Answer:
x is -9 is an extraneous solution
Step-by-step explanation:
Given the expression
x/4 = x²/3(x+3)
We are to find the value of x
Cross multiply
3x(x+3) = 4x²
3x²+9x = 4x²
3x²-4x² = 9x
-x² = 9x
-x = 9
x = -9
Hence the value of x is -9 is an extraneous solution
What is the value of y = cos (θ) when θ = π?
Answer:
The cosine function forms a wave that starts from the point (0,1) cos θ = 0 when θ = 90˚, 270˚. Maximum value of cos θ is 1 when θ = 0˚, 360˚.
Step-by-step explanation:
Which is the graph of arctan(x)?
Answer:
The Inverse Tangent Function (arctan)
Graph of y = tan x.
The graph of arctan(x) is second graph.
We have inverse function [tex]y=tan^{-1} x[/tex]
Creating the table
x 0 π/4 π/2 -π/2 -π/3 π/3
y 0 1 ∞ -∞ -√3 √3
From the given graphs we see that the second graph satisfies the values.
So, the correct graph for arctan(x) is second graph.
Learn more:https://brainly.com/question/2849972
A real estate software program gives the estimated values of homes and lists characteristics of the homes. A prospective home buyer used the program to collect a sample of twenty-five homes and recorded the estimated value of the homes and how many bathrooms they contain. The prospective home buyer wants to investigate whether there is an association between the number of bathrooms a home contains and the estimated value of the home. Assuming all conditions for inference are met, which of the following significance tests should be used for the investigation?A. A two-sample z-test for a difference between proportionsB. A linear regression t-test for slopeC. A matched pairs t-test for a mean differenceD. A two-sample t-test for a difference between meansE. A chi-square test of independence
Answer:
E - Chi-Square Test of Independence
Step-by-step explanation:
- The Two-Sample Z-test is used to compare the mean of two samples in order to find out the possibility that they come from the same population.
-A linear regression t-test for slope is used to carry out hypothesis tests on the regression coefficients which are obtained in simple linear regression.
-A matched-pairs t-test is used to test whether there is a significant difference in mean between two sets of paired data.
- A two sample t-test is used to test whether the unknown population mean found in two groups are either equal or not equal.
-Chi-Square Test of Independence is a non-parametric test that is used to find out whether there is an association between categorical variables. Simply put, to find out if the categorical variables are independent or related.
From the question, the prospective home buyer is trying to investigate whether there is an association between the two variables which are the number of bathrooms contained in home and the estimated value of the home.
This means he is trying to find out if both variables are associated i.e.either independent or related. This is what Chi-Square Test of Independence does.
Answer:
A chi-square test of independence
Step-by-step explanation:
colllege board
Finding Angles By Deg
Determine if the angle described is 'acute', 'obtuse',
1) 180°
2) 46°
3) 53°
Answer:
1) Obtuse
2) Acute
3) Acute
Step-by-step explanation:
Anything under 90 degrees is an Acute angle, while anything above is an Obtuse. A 90 degree angle is a right angle.
Please Brainiest!
In a right triangle, the tangent of angle A is 9/12 and the cosine of angle a is 12/15 based on these values what is the sine of angle a
a. 9/15
b 15/16
c 1, 1/15
d 1. 11/20
Answer:
option A 9/15
im srry i suck at math
Heather drives 130 miles in 2 hours. If she travels the same distance each hour, how many miles does she drive per hour?
Answer:
she drive 65 miles Per hour
Answer:
if she drive for two more hours that means she drove 4 hours and plus 130 plus 130 and that will equal 260. so the answeris 260.
Step-by-step explanation:
Aleena expands 2xx+3-5(x-2) as 2x2+3-5x-10. Has she expanded it correctly? Please identify the mistakes and write the correct way in which 2xx+3-5(x-2) should be expanded.
The given expression is :
2xx+3-5(x-2)
We know that, [tex]x{\cdot}x=x^2[/tex]
[tex]=2x^2+3-5(x-2)\\\\=2x^2+3+(-5)(x)+(-5)(-2)\\\\=2x^2+3-5x+10[/tex]
Aleena expands 2xx+3-5(x-2) as 2x²+3-5x-10. She is mistaken because the sign before 10 should be +10 instead of -10. Hence, the correct expanded form is 2x²+3-5x+10. Hence, this is the required solution.
2/3y + 1/6y =
Please help me, I am unsure about this one. I just need a grasp on where to start.
from first principle find the derivative of logx
Hello!
