Answer:
27
32
27
Step-by-step explanation:
1) limit x->2 1/3[f(x)]^2= 27
2) limit x->2 3f(x)+5= 32
3) limit x->2 [f(x)]3/2= 27/2
What is limit?"A limit is the value that a function approaches as the input approaches some value."
Limit properties:If limit f(x) = m and constant 'a',
limit a (f(x)) = a × m
limit (f(x))^n = (m)^n
limit (a) = a
limit (f(x) + a) = m + a
Given: limit x->2 f(x)=9.
We need to evaluate each limit.
1) limit x->2 1/3[f(x)]^2
⇒ [tex]\lim_{x \to 2} \frac{1}{3} (f(x))^2[/tex]
= [tex]\frac{1}{3} \lim_{x \to 2} (f(x))^2[/tex]
= [tex]\frac{1}{3} (\lim_{x \to 2} f(x))^2[/tex]
= [tex]\frac{1}{3} \times (9)^2[/tex]
= [tex]\frac{81}{3}[/tex]
= 27
2) limit x->2 3f(x)+5
⇒ [tex]\lim_{x \to 2} (3f(x)+5)[/tex]
= [tex]\lim_{x \to 2} 3f(x)+ \lim_{x \to 2} 5[/tex]
= [tex]3\lim_{x \to 2} f(x) + 5[/tex]
= [tex](3 \times 9)+5[/tex]
=[tex]\bold{32}[/tex]
3) limit x->2 [f(x)]3/2
⇒ [tex]\lim_{x \to 2} (f(x))\frac{3}{2}[/tex]
= [tex]\frac{3}{2} \times (\lim_{x \to 2} f(x))[/tex]
= [tex]\frac{3}{2} \times 9[/tex]
= 27/2
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make a flow chart showing that the two triangles are congruent. NO LINKS!
Answer:
Step-by-step explanation:
I take it the unmarked angle on the top triangle should be Q
The way the triangles are marked the following are the statements.
<Q = < X Given
RQ = XZ Given
XY = PQ Given
Is the angle included between the two given sides?
If yes then the Two Triangles are congruent by SAS
If no then the Two Triangles cannot be conclusively known to be congruent.
I have to leave you to figure out the flow chart symbols. I have no way of showing this as a flow chart if it is a computer program flow chart.
Right Triangles
Solve the right triangle shown in the figure
∠C = 90°, BC = 7.50mi, AC = 11.43mi
a. AB = 19.5mi, ∠A = 31.2°, ∠B = 58.8°
b. AB = 16.mi, ∠A = 35.2°, ∠B = 54.8°
c. AB = 13.7mi, ∠A = 33.3°, ∠B = 56.7°
d. No triangle satisfies the given conditions.
Please select the best answer from the choices provided
Answer:
C. AB = 13.7mi, ∠A = 33.3°, ∠B = 56.7°
Step-by-step explanation:
I calculated it logically
Are the polynomial functions even or odd ?
If you mirror the graph along the x axis and it lies on itself ( mirror image) it is even, if not it is odd.
If you mirror the top graph the high/ low points would be opposite so the top graph is odd
The bottoms graph can be mirrored so the bottom graph is even.
what is 75 as a fraction of 125? give your answer in its simplest form.
75 as a fraction of 125 would be 75/125
Now Lets simplify
75/25=3
125/25=5
We get 3/5
We can not reduce 3/5 anymore, so the answer is 3/5
A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25. 75 is 3/5 fraction of 125.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Let 75 be x fraction of 125. Therefore, we can write the statement as,
x × 125 = 75
x = 75/125
x = 3 /5
Hence, 75 is 3/5 fraction of 125.
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Anthony surveys a group of students at his school about whether they play a
sport. This table shows the results broken down by gender.
Play a sport
Total
Do not play a
sport
105
70
175
Boys
Girls
75
50
125
Total
180
120
300
Are being a girl and playing a sport Independent events? Why or why not?
O A. Yes, they are independent, because P(girl) = 0.58 and Pgirl plays
a sport) = 0.6.
O B. Yes, they are independent, because (girl) = 0.42 and girl plays
a sport) - 0.42
O c. No, they are not independent, because P(girl) = 0.42 and
P(girl plays a sport) = 0.42.
D. Yes, they are independent, because (girl) = 0.58 and P(girl plays
a sport) = 0.58
Answer:
A is the answer it sounds more likely
For given data, being a girl and playing a sport are independent events as P(girl) = P(girl plays a sport) = 0.4.
