Answer:
X=-2,-1,0,1,2,3,4,5,6,
Step-by-step explanation:
IF 8 IS LARGER THAN -3 YOU COULD GET THE FOLLOWING ANSWER
Answer:
x>5
Step-by-step explanation:
move -8 to the right side, change the sign and solve:
x > - 3 + 8
x > 5
∑_(n=1)^∞▒〖( 1/2 )〗^2n
Answer:
The series converges to [tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
It seems to be this series:
[tex]$ \sum_{n=1}^{\infty} \left(\dfrac{1}{2} \right)^{2n}$[/tex]
We have
[tex]$ \sum_{n=1}^{\infty} \left(\dfrac{1}{2} \right)^{2n} = \sum_{n=1}^{\infty} \left(\dfrac{1}{4} \right)^{n}$[/tex]
Using the Root test we can see that this series converges once
[tex]$ \lim_{n \to \infty} \sqrt[n]{|a_n|} < 1 \implies \sum_{n=1}^{\infty} a_n \text{ is convergent}$[/tex]
Then, [tex]$\lim_{n \to \infty} \sqrt[n]{\left(\dfrac{1}{4} \right)^{n}} = \lim_{n \to \infty} \dfrac{1}{4} = \dfrac{1}{4} < 1$[/tex]
The series is convergent.
Once the series is geometric, the first term is [tex]\dfrac{1}{4}[/tex] and the ratio is also [tex]\dfrac{1}{4}[/tex] in this case.
The sum of infinite geometric series is [tex]S = \dfrac{a_1}{1-r}[/tex] such that [tex]r < 1[/tex]
[tex]\therefore S = \dfrac{\frac{1}{4} }{1-\frac{1}{4}} = \dfrac{1}{3}[/tex]
Can someone answer with steps and explanation? Thanks.
Answer:
[tex]BC=9\sqrt{3}\approx15.59\text{ units}[/tex]
Step-by-step explanation:
Since Segment BOA is a diameter:
[tex]m\angle ACB=90[/tex]
Arc Ac and Arc CB are in a ratio of two to four. Since Segment BOA is a diameter, Arc ACB measures 180°. Letting the unknown value be x, we can write that:
[tex]2x+4x=180[/tex]
Hence:
[tex]x=30[/tex]
Thus, Arc CB = 120°. By the Inscribed Angle Theorem:
[tex]\displaystyle m\angle A=\frac{1}{2}\left(\stackrel{\frown}{CB}\right)=\frac{1}{2}\left(120)=60[/tex]
Therefore, ΔABC is a 30-60-90 triangle. Its sides are in the ratios shown in the image below.
Since AC is opposite from the 30° triangle, let AC = a.
We are given that AC = 9. Hence, a = 9.
BC is opposite from the 60° angle and it is given by a√3. Therefore:
[tex]BC=9\sqrt{3}\approx15.59\text{ units}[/tex]
The function h(x) is a transformation of the square root parent function,
f(x) = V2. What function is h(x)?
Answer:
[tex]h(x) = \sqrt{x+5}[/tex], option C.
Step-by-step explanation:
The parent function is [tex]f(x) = \sqrt{x}[/tex]
Function h:
Function h is function f shifted left 5 units.
Shifting a function f a units to the left is the same as finding [tex]f(x+a)[/tex]
Thus:
[tex]h(x) = f(x+5) = \sqrt{x+5}[/tex]
The function is [tex]h(x) = \sqrt{x+5}[/tex], and thus, the correct answer is given by option C.
Answer:
c
Step-by-step explanation:
1.What are the coordinates of the vertices of ABC? Use the coordinates to find the lengths of AC and AB .
2.Use the distance formula to find BC. Show your work.
Answer/Step-by-step explanation:
1.
✔️Coordinates of vertices ABC:
A(2, 2)
B(6, 2)
C(2, -1)
✔️AC = |2 - (-1)| = 3 units
AB = |2 - 6| = 4 units
2. Distance formula => [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Distance between B(6, 2) and C(2, -1):
[tex] BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Where,
[tex] B(6, 2) = (x_1, y_1) [/tex]
[tex] C(2, -1) = (x_2, y_2) [/tex]
[tex] BC = \sqrt{(2 - 6)^2 + (-1 - 2)^2} [/tex]
[tex] BC = \sqrt{(-4)^2 + (-3)^2} [/tex]
[tex] BC = \sqrt{16 + 9} = \sqrt{25} [/tex]
[tex] BC = 5 units [/tex]
Answer:
The person above me has the correct answer and solves it in the correct way.
Step-by-step explanation:
This is what I used as my answer though.
Distance Formula: d = √(x2-x1)^2 + (y2-y1)^2
BC = √(x2-x1)^2 + (y2-y1)^2
B = (6,2)
C = (2,-1)
BC = √(2-6)^2 + (-1-2)^2
BC = √(-4)^2 + (-3)^2
BC = √16+9
BC = √25
BC = 5
What is the quotient of the fractions below? 2/3÷5/4
answer:
2/3÷5/4 is equal to 8/15
Solve the equation 2x2 + x - 41 =
- 15 to the nearest tenth.
I neeeddd
HEEEELPPPP
Answer: 22
Step-by-step explanation: 2x2 + x -41= -15
* 4 + x -41= -15
* x -37= -15
* x= 22
−12 as a ratio of two integers.
Answer:
-12 can be written as the ratio of -24 and 2, for example.
Step-by-step explanation:
Ratio of a to b:
The ratio of a to b is given by the division of a by b, that is:
[tex]r = \frac{a}{b}[/tex]
−12 as a ratio of two integers.
Here, we want any division in which the result is -12. One example is:
[tex]-12 = \frac{-24}{2}[/tex]
-12 can be written as the ratio of -24 and 2, for example.
at sunrise, the outside temperature was 3 below zero by lunchtime the temperature rose by 27 and fell by 10 by night what was the temperature at the end of the day?
Answer:11 degrees at sunrisde the temp was -1 degree
Step-by-step explanation:
The graph of the function f(x) = 4 over 5 square root x is shown. What is the domain of the function?
Answer:
all real numbers greater than or equal to 0
Step-by-step explanation:
The domain of the function is whatever the input (in this case, x) can be. As you cannot take the square root of a negative number, x cannot be negative. Because you can take the square root of 0 (which is 0), x can be anything postive or 0, meaning anything greather than or equal to 0. The domain is all real numbers greater than or equal to 0.
HELP QUICK! WILL GIVE BRAINLIEST ANSWER!!
Answer:
x = 22 degree
Step-by-step explanation:
40 + 5x + 30 = 180 degree (being linear pair)
5x + 70 = 180
5x = 180 - 70
x = 110/5
x = 22 degree
Can someone please help me?
Answer:
The Answer for your question is B
Answer:
78%
Step-by-step explanation:
They are asking for spotted animals and dogs so
Spotted animals=40%
Dogs=38%
So just add them to get 78%
(Don’t get confused by the 12% spotted dogs those are from the 38%)
Linda is doing car wash with her teammates to collect money for their trip. They can
get $12 for the car that they wash. In order to start their work, they spent $155 to buy
supplies needed for the work.
Part A:
Create a function f(c) to represent the profit that they make for washing c cars.
f(c) =
(b)
Part B:
Use the function rule that you created on Part A to find the value of f '(145)
f-? (145)
9514 1404 393
Answer:
(a) f(c) = 12c -155
(b) f⁻¹(145) = 25
Step-by-step explanation:
(a) Profit is the difference between revenue (12c) and cost (155). The profit function is ...
f(c) = 12c -155
__
(b) The number of cars Linda's team must wash to achieve a profit of $145 is found from ...
145 = 12c -155
300 = 12c . . . . . . add 155
25 = c . . . . . . . . . divide by 12
f⁻¹(145) = 25 . . . . the team must wash 25 cars for a profit of $145
Consider the following sets of sample data:
A: 20,347, 20,327, 22,117, 21,762, 20,864, 20,102, 21,684, 20,063, 21,728, 21,580, 21,720, 20,920, 21,442, 20,766
B: 3.38, 4.64, 4.09, 3.93, 4.25, 4.63, 4.78, 4.25, 4.46, 2.93, 3.64
Required:
For each of the above sets of sample data, calculate the coefficient of variation, CV.
Answer:
3.319%
14.13%
Step-by-step explanation:
A: 20347, 20327, 22117, 21762, 20864, 20102, 21684, 20063, 21728, 21580, 21720, 20920, 21442, 20766
B: 3.38, 4.64, 4.09, 3.93, 4.25, 4.63, 4.78, 4.25, 4.46, 2.93, 3.64
Given the data:
The mean, m = Σx / n
The standard deviation, s = √Σ(x - m)²/ (n-1))
The coefficient of variation is, CV = s / mean
Using calculator to save computation time :
A: 20,347, 20,327, 22,117, 21,762, 20,864, 20,102, 21,684, 20,063, 21,728, 21,580, 21,720, 20,920, 21,442, 20,766
Data A :
Mean, m = 21101.5714
Standard deviation, s = 700.28925
CV = s / m * 100% = 700.28925 / 21101.5714 * 100% = 3.319%
Data B:
Mean = 4.089
Standard deviation, s = 0.5776
CV = 0.5776 / 4.089 * 100% = 14.13%
Find the slope of the line through the points (−18,−12) and (0,8).
Answer:
9/10
Step-by-step explanation:
y2-y1÷x2-x1
-18-0/-12-8
-18/-20
9/10
Answer:10/9
Step-by-step explanation:You do y2-y1 over x^2-x^1 and you get 10/9
Consider the following sample data: x 12 18 20 22 25 y 15 20 25 22 27 Click here for the Excel Data File a. Calculate the covariance between the variables. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Answer:
The covariance between the variables is 21.10 and the Correlation coefficient is 0.9285.
Step-by-step explanation:
Hence,
f(x) = 4x² + 3x - 2 g(x) = 6x³ - 3x²-4 Find (f +g) (x)
Answer:
6x^3+x^2+3x-6
Step-by-step explanation:
f(x) = 4x² + 3x - 2
g(x) = 6x³ - 3x²-4
(f +g) (x) =4x² + 3x - 2+6x³ - 3x²-4
Combine like terms
=6x^3+4x^2-3x^2+3x-2-4
=6x^3+x^2+3x-6
Choose the correct Set-builder form for the following set written in Roster form: { − 2 , − 1 , 0 , 1 , 2 }
Step-by-step explanation:
{x:x is an integer where x>-3 and x<3}
PLS HELP ASAP.!
THANK YOU, WILL MARK BRAINLIEST
Answer:
Explanation:
The volume of the triangular prism:
The base area of the prism = 1/2 x 4 x 6 = 12 ft2
Height = 6 ft
The volume of the triangular prism = 12 x 6 = 72 ft3
The volume of the rectangular prism:
The base area of the prism = 4 x 6 = 24 ft2
Height = 12 ft
The volume of the triangular prism = 12 x 24 = 288 ft3
Volume of the composite figure = (288 + 72)ft3 = 360 ft3
Step-by-step explanation:
Rachel is driving to visit her mother, who lives 250 miles away. How long will the
drive be, round-trip, if Rachel drives at an
average speed of 40 mph?
Answer:
Time for a round trip = 12.5 hours
Step-by-step explanation:
Mother's house = 250 miles
Total distance for the round trip = 250 + 250 = 500 miles
Given speed = 40 mph
Find time .
[tex]Speed = \frac{distance }{Time }\\\\Time = \frac{distance }{speed } = \frac{500}{40} \\\\Time = 12.5 \ hours[/tex]
A student uses the ratio of 4 oranges to 6 fluid ounces to
find the number of oranges needed to make 24 fluid
ounces of juice. The student writes this proportion:
4 24
616
Explain the error in the student's work.
A student uses the ratio of 4 oranges to 6 fluid ounces to find the number of oranges needed to make 24 fluid ounces of juice. The student writes the proportion:4/6=24/16
Miguel borrowed $1,800 for 2 years and ended up paying $180 in simple interest what was the interest rate
Answer: 103.534%
I used a calculator and everything
(x-2)(-5x^2+x)=(x)(-5x^2)+(x)(x)+(-2)(-5x^2)+(-2)(x) is an exsample of
this is an example of linear equations is one variable
Find the value of
[tex]3 \frac{1}{5} \div \frac{8}{20} [/tex]
Answer:
[tex]{ \bf{3 \frac{1}{5} \div \frac{8}{20} }} \\ = \frac{16}{5} \div \frac{8}{20} \\ { \boxed{ \tt{reciprocal \: of \: \frac{8}{20} = \frac{20}{8} }}} \\ \therefore \: = \frac{16}{5} \times \frac{20}{8} \\ = \frac{320}{40} \\ { \bf{ answer : 8}} \\ \\ {\underline{\tt {\blue{becker \: jnr}}}}
[/tex]
GIVING OUT BRAINLIEST PLUS 10 PTS
Answer:
Letter B
Step-by-step explanation:
I used a graphing calculator,
Hope this helps
Which angels are corresponding angles? Check all that apply
Answer:
Only A and B.
Step-by-step explanation:
Corresponding angles are angles in the same position and are the same size. The others are wrong as they are not the same sizes or are not the same
Expresa los siguientes números sin potencia de base 10
Answer:
no se guey..... pero gudluc
if 4,1,2 in middle is 21
if 2,1,4 in middle is 16
then 1,4,2 what is number in middle?
Answer:
5
Step-by-step explanation:
21-16=5
hope it helps!!
is this an Olympiad qn?
Exhibit 11-10 n = 81 s2 = 625 H0: σ2 = 500 Ha: σ2 ≠ 500 At 95% confidence, the null hypothesis _____. a. should not be rejected b. should be revised c. should be rejected d. None of these answers are correct
Answer:
Option C
Step-by-step explanation:
n = 81
s2 = 625
H0: σ2 = 500
Ha: σ2 ≠ 500
Test Statistics X^2 = (n-1)s^2/ σ2 = (81-1)*625/500
X^2 = 100
P value = 0.0646 for degree of freedom = 81-1 = 80
And X^2 = 100
At 95% confidence interval
Alpha = 0.05 , p value = 0.0646
p < alpha, we will reject the null hypothesis
At 95% confidence, the null hypothesis
Evaluate the function.
f(x)=2x^2+8x
Find f(−1)
PLease help!
a:-10
b:-6
c:6
d:10
Answer:b
Step-by-step explanation:
HELP I NEED TO PASS!!!!!
A. g(x) = 2x-1
B. g(x) = 2x + 1
C. g(x) = 2x –1
D. g(x) = 2x+1