[tex]\large\boxed{\frac{dy}{dx}logx = \frac{1}{xln10} }[/tex]
Recall that:
[tex]logx[/tex] can be rewritten as:
[tex]log_{10}x[/tex]
Use the equation for the derivative of a log expression:
[tex]\frac{dy}{dx}log_{a}u = \frac{1}{ulna} * u'[/tex]
Substitute in the values in the expression:
[tex]logx = \frac{1}{xln10} * 1 = \frac{1}{xln10}[/tex]
To make lemonade, Brandon mixes 9 cups of water with 2 cans of frozen lemonade concentrate.
Answer:
Step-by-step explanation:
Y la pregunta?
A June 2009 Harris Interactive poll asked people their opinions about the influence of advertising on the products they buy. Among the people aged 18 to 34 years, 45% view advertisements as being influential, whereas among the people aged 35 to 44 years, 37% view advertisements as being influential. Suppose that this survey included 655 people in the 18- to 34-year age group and 420 in the 35- to 44- year age group. At the 1% significance level, can you conclude that the proportion of all people aged 18 to 34 years who view advertisements as being influential in their purchases is greater than the proportion of all people aged 35 to 44 years who hold the same opinion
Answer:
We accept with 99 % of confidence that p₁ ( the proportion in the group aged 18 - 34 ) is bigger than p₂ (the proportion in the group aged 35-44)
Step-by-step explanation:
Group aged 18 - 34
Sample size n₁ = 655 sample size enough to apply a normal distribution aproximation for the test
p₁ = 0,45 and q₁ = 1 - p₁ q₁ = 0,55
p₁*n₁ = 0,45*655 = 294 q₁*n₁ = 0,55*655 = 360
both bigger than 5
p₁ = 45 % or p₁ = 0,45 then q₁ = 1 - 0,45 q₁ = 0,55
Group aged 35 - 44
Sample size n₂ = 420 sample size enough to apply a normal distribution aproximation for the test
p₂ = 37% p₂ = 0,37 and q₂ = 0,63
p₂*n₂ = 0, 37*420 = 155 q₁*n₁ = 0,63*420 = 264
Test Hypothesis
Null Hypothesis H₀ p₁ = p₂
Alternative Hypothesis Hₐ p₁ > p₂
Significance level α = 1% α = 0,01
Confidence Interval CI = 99 %
Then from z table we find critical z z (c ) = 3,1
Calculating z(s)
z(s) = ( p₁ - p₂ )/ √[ ( p₁*q₁)/n₁ ] + [ (p₂*q₂)/n₂ ]
z(s ) = (0,45 - 0,37 ) / √ 0,45*0,55)/655 + 0,37*0,63 /420
z(s) = 0,08 /0,03
z(s) = 2,66
Comparing z(s) and z(c)
z(s) < z(c)
Then z (s) is inside the acceptance region for H₀
Which point is located in Quadrant I?
(shown in pic)
Don’t answer if you don’t know, but if get it right i’ll give brainiest! it’s due soon pls help.
Answer:
c
the top right is quadrant l, the top left is quadrant ll, the bottom left is quadrant lll, and the bottom right is quadrant lV
how many meters an Ostrich can run in 1 second, 2 seconds , and 4 seconds?
Answer:
An ostrich could run near 21 meters in 2 seconds and around 84 meters in 4 seconds
Which relation is a function?
OA.
{(2, 3), (1, 5), (2, 7))
B. (-1, 5), (-2, 6), (-3, 7)
Oc. (11,9), (11, 5), (9, 3))
OD.
(3, 8), (0, 8), (3, -2)}
Susan and Jim each own a lawn-care business. The amount Susan charges for lawn care by the hour is shown in the table. The amount Jim charges for lawn care by the hour is shown in the graph.
Answer:
Can you please provide the table so I can know the numbers.
Step-by-step explanation:
Thank you
Answer:
plss stop english plss lang po
he
Help plz I don’t have much time
Answer:
nine and two fifths( 9 2/5 )
Step-by-step explanation:
i used a fraction calclulator
Answer:9.4
Step-by-step explanation:
Solve for x 1000 = 500e^2x
Can someone help me please
Answer: A
Step-by-step explanation:
1000 = 500e^(2x)
2 = e^(2x)
ln2 = 2x
Step-by-step explanation:
1000 = 500e^(2x)
2 = e^(2x)
ln2 = 2x
x = ln2 / 2. (A)
HELPPPPPP!!!!!!!!!!!!!
