Answer:
D=1
Step-by-step explanation:
g(x)=x³-9x²+27x-25
g(2)=(2)³-9(2)²+27(2)-25
=8-36+54-25
=1
Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
6.5 cm
17.4 cm
14.6 cm
9.4 cm
Answer:
6.5cm)
Step-by-step explanation:
13.1 cm x 13.1 cm = 171.61
11.4 cm 11.4 cm = 129.96
171.61 - 129.96 = 41.65
Find the square root of 41.65.
41.65 = 6.4536811201050 x 6.4536811201050
Round 6.4536811201050.
x = 6.5cm
Note:
Pls let me know if my answer is incorrect, for the other users that will see this response. Thx!
-kiniwih426
the number of calls received by an office on Monday morning between 8:00am and 9:30 am has a mean of 3.Calculate the probability of getting no more than 3 calls between eight and nine in the morning.
Answer:
Step-bLet X be the number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM.
In mathematical terms,
X
∼
P
o
i
s
s
o
n
(
2
)
.
The PMF of the random variable X is given as,
P
(
X
=
x
)
=
e
−
2
×
2
x
x
!
f
o
r
x
=
0
,
1
,
2
,
.
.
.
.
.
=
0
E
l
s
e
w
h
e
r
e
The probability of getting no more than 3 calls between eight and nine in the morning is obtained by the following way,
P
(
X
≤
3
)
=
P
(
X
=
0
)
+
P
(
X
=
1
)
+
P
(
X
=
2
)
+
P
(
X
=
3
)
=
e
−
2
×
2
0
0
!
+
e
−
2
×
2
1
1
!
+
e
−
2
×
2
2
2
!
+
e
−
2
×
2
3
3
!
=
0
.13534
+
0
.27067
+
0
.27067
+
0
.18045
=
0
.85712
Hence the probability of getting no more than 3 calls between eight and nine in the morning is 0.85712.y-step explanation:
Can someone help me please???
Answer:
35,691
Step-by-step explanation:
First step, look at the diagram and you see that you have a sphere and a cone.
The total surface area of a sphere is
[tex]A = 4\pi r^{2} \\A = 4\pi 39^{2} \\A = 19,113[/tex]
Since you only have half of a sphere, the surface area is 9,556.5
The surface area of the cone is
[tex]A = pi r(r+\sqrt{h^{2}+r^{2} }) A = \pi39(39+\sqrt{42^{2} +39^{2} } \\A=11,800[/tex]
You don't need the bottom of the cone however as it is connected to the half sphere.
So substract the area of a circle with a radius of 39 from the product of 19,113 + 11,800
The area of the circle is 4,778
HELP ASAP
Distinguish whether the following expression has like terms and identify them. If it does, separate the like terms from the rest of the terms and organize the expression so that you can combine the like terms. Combine the like terms and write the word in simplest form. Show all of your work.
-3x3z2 + 2xz + 4x3z2 − 2x2z3
Answer:
sdfgfgav
Step-by-step explanation:
The graph shows the growth rate of a certain bacteria in a lab, where the number of bacteria depends on the number of hours since the start of the experiment.
Based on the graph, what is the approximate number of bacteria after 16 hours?
6 bacteria
8 bacteria
60 bacteria
80 bacteria
Answer:
The input for the method is a continuous function f, an interval [a, b], and the function values f(a) and f(b). The function values are of opposite sign (there is at least one zero crossing within the interval). Each iteration performs these steps: Calculate c, the midpoint of the interval, c = a + b2.
Step-by-step explanation:
---------------------------
Answer:
60 bacteria
Step-by-step explanation:
c on edge 2022
zeroes of polynomial p(x)=2x^2-9-3x are :
Answer:
x = - [tex]\frac{3}{2}[/tex], x = 3
Step-by-step explanation:
To find the zeros let p(x) = 0 , that is
2x² - 3x - 9 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 9 = - 18 and sum = - 3
The factors are - 6 and + 3
Use these factors to split the x- term
2x² - 6x + 3x - 9 = 0 ( factor the first/second and third/fourth terms)
2x(x - 3) + 3(x - 3) = 0 ← factor out (x - 3) from each term
(x - 3)(2x + 3) = 0
Equate each factor to zero and solve for x
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]
x - 3 = 0 ⇒ x = 3
3x=1/81 what is the value of x?
Answer:
hello
3x = 1/81
x = 1/ 81*3
x = 1/243
Step-by-step explanation:
Answer:
x=(1/81)/3
x=1/243
Step-by-step explanation:
16. Show your work and check your answer(s).
√2x-1+7=4
Answer
X=25
Step-by-step explanation:
Someone help me with this one
Answer:
p' (4,-2)
Step-by-step explanation:
