Answer:
When x = 1, (f◦g)(x) is -2.
Step-by-step explanation:
Composite function:
The composite function of f and g is given by:
[tex](f \circ g)(x) = f(g(x))[/tex]
In this question:
[tex]f(x) = x - 3, g(x) = x^2[/tex]
Composite function:
The composite function is:
[tex]f(g(x)) = f(x^2) = x^2 - 3[/tex]
At x = 1
[tex](f \circ g)(1) = 1^2 - 3 = 1 - 3 = -2[/tex]
So
When x = 1, (f◦g)(x) is -2.
Can someone please tell me the answer
Answer:
E, 5, 3
Step-by-step explanation:
We just need to connect the rectangle with dots equally placed.
Hi everyone! I got another problem I need help on over probability. No links or you will be reported!!!
Please help me solve this. Where I'm going wrong and an explanation would be very helpful as well.
problem: The data in the following table shows the outcomes of guilty and not-gulity pleas in 1055 criminal court cases.
Sent to prison:
Guilty plea: 399
Not-gulity plea: 59
Not sent to prison:
Guilty plea: 567
Not-gulity plea: 29
A. What is the probability that a randomly selected defendant either pled guilty or was not sent to prison? (round to three decimal places as needed.)
Answer:
0.944
Step-by-step explanation:
First of all, are you sure the datas are alright? We have a count of 1054 defendants while adding up all these numbers.
Assuming the datas are true, out of the 1054 defendants:
- 399 are sent to prison and guilty
- 567+29 = 596 aren't sent to prison.
Since we are looking for the probability that a randomly selected defendant either pled guilty or was not sent in prison, it means we have
[tex] \frac{399+596}{1054} = \frac{995}{1054} = 0.944[/tex]
(rounded to three decimal places).
Write the equation of a line in slope-intercept form that has a slope of -5 and passes through the point (3,- 2)
9514 1404 393
Answer:
y = -5x +13
Step-by-step explanation:
We know from the slope-intercept equation ...
y = mx + b
that the y-intercept b can be found as ...
b = y - mx
Filling in the given values of m and (x, y), we find ...
b = -2 -(-5)(3) = 13
Then the equation is ...
y = -5x +13
Fill in the missing part of the proportion.
GH
C. CD
B. HI
A. GF
Step-by-step explanation:
the answer is GH, the can be the only answer
Use the Power Property of Logarithms to write the logarithm as a product, and simplify if possible: lnx3√.
Answer:
[tex] ln \: {x}^{ \sqrt{3} } = \sqrt{3} \: ln(x) [/tex]
We can write by power property of logarithm that [tex]logx^{\sqrt{3}}=\sqrt{3} logx[/tex]
What are Logarithms?A logarithm is the power to which a number must be raised in order to get some other number
We need to use the Property of Logarithms to write the logarithm as a product[tex]logx^{\sqrt{3}}[/tex]
We have a power property of logarithm that [tex]loga^{b} =bloga[/tex]
So Given logx to the power of root three
Here consider x as a and b as root 3.
[tex]logx^{\sqrt{3}}=\sqrt{3} logx[/tex]
Hence, We can write by power property of logarithm that [tex]logx^{\sqrt{3}}=\sqrt{3} logx[/tex]
To learn more on Logarithms click:
https://brainly.com/question/28346542
#SPJ2
I’m stuck, help would be nice :D
Answer:
-14
Explanation:
3 x -3 - 5 = -14
Answer:
-14, -5, 4, and 13
Step-by-step explanation:
For each x value, substitute it for x in the equation.
For the first one where x = -3,
y = 3(-3) - 5
y = -9 - 5
y = -14
So the first one is -14. The next x value is 0
y = 3(0) - 5
y = 0 - 5
y = -5
Second one is -5. The next x value is 3
y = 3(3) - 5
y = 9 - 5
y = 4
Third is 4. The next x value is 6
y = 3(6) - 5
y = 18 - 5
y = 13
So the last one is 13.
Which equation should be used to find the volume of the figure?
12 cm
13.cm
6 cm
10 cm
Answer:
O V=3(10XB)(12)
Step-by-step explanation:
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 11 inches, and the length of the base is 6 inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.
The perimeter of the considered isosceles triangle is 28.8 in. approx.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Considering the attached image below, which has same isosceles triangle with same measurements, we see that:
|AC| = |AB| (because perpendicular dropped leaves two congruent triangles in ABC, as ADC and ADB)
similarly, we have:
|BD| = |DC|
But |BC| = 6 = |BD| + |DC|,
Thus, 6 = |BD| + |DC| = |BD| + |BD| =2|BD|
|BD| = 6/2 = 3 inches = |DC|
From Pythagoras theorem for triangle ADB, we get:
[tex]|AB|^2 = |AD|^2 + |BD|^2\\|AB|^2 = 11^2 + 3^2 = 121 + 9 = 130\\|AB| = \sqrt{130} \approx 11.4 \: \rm in. = |AC|[/tex]
(positive square root since |AB| is length, which is a non-negative measure).
Thus, we get:
Perimeter of the rectangle = |AB| + |BC| + |AC| ≈ 11.4 + 6 + 11.4 = 28.8 in.
Learn more about Pythagoras theorem here:
https://brainly.com/question/12105522
What is an angle that is supplementary to HDI?
Answer:
hde
Step-by-step explanation:
they both add up to 180 since they're both on line BI
Answer:
<EDH
Step-by-step explanation:
When two angles are supplementary they sum to 180. This means together they form a straight line. So, to find the answer find the angle that connects to <HDI to create one straight line. In this case, that is <EDH because line EI is straight and the two aforementioned angles are the ones that create the line.
god please please someone help with this my last question and more coming im about to cry i need help youll have good luck and ill love u 4 evea PLEASEEE.....................................................................................................................................................................................................Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.
The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week.
What is the slope of the function representing the weekly paycheck amount for Salesman A? Use complete sentences to explain your reasoning, or show your calculations.
What is the slope of the function representing the weekly paycheck amount for Salesman B? Use complete sentences to explain your reasoning, or show your calculations.
What is the slope of the function representing the weekly paycheck amount for Salesman C? Use complete sentences to explain your reasoning, or show your calculations.
Answer:12
Step-by-step explanation: i found the answer on another brainly account
ps: i hope you pass
Which of the following points are solutions to the equation 3x - 4y - 8 = 12?
Select all that apply.
(0-5)
(4-2)
(8.2)
(-16-17)
(-1.-8)
(-40,-34)
PLS BELP I DONT HAVE MUCH TIME!!!
Answer:
I'd say A or D but I have a feeling it's A
A hill rises from 100 m to 175 m over
a horizontal distance of 300 m. What
is the percent slope of the hill?
20 pts
Answer:
25%
Step-by-step explanation:
slope = (175-100)/300 = 75/300 = ¼
the percent slope = ¼×100%= 25%
how many terms of AP - 6. - 11 by 2 .minus 5 are needed to be the sum -25
Given:
The terms of a sequence are:
[tex]-6,-\dfrac{11}{2},-5[/tex]
To find:
The number of terms whose sum is -25.
Solution:
We have, the given sequence:
[tex]-6,-\dfrac{11}{2},-5[/tex]
Here, the first term is -6.
[tex]-\dfrac{11}{2}-(-6)=-5.5+6[/tex]
[tex]-\dfrac{11}{2}-(-6)=0.5[/tex]
Similarly,
[tex]-5-(-\dfrac{11}{2})=-5+5.5[/tex]
[tex]-5-(-\dfrac{11}{2})=0.5[/tex]
The difference between consecutive terms are same. So, the given sequence is an arithmetic sequence with common difference 0.5.
The sum of n terms of an arithmetic sequence is:
[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
Where, a is the first term, d is the common difference.
Putting [tex]S_n=-25,a=-6,d=0.5[/tex], we get
[tex]-25=\dfrac{n}{2}[2(-6)+(n-1)0.5][/tex]
[tex]-50=n[-12+0.5n-0.5][/tex]
[tex]-50=-12.5n+0.5n^2[/tex]
[tex]0=0.5n^2-12.5n+50[/tex]
Splitting the middle term, we get
[tex]0.5n^2-2.5n-10n+50=0[/tex]
[tex]0.5n(n-5)-10(n-5)=0[/tex]
[tex](0.5n-10)(n-5)=0[/tex]
Using zero product property, we get
[tex](0.5n-10)=0[/tex] and [tex](n-5)=0[/tex]
[tex]n=\dfrac{10}{0.5}[/tex] and [tex]n=5[/tex]
[tex]n=20[/tex] and [tex]n=5[/tex]
Therefore, the sum of either 5 or 20 terms is -25.
A lab technician mixes a 10% acid solution with a 50% acid solution to create 40 ml of a 40%
solution. How much of each solution must be used?