What are independent events?"These are the events whose occurrence is not dependent on any other event.""When the probability of occurrence of an event A is not affected by the occurrence of another event B, then event A and event B are independent events."Formula for probability of independent events:"If A and B are independent events then, P(A∩B) = P(A).P(B)"
What is probability?"It is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.
For given question,
We have been given a table that shows the results broken down by gender.
Play sports Do not play sports Total
Boy 105 75 180
Girl 70 50 120
Total 175 125 300
Using the definition of probability:
⇒ P(girl) = Number of girls/ Number of students
⇒ P(girl) = 120/300
⇒ P(girl) = 0.4 ....................(1)
Now we find the probability of girls that play a sport.
Using the definition of probability:
P(girl plays a sport)
= Number of girls who plays a sport/ number of students who plays a sport
= 70/ 175
= 0.4 ......................(2)
From (1) and (2),
P(girl) = P(girl plays a sport)
Thus, being a girl and playing a sport are Independent events.
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Find the area of OP. Leave your answer in terms of .
A. 14 cm2
B. 77 cm2
C. 147 cm2
D. 497 cm2
Answer:
D. 49
Step-by-step explanation:
The area of a circle is pi times the radius squared (A = pi r^2).
so putting in your numbers given you get 7^2
which equals 49
Find the volume of the
triangular prism.
3.2 cm
9 cm
4.8 cm
Answer:
53.76 cm3
Step-By-Step Explanation
If a =5 and b=3 what is the value of the 2a-3b+3a
Answer:
If a = 5 and b = 3, then that means 2a - 3b + 3a = 16
Step-by-step explanation:
2a - 3b + 3a
(2×5) - (3×3) + (3×5)
10 - 9 + 15 = 16
Gun rights vs. gun control: In a December 2014 report, "For the first time in more than two decades of Pew Research Center surveys, there is more support for gun rights than gun control." According to a Pew Research survey, 52% of Americans say that protecting gun rights is more important than controlling gun ownership. Gun rights advocates in a conservative city believe that the percentage is higher among city residents.
They survey 200 city residents and find that 130 say that protecting gun rights is more important than controlling gun ownership. What is the test statistic?
Z = -3.68
Z = 3.68
Z = -3.85
Z = 3.85
Answer:
The right answer is "z = 3.68".
Step-by-step explanation:
Given that,
p = 52%
or,
= 0.52
n = 200
[tex]\hat{p}= \frac{130}{200}[/tex]
[tex]= 0.65[/tex]
Now
The test statistic will be:
⇒ [tex]z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]
On substituting all the given values, we get
⇒ [tex]=\frac{0.65-0.52}{\sqrt{\frac{0.52(1-0.52)}{200} } }[/tex]
⇒ [tex]=\frac{0.13}\sqrt{{\frac{0.52\times 0.48}{200} }}[/tex]
⇒ [tex]=\frac{0.13}{\sqrt{0.001248} }[/tex]
⇒ [tex]=3.68[/tex]
Which of the following would be in the solution set for x < 4
Group of answer choices
4
-4
4.2
4.002
Answer:
- 4
Step-by-step explanation:
The set of all possible value that would make the above statement true must be less than 4.
Therefore the only option we have is -4
Rewrite the function f(x)=-4(x+3)2 – 2 in the form f(x) = ax²+bx+c.
음
Х
?
Recheck
Try again
Answer:
f(x) = -4x² - 24x - 38
Step-by-step explanation:
f(x )= -4(x + 3)² – 2
Expand the squared term
f(x) = -4 (x² + 6x + 9) - 2
Distribute the -4
f(x) = (-4x² - 24x - 36) - 2
Combine like terms
f(x) = -4x² - 24x - 38
URGENT PLZ HELP
use the graph to write an equation of the line
HELP ME PLEASEEEEEEEEEEEE
Answer:
1080 in^2
Step-by-step explanation:
Answer:
180 in^2
Step-by-step explanation:
A 12" wide by 30" flag has the area A = (1/2)(base)(height) square inches, or 180 square inches.
nana has a water purifier that filters 1/3 of the contaminates each hour
Please help this is very important to my grade
Answer:
3, 6, 2.7( The is one I cannot see cuz of glare)
Step-by-step explanation:
Give a brief interpretation of your results in the context of this problem.
