:
A. point
Step-by-step explanation:
An intersection of a line and a plane is at the point.
The change in the price for day 2 is of the change in the price for day 3. At the end of day 5,
the price of Meredith's stock is $32.05. What is the change, in dollars, in the price of the stock
for day 5?
Answer:
+ 0.26
Step-by-step explanation:
David went to the store and bought a bag of
jellybeans for $1.73, an Easter basket for
$5.04, and a floppy bunny for $8.22. Assuming
there is no sales tax, how much change should
David receive if David gives the cashier a
twenty-dollar bill
Answer:
$5.01
Step-by-step explanation:
20 - (1.73 + 8.22 + 5.04)
20 - (9.95 + 5.04)
20 - 14.99
5.01
Therefore, my answer is right.
There are 5 blue birds, 6 green ones and 3 black ones. If I randomly catch 2 birds, what is the probability the first bird is black and the second is green?
Answer:
So you must first get the total of all the birds, which is going be a fraction of course , that being 14/14 birds in total, since there are only 3 black birds the probability of me getting a black one 3/14 because there are fourteen in total, and the probability for the green birds is 6/14.
The combined probability that the first bird is black and the second is green is 0.0918
What is Probability?Probability is the likeliness of an event to happen.
Total Blue birds = 5
Total Green birds = 6
Total Black birds = 3
Total birds = 14
The probability of selecting two birds such that the first bird is black and the second is green.
Probability = ( No. of the desired outcome )/( Total outcomes)
The probability of selecting black bird is 3/14
The probability of selecting green bird is 6/14
Therefore, the combined probability that the first bird is black and the second is green is
= (3/14) * (6/14)
= 18/196
= 0.0918
To know more about Probability
https://brainly.com/question/11234923
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Assume the annual day care cost per child is normally distributed with a mean of $9000 and a standard deviation of $1000. What percent of day care costs are more than $8600 annually?
Answer:
65.54% (nearest hundredth)
Step-by-step explanation:
Given:
[tex]\sf \mu=9000[/tex][tex]\sf \sigma=1000[/tex][tex]\sf X \sim N(\mu, \sigma^2)\implies X \sim N(9000,1000^2)[/tex]
P(X > 8600) = 1 - P(X ≤ 8600)
= 1 - 0.3445782584
= 0.6554217416
= 65.54%
the visual representation of data that is used to show how all the parts of something are related to the whole
Answer:pie charts?
Step-by-step explanation:
What is the measure of \angle x∠xangle, x?
Answer:
x° = 74°
Step-by-step explanation:
The supplementary angle of 106° is x°
x° = 180° - 106° = 74°
Hope this helps
The percentages of students in the school who attended the talent show for the years 2008 to 2013 are shown, This year, the school has a total of 380 students, How many students do u expect to attend the talent show this year ? It's super important that u say a good explanation or u don't get the BRAINLIEST!
Answer:
357
Step-by-step explanation:
number of students that would attend this year = percentage of students that attended in 2013 x total number of students
94% x 380 = 357.2