Answer:
x= 10.25
Step-by-step explanation:
#According to the source,
=> x^2+(3√5)^2 = (x+2)^2
=> x^2+9×5 = x^2+2×x×2+2^2
=> x^2+45 = x^2+4x+4
=> x^2+45-x^2-4x-4 = 0
=> - 4x+41 = 0
=> -4x = - 41
=> x = 41/4
=> x = 10.25
...........I'm sure...........100%
There are 20%, percent more goblins than wizards in magic club. There are 120 goblins in magic club.
How many wizards are in the magic club?
Answer:
100
Step-by-step explanation:
Here is your answer
Let the number of wizards is x
20% more gobins than wizards.
ATQ
Hence Numbers of wizards are 100 in a magic club.
Answer:
480
Step-by-step explanation:
120 ------ [tex]\frac{20}{100}[/tex]
x ----------[tex]\frac{100}{100}[/tex]
x·[tex]\frac{20}{100} = 120\frac{100}{100}[/tex]
x= [tex]\frac{120}{0,2}[/tex]
x=600
600- 120= 480 wizards in the club
What equals 3 3/4 + 1 1/4
Answer:
The answer is 5.
Step-by-step explanation:
Convert your mixed numbers to fractions.
Then your initial equation becomes:
15 5/4 + 5/4
Now you apply the fraction formulas for addition.
(15x4)+(5x4)
_________
4x4
60+20
____
16
= 80/16
Then we simplify and we have 5.
A, B and C are points on a circle with a diameter AB
Answer:
36.575
Step-by-step explanation:
you need to find line ab you can do [tex]A^{2} +B^{2} =C^{2}[/tex] for the triangle and get the line you also need to get the squar root of it as it is still squared then devide by 2 to get the rades then times that by pi and there you go you have the area also sorry for spelling I love math not English
Can anyone help me with my homework
The amount of a radioactive substance remaining as it decays over time is A = A0(0.5)t/h ,where a represents the final amount
Ao represents the original amount, t represents the number of years, and h represents the half-life of the sibstance.
The half-life of the radioactive isotope carbon-14 is 5,730 years. Approximately how many years will it take a 50-gram mass of
carbon-14 to decay to 5 grams?
Carbon-14 will take 19,035 years to decay to 10 per cent.
What is the time of decay?
A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay.
An exponential decay can be described by the following formula:
[tex]N(t)=N_oe^{-\lambda t}[/tex]
Where:
No = The quantity of the substance that will decay.
N(t) = The quantity that still remains and has not yet decayed after a time t
[tex]\lambda[/tex] = The decay constant.
One important parameter related to radioactive decay is the half-life:
[tex]t_{1/2}=\dfrac{Ln(2)}{\lambda}[/tex]
If we know the value of the half-life, we can calculate the decay constant:
[tex]\lambda =\dfrac{ln(2)}{t_{1/2}}[/tex]
Carbon-14 has a half-life of 5,730 years, thus:
[tex]\lambda =\dfrac{ln(2)}{5730}[/tex]
[tex]\lambda[/tex] = 0.00012097
The equation of the remaining quantity of Carbon-14 is:
[tex]N(t)=N_oe^{-0.00012097t}[/tex]
We need to calculate the time required for the original amount to reach 10%, thus N(t)=0.10No
[tex]0.10N_o=-N_oe^{-0.00012097t}[/tex]
Simplifying:
[tex]0.10=e^{0.00012097t}[/tex]
Taking logarithms:
ln(0.10) = -0.00012097t
Solving for t:
[tex]t=\dfrac{Log0.10}{-0.00012097}[/tex]
t = 19035 years
Carbon-14 will take 19,035 years to decay to 10 per cent.
To know more about decay follow
https://brainly.com/question/25537936
#SPJ2
Pleaseeeeee helpppppppppp
Answer:
19.2 Cubed Cm.
Step-by-step explanation:
I think this would be the asnwer bceause the formula is volume = base times the height which is 3 times 6.4 in yoru case which is 19.2 cubed cm.
Evaluate: 63 + 7 X 4
Answer:
91
Step-by-step explanation:
Multiplication first, so 7x4 = 28
28+63=91
Answer:
91
Step-by-step explanation:
multiply the numbers
7×4=28
63+28=91
add the numbers
91
Find the value of y.
Answer:
y = 6
Step-by-step explanation:
This is a special right triangle with angle measures 90° 60° 30°
the side length that sees angle measure 30 is represented with x
the side length that sees angle measure 90 is represented with 2x
and the side length that sees angle measure 60 is represented with x√3
the side length that sees angle measure 90 is given as 4√3 which means 2x = 4√3 divide both sides by 2
x = 2√3 now to find y, we need to multiply this value by √3
2√3 × √3 = 2 × 3
Each band member is selling wrapping paper to help raise money for the band banquet.
The band pays $2.75 for each roll of wrapping paper.