A. The probability that this interval contains the true average weight of Allen's hummingbirds is 0.80.
B. The probability that this interval contains the true average weight of Allen's hummingbirds is 0.20.
C. The probability to the true average weight of Allen's hummingbirds is equal to the sample mean.
D. There is a 20% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
E. There is an 80% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
Answer:
E. There is an 80% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
Step-by-step explanation:
The correct option is - E. There is an 80% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
Solve for x.
x + 14
5x - 74
x = [?]
Answer:
[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]
x + 14 = 5x - 74 (corresponding angles are equal to each other)
[tex]x + 14 = 5x - 74 \\ 14 + 74 = 5x - x \\ 88 = 4x \\ \frac{88}{4} = x \\ 22 = x[/tex]
Answer:
22
Step-by-step explanation:
Angles x + 14 and 5x - 74 are adjacent angles.
Adjacent angles are equal.
5x - 74 = x + 14
5x - x = 14 + 74
4x = 88
x = 88 / 4
x = 22
What is the equation of a circle with center (-2,3) and radius 4?
A. (x + 2)^2 +(y-3)^2 = 4
B. (x-2)^2 +(y +3)^2= 16
C. (x + 2)^2 + (y - 3)^2 = 16
D. (x+2)^2- (y - 3)^2 - 16
Solve for 44.
4 4 = [?]
510
51
44/42
Angle 4 is an exterior angle which is equal to the sum of the two opposite inside angles.
The two opposite inside angles are given as 51 and 51
Angle 3 = 51 + 51 = 102 degrees.
Answer:
[tex] \displaystyle \angle4 = {108}^{ \circ} [/tex]
Step-by-step explanation:
the sum of the interior angles of a triangle is 180°
thus our equation is
[tex] \displaystyle {51}^{ \circ} + {51}^{ \circ} + \angle2 = {180}^{ \circ} [/tex]
simplify addition:
[tex] \displaystyle {102}^{ \circ} + \angle2 = {180}^{ \circ} [/tex]
cancel 102° from both sides:
[tex] \displaystyle \angle2 = {72}^{ \circ} \cdots \text{I}[/tex]
By straight line theorem we acquire:
[tex] \displaystyle \angle4 + \angle2 = {180}^{ \circ} [/tex]
substitute:
[tex] \displaystyle \angle4 + {72}^{ \circ} = {180}^{ \circ} [/tex]
cancel 72° from both sides:
[tex] \displaystyle \angle4 = {108}^{ \circ} [/tex]
hence, the measure of [tex]\angle 4[/tex] is 108°
5x - 2y = 15
2x + 4y = 12
Select the solution to the system from the options below:
Answer:
7/2, 5/4
Step-by-step explanation:
Answer:
x = 7/2 and y = 5/4
Step-by-step explanation:
2(5x - 2y = 15)
2x + 4y = 12
10x - 4y = 30
2x + 4y = 12 (add)
-----------------
12x = 42
x = [tex]\frac{42}{12}[/tex] = [tex]\frac{7}{2}[/tex]
2x + 4y = 12 (subsitute)
2([tex]\frac{7}{2}[/tex]) + 4y = 12
7 + 4y = 12
4y = 5
y = [tex]\frac{5}{4}[/tex]
If F(x) = +4, which of the following is the inverse of Fx)?
O A. F^1(x) = 2(x-4)
O B. F^1(x) = 7(x+4)
O C.F^1(x) = 7(x-4)
D. F1(x) = 2(x+4)
Answer:
[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{2x}{7} + 4[/tex]
Required
The inverse function
[tex]f(x) = \frac{2x}{7} + 4[/tex]
Replace f(x) with y
[tex]y = \frac{2x}{7} + 4[/tex]
Swap x and y
[tex]x = \frac{2y}{7} + 4[/tex]
Multiply through by 7
[tex]7x = 2y + 28[/tex]
Solve for 2y
[tex]2y = 7x - 28[/tex]
Solve for y
[tex]y = \frac{ 7x-28}{2}[/tex]
Factorize
[tex]y = \frac{ 7(x-4)}{2}[/tex]
Write as:
[tex]f^{-1} = \frac{ 7(x-4)}{2}[/tex]
PLEASE HELP
3/4M -12 but m = 32
Answer:
Replace the variable m with 32
in the expression.
3/4⋅(32)−12 Simplify each term.
24−12 Subtract 12 from 24.
12
Step-by-step explanation:
⊙O and ⊙P are given with centers (−2, 7) and (12, −1) and radii of lengths 5 and 12, respectively. Using similarity transformations on ⊙O, prove that ⊙O and ⊙P are similar.
Answer:
Whereby circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying the transformations of a translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P
Step-by-step explanation:
The given center of the circle [tex]\bigodot[/tex]O = (-2, 7)
The radius of [tex]\bigodot[/tex]O, r₁ = 5
The given center of the circle [tex]\bigodot[/tex]P = (12, -1)
The radius of [tex]\bigodot[/tex]P, r₂ = 12
The similarity transformation to prove that [tex]\bigodot[/tex]O and [tex]\bigodot[/tex]P are similar are;
a) Move circle [tex]\bigodot[/tex]O 14 units to the right and 8 units down to the point (12, -1)
b) Apply a scale of S.F. = r₂/r₁ = 12/5 = 2.4
Therefore, the radius of circle [tex]\bigodot[/tex]O is increased by 2.4
We then obtain [tex]\bigodot[/tex]O' with center at (12, -1) and radius r₃ = 2.4×5 = 12 which has the same center and radius as circle [tex]\bigodot[/tex]P
∴ Circle [tex]\bigodot[/tex]P can be obtained from circle [tex]\bigodot[/tex]O by applying similarity transformation of translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4, [tex]\bigodot[/tex]O is similar to [tex]\bigodot[/tex]P.
Kasey has been mowing lawns to save up money for a concert. He earns $15 per hour and needs at least $90 to go to the concert. How many hours should he mow? Write an inequality (with variable) to solve it.
Answer:
he makes 15 dollars in an hr, so find how much 15 dollars goes into 90. 90 divide 15 = 6. therfore, kasey needs to work for 6 hours to make 90 dollars
Plz help me well mark brainliest if correct!!...
9514 1404 393
Answer:
B) fifth grade boys
Step-by-step explanation:
55 tickets is halfway between the lines marked 50 tickets and 60 tickets. The bar that comes closest to that value is the right-most green bar, representing ...
fifth-grade boys
The table shows the number of hours Marcus worked each week and his pay for the week. How much did Marcus earn per hour?
Answer:
$8.5 per hours
Step-by-step explanation:
102/12=8.5
119/14=8.5
136/16=8.5
153/18=8.5
Answer:
8.5
Step-by-step explanation:
102/12=8.5
119/14=8.5
136/16=8.5
153/18=8.5
Justin has a 2pound bag of Lima beans that he want to divide between 3families.how many pound of Lima beans should each family's receives? A. 3/2 pound b.2/3 c.2 1/3 pound d.3 1/3 pounds
Answer:
2/3 pounds of lima beans
Step-by-step explanation:
2 divided by 3 = 2/3 = 2/3
Hope this helps!
Answer:
2/3 pounds (Option B)
Step-by-step explanation:
Using unitary method ,
3 families will receive = 2 pounds of lima beans.
(Dividing both the sides by 3)
⇒ [tex]\frac{3}{3}[/tex] family will receive = [tex]\frac{2}{3}[/tex] pounds of lima beans
⇒ 1 family will receive = [tex]\frac{2}{3}[/tex] pounds of lima beans.
∴ Each family will receive 2/3 pounds of lima beans.
A regression analysis was performed to determine the relationship between the costs of a product (y), the time to make the product (x1 ), the number of different materials used (x2), and the amount spent on marketing the product (x3). The estimated regression equation is ŷ = 83- 2x1+ 6x2 + 1.1x3.
What is the estimated cost if the time to make the product is 5 hours, the number of different materials used is 4, and the amount spent on marketing is $100?
a. 83
b. 213
c. 185.4
d. 205.
Answer:
D) 205
Step-by-step explanation:
Given : Cost = 83 - 2 (time taken) + 6 (materials) + 1.1 (marketing cost)
Relationship Equation : y = 83- 2x1+ 6x2 + 1.1x3
Given, time (x1) = 5 , materials (x2) = 4 , marketing cost (x3) = 100
So, putting values, Cost : y = 83 - 2 (5) + 6 (4) + 1.1 (100)
= 83 - 10 + 24 + 110 = 207
The closest to this calculated estimated figure ie 207, is 205.
44 points
No links, No silly answers, only thought-out answers.
Simplify the expression.
16(12x)4
The simplified expression is______________.
Please answer with No links, No silly answers, only thought-out answers by 7:30, and it will increase the chance of me not reporting you and picking you as brain list
Answer:
I believe the answer is 64 x 12x
Step-by-step explanation:
16(12x)4 =
16 x 4(12x)
64 x 12x
-4(y - 2) = 12
y = ?
Answer:
Hello! answer: -1
Hope that helps!