Answer:
Statement F is true
Step-by-step explanation:
Let x represent number of yoga classes
Let y represent total cost
Let m represent the additional fee per yoga class
Let b represent the membership fee
y=mx+b
Notice that after every 2 classes, the price goes up by 7.5 so m=7.5/2
m=3.75
Thus the first statement is true
Note you can also find the membership fee if you plug this in with some points
y=mx+b
67.5=3.75(6)+b
b=45 so membership fee is $45
9. A machine can make 32 water bottle every 6 minutes. At this rate, how many water bottles can the machine make in 60 minutes? A 92 B 38 с 326 D 320 1
Answer:
320
Step-by-step explanation:
32 bottles in 6 minutes add a 0 so you get 320 bottles in 60 minuts.
Answer:
D 320
Step-by-step explanation:
Since 60 minutes is 10 times 6 minutes, the machine can make 10 time more water bottles in 60 minutes than it can make is 6 minutes.
10 * 32 = 320
Answer: D 320
You can also solve by using a proportion.
32/6 = x/60
6x = 60 * 32
Divide both sides by 6.
x = 10 * 32
x = 320
Answer: D 320
Evaluate.
0^2=
I do not get this way toooooooo hard
Answer:
zero
Step-by-step explanation:
Answer:The answer is 0
Step-by-step explanation: Sorry i didn't explain it.
how to find x of the (x+95) and (4x-10)
Answer:
x=35
Step-by-step explanation:
x+95=4x-10
Subtract x on both sides
95=3x-10
Add x on both sides
105 = 3x
x=35
Hope this helps plz hit the crown :D
Answer:
x = 35
Step-by-step explanation:
(x + 95) = (4x - 10) get rid of the parentheses
x + 95 = 4x - 10 put the x's together and put your constants together
105 = 3x divide 3 from both sides
35 = x
Hope this helps
Is the function f(x) = 3(.96)x an exponential growth or exponential
decay function? Why?
Answer:
exponential decay
Step-by-step explanation:
anything less than 1 in the parenthesis is decay
(8m-2)(3m+7)
Multiply
Answer:
24m^2+50m-14
Step-by-step explanation:
30 points On a certain hole, a golfer knows that he has a 70% chance of reaching the green (putting surface) in one stroke, 20% in two strokes, 8% in three, and 2% in four or more. If he reaches the green on his first stroke, he has an 80% chance of putting the golf ball in the cup on his second stroke. If he does not reach the green on his first stroke, then he has a 30% chance of putting the golf ball in the cup on his second stroke. What is the probability that the golfer will reach the green in one stroke and put the ball in the cup on his second stroke?
0.09
0.21
0.56
0.80
Answer:
.56
Step-by-step explanation:
8. Iris wants to buy two necklaces, one for her sister and one for herself. The necklace for her sister costs $42.00, and the necklace for herself costs $28.00. The sales tax on the purchases is 8%. Find the total cost of Iris's purchases, including sales tax. If necessary, round your answer to the nearest cent. C $75.60 A $64.40 B $5.60 B D $70.00
Twice a number is 42 less then five times a number. What is the number? Define a variable, write an equation, and then solve.
Answer:
Given - Twice a no. is 42 less than 5 times a no.
To find - The no.
Solution -
Let the no. be XAccording to the question the equation made is -
2x = 5x - 42
2x - 5x = (-42)
(-3x) = (-42)
x= (-42)/(-3)
x = 14
The no. is 14
I need help with this question can anyone help ?
Answer:
m < 1 = 72
Step-by-step explanation:
Since we know that line l and line m are parallel and that p is one of their transversals, it sets up a situation where we can identify which angles are congruent (equal) to one another according to their positions.
In this case, we can see that < 3 and < 1 are in the same matching corners created by the transversal. When angles are in the same matching corners they are called corresponding angles - and according to the Corresponding Angles Postulate, corresponding angles are congruent.
Therefore, m < 3 = m < 1, and since it's given that m < 3 = 72, we know that m < 1 = 72 too.
Really need help !!!!!!!!
which value if x makes this proportional true? 14/20=56/x A.x=62 B.x=70 C.x=80 D.x=100
==================================================
Work Shown:
Let's cross multiply to get the following
14/20 = 56/x
14*x = 20*56
14x = 1120
x = 1120/14
x = 80
-------------------
As a way to check the answer, we can type 14/20 - 56/80 into the calculator and we should get 0. I'm taking advantage of the rule that if A = B, then A-B = 0. This trick is handy to check if two sides of any equation are equal to one another.
your answer will be 80 pretty sure
Evaluate -3x^3 - 4x for x=-1.
Answer:
-x.(3x^2+4)
Step-by-step explanation:
Brain-list?
Answer:
-3(-1)^3-4(-1)= 27+4=31
Step-by-step explanation:-3 and -1 when you multiply both minus will change into plus. same for -4 and -1 when you multiply will change the signs. so you will get 27+4=31