Answer:
10 ml of 10%
30 ml of 50%
Step-by-step explanation:
x = amount of 10%
40 - x = amount of 50%
-------------------------------------
10x + 50(40 - x) = 40(40)
10x + 2000 - 50x = 1600
-40x + 2000 = 1600
-40x = -400
x = 10 ml of 10%
40 - x = 30 ml of 50%
pls help djehhxhxhxhxhxjjdndnd
Area of both the triangles :
= ½ × base × prepenicular
= ½ × 3 × 4
= 3 × 2
= 6 × 2 = 12 ( We have two triangles)
Area of semicircle :
= πr²/2
= 3.14 × 3 × 3 /2
= 28.26/2
= 14.13
Total area = 12 + 14.13 = 26.13 = 26.130
Lacey runs a stable that boards a range of horses.
brown 8
black 9
gray 3
Considering this data, how many of the next 15 horses that come to board should you expect to be brown horses?
Answer:no it would be 4
Step-by-step explanation:
Find the median of the following data set. 1 1/4,5/8 ,3/5 ,1/2 ,1 1/2, 1 3/4
1. 7/8
2. 15/16
3. 5/6
Answer:
1. 7/8
Step-by-step explanation:
75 POINTS!!! PLEASE ANSWERl
The average size of a pair of women's shoes sold at a shoe store is size 8, with a standard deviation of 1.5
sizes. If the sizes are normally distributed, what is the percentile rank of at least a size 9. Go to z-table.com
Answer:
75%Step-by-step explanation:
Find z-score:
z = (9 - 8)/1.5 ≈ 0.67Get the rank from the z-table:
0.7486 ≈ 75%A reporter for a student newspaper is writing an article on the cost of off-campus housing. A sample was selected of 10 one-bedroom units within a half-mile of campus and the rents paid. The sample mean is $550 and the sample standard deviation is $60.05. Provide a 95% confidence interval estimate of the mean rent per month for the population of one-bedroom units within a half-mile of campus. Assume that population is normally distributed.
Answer:
(507.05, 592.95)
Step-by-step explanation:
Given data:
sample mean = $550, sample standard deviation S = $60.05
95% confidence interval , n = 10
For 95% confidence interval for the mean
mean ± M.E.
where M.E. is margin of error = [tex]t_{n-1}, \alpha/2\times\frac{S}{\sqrt{n} }[/tex]
Substituting the values in above equation
[tex]=t_{10-1}, 0.05/2\times\frac{60.05}{\sqrt{10} }[/tex]
= 2.62×18.99
=42.955
= 550±42.95
=(507.05, 592.95)
Every month $50 is withdrawn from Tom’s savings account to pay for his gym membership he has enough savings to withdraw no more than $200 for how many months can Tom pay for his gym membership.
Answer:
4 months.
Step-by-step explanation:
Solve the simultaneous equations
3x + 5y = 21
3x – y=3
Answer:
Using substitution method
x=2
y=3
pls help i’ve been stuck on this question ‼️
if it was quarter to five an hour and twenty-five minutes ago, what is the time now?
PLZ HELPPPPPPPP
When y=4x-6 find y if x=o
How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions
Answer:
B) One solution
Step-by-step explanation:
Clearly, the two linear equations graphed have one point of intersection, which means one solution.
Answer:
B
Step-by-step explanation:
the solution is the intersection of the two lines
can someone please help me with this. whoever answers first will be the brainleyist
Answer:
Step-by-step explanation:
6(5+x) = 30 + 6x
1. Distribute the 6 to both the 5 and the x.
7x5x3 = 105
1. Just multiply them together.
28 - 3(2+4)/9 = 26
1. PEMDAS
2. Add inside the parenthesis: 28 - 3 x 6 / 9
3. Multiply: 28 - 18 / 9
4. Divide: 28 - 2
5. Subtract: 26
Solutions to quadratic equation 4x^2+5x+1=0
39➗(2+1) - 2x (4+1)
5/7 - Exit Ticket
Answer:
13 - 10x
= -3x
hope it helps
a group of students was asked about the number of emails they each sent that day the results are 0,0,1,2,3,4,5,6,6,7,8,8,8,9 i will post the other half now
Answer:
D
Step-by-step explanation:
All you do is count the values from 0 to 3 which there are 5 of and only D shows that (I got the remaining answer choices from your profiles other question showing the remaining answers)
Answer:
D is the answer
Step-by-step explanation:
All you do is count the values from 0 to 3 which there are 5 of and only D shows that (I got the remaining answer choices from your profiles other question showing the remaining answers)