The rolls are then sold for $5.00 each.
----------------------------------------------------------------------------------------------------
Write an equation to find the profit for any amount of rolls sold. Use p for total profit and r for the number of rolls of wrapping paper.
Solve your equation to find the total profit the band members make if they sold 400 rolls.
$___________?
Answer:
-2.75r+5r=p
and 900 for the profit and second part of the question.
Step-by-step explanation:
So first to solve this you need to plug in 400 for r
-2.75*400+5*400=p
you are then going to solve the -2.75*400
you get -1,100
you then are going to do the second part of the equation
yo get 2000
-1,100+2000 to get your profit of 900
Si un número es múltiplo de 3, también es de 9? Expliquen por favor.
Find the measure of angles?
The equations to find the measure of ∠ ∠ are given. Use the definition of an angle bisector
to find the measure for those two angles.
Answer:
m<KNL = 65°
m<MNL = 65°
Step-by-step explanation:
An angle bisector divides an angle into two equal parts.
Thus:
m<KNL = m<MNL
Substitute
5x + 10 = 6x - 1
Collect like terms
5x - 6x = -10 - 1
-x = -11
Divide both sides by -1
x = 11
✔️m<KNL = 5x + 10
Plug in the value of x
m<KNL = 5(11) + 10 = 55 + 10
m<KNL = 65°
✔️m<MNL = 6x - 1
Plug in the value of x
m<MNL = 6(11) - 1 = 66 - 1
m<MNL = 65°
If 12 men or 15 women can finish a piece of work in 66 days, how long will 24 men and 3 women take to finish the work? Pls helppp thank you :)
Answer:
30 days
Step-by-step explanation:
Friedman and Rosenman have suggested that personality type isrelated to heart disease. specifically, type A people, who arecompetitive, driven, pressured and impatient are more prone toheart disease. on the other hand, type B people, who are lesscompetitive and more relaxed are less likely to have heart disease.suppose that an investigator would like to examine the relationshipbetween personality type and disease. for a random sample ofindividuals, personality type is assessed witha standardizedtest. these people are then examined and categorized as to whetherthey have a heart disorder. the observed frequencies are asfollows: noheart disease heartdiseaseTypeA 32 18 50TypeB 128 22 150 160 40is there any relationship between personality and disorder? testat the .05 level of significance.
Answer:
since p value(0.001091 ) is less than less than alpha(0.05)
null hypothesis H₀ is rejected.
Hence, we conclude that there is a relationship between personality and disorder.
Step-by-step explanation:
Given the data in the question;
non-heart disease heart disease total
TypeA 32 18 50
TypeB 128 22 150
total 160 40
level of significance ∝ = 0.05
H₀ : There is no relationship between personality and disorder
H₁ : There is a relationship between personality and disorder
so
the computational table for x²
E₁ = 50×160 / 200 = 40
O E O-E (O-E)² (O-E)² /E
32 40 -8 64 1.6
18 10 8 64 6.4
128 120 8 64 0.5333
22 30 -8 64 2.133
∑ 10.667
so
X² = ∑( (O-E)² /E ) = 10.667
The contingency table is 2×2, since there are 2 rows and 2 columns
df = (2-1)(2-1) = 1
P Value from Chi-Square Calculator
Chi-square score: 10.667
DF : 1
p-value = 0.001091
since p value(0.001091 ) is less than less than alpha(0.05)
null hypothesis H₀ is rejected.
Hence, we conclude that there is a relationship between personality and disorder.
Will someone help me please)
24 divided by [(6 divided by 2) - (4 divided by 2)
Answer:
Im pretty sure the answer is 6
Step-by-step explanation:
Leave the 24 aside for a sec. Focus on the 6÷2 and 4÷2. 6 divided by 2 is 3. And 4 divided by 2 is 2. So now its 24÷3= 8
8-2=6
Is 4/5 and 5/6 equivalent or not
Answer:
For the two fractions 4/5 and 5/6, the least common denominator is 30. The fraction 4/5 is equivalent to 24/30 (To get this I multiplied both the numerator and denominator by 6). The fraction 5/6 is equivalent to 25/30 (To get this I multiplied both the numerator and denominator by 5).
Step-by-step explanation:
They are equivalent (Except for the numerator)
A sportswriter wishes to see if a football filled with helium travels farther, on average, than a football filled with air. To test this hypothesis, the writer uses 18 male subjects, randomly divided into two groups of 9 subjects each. Group 1 kicks a football filled with helium to the recommended pressure, while Group 2 kicks a football filled with air to the same pressure. The sample mean yardage for Group 1 was barx2 = 30 yards with a standard deviation of s1 = 8 yards. The mean yardage for Group 2 was barx2 = 25 yards with a standard deviation of s2 = 6 yards. Assume that the two groups of kicks are independent. Let μ1 and μ2 represent the mean yardage we would observe for the entire population represented by the volunteers if all members of this population kicked, respectively, a helium-filled football and an air-filled football. Let σ1 and σ2 be the corresponding population standard deviations. Assuming two-sample t procedures are safe to use, what is a 99% confidence interval for μ1 – μ2?
A) 4 ± 7.7 yards.B) 4 ± 11.2 yards.C) 4 ± 4.7 yards.D) 4 ± 6.2 yards.
Answer:
5 ± 9.74
Step-by-step explanation:
Confidence interval, two - sample, t procedure ;
μ1 - μ2 = (x1 - x2) ± Tcritical*S
S = sqrt[(s1²/n1) + (s2²/n2)]
n1 = 9 ; n2 = 9 ; s1 = 8 ; s2 = 6 ; x1 = 30 ; x2 = 25
S = sqrt[(8^2/9) + (6^2/9)]
S = sqrt[11.111111]
S = 3.333
Tcritical at 99% confidence interval
df = 18 - 2= 16
Tcritical = 2.92
(30 - 25) ± 2.92*(3.333)
5 ± 9.74
HELP ME PLZ I NEED IT DONE
Answer:
-6 , 6, 11
Step-by-step explanation:
Set each part of the equation to zero, so that x-11= 0, and x^2 - 36 = 0. Solve each part, and you get -6, 6, and 11.
Hopefully this helps- let me know if you have any questions!
If carpet costs $4 per square yard, how much would it cost
to carpet a rectangular room that is 6 yards wide and 10
yards long?
Answer:
A=l•w
A=6•10
A=60 yards square
1 yr sq 4$
60 yr sq x$
x=60•4/1
x=240 $
It would cost 240$ to carpet the room
Step-by-step explanation:
I will give brainliest, Geometry
19.14 = v + 1.5
v = ?
Answer:
V= 17.64
Step-by-step explanation:
through: (-2, -1), slope = 3
Write the slope intercept form of the equation line through given point with given slope .
Answer:
y =3x + 5
Step-by-step explanation:
The slope intercept form of an equation is expressed as;
y = mx+c
m is the slope
c is the intercept
Get the intercept
Substitute m = 3 and (-2,-1) into y = mx+c
-1 = 3(-2)+c
-1 = -6 + c
c = -1+6
c = 5
Get the equation.
Recall that y = mx+c
y =3x + 5
This gives the required equation
What is the range of the relation below?
{(-4,1), (-2,0), (8, -1)}
Answer:
Range: {-1, 0, 1}
General Formulas and Concepts:
Math
Number LineAlgebra I
Range is the set of y-values that are outputted by function f(x){Set Builder Notation}Step-by-step explanation:
Step 1: Define
[Relation] {(-4, 1), (-2, 0), (8, -1)}
Step 2: Identify
According to the relation, our y-values are 1, 0, and -1. These values would encompass our range.
HELP! WILL GIVE BRANLIEST + EXTRA POINTS!!!!
Answer:
130.25 ft.
Step-by-step explanation:
The semi circle has a length 1/2 of the circumference of the circle with a diameter of 25
C = πd = 3.14(25)
So, the semi circle has a length = 1/2(3.14)25) = 39.25
The distance for the rectangle = 33 + 25 + 33 = 91
Therefore, the total perimeter = 91 + 39.25 = 130.25
Which expression has the greatest value?
A: -2 x -2 divided by 1/2
B: -2 x -1/2 divided by 2
C: -2 x 1/2 divided by 1/2
D: -2 x 2 divided by 2
Answer:
A. -2 × -2 divided by 1/2
Step-by-step explanation:
-2 × -2 ÷ 1/2 =8
FACTOR the expression 6x+3y-12 using the greatest common multiple.
Include Parentheses: ()
No spaces!
Put the multiple outside, to the left of the parentheses! Combine like terms and simplify the expression: -2+6x+4+4x
Answer:
Step-by-step explanation:
For 6x+3y-12 the greatest common factor is 3 so
3(2x+y-4)
For -2+6x+4+4x
10x+2 and 2 is greatest common factor so
2(5x+1)
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. x+7–4x3
What is a chi-squared test?
Answer:
A chi-squared test, also written as χ² test, is a statistical hypothesis test that is valid to perform when the test statistic is chi-squared distributed under the null hypothesis, specifically Pearson's chi-squared test and variants thereof.
I hope it's helpful!
This is for person to help me
Answer:
5. F
6. C
Step-by-step explanation:
5. the mode is all the variables added together which is 100 or 100% divided by the number of them which is 4. 100 divided by 4 is 25 or 25%. The one that's equal to 25% is F which is soccer.
6. The relative frequency from what I can tell is the percentages of each of them. You just have to see how much space each of them takes up. C should be the answer.
Hopefully these are correct.
-2=w/2+6
solve for w
Answer:
It is -16
Step-by-step explanation:
Have a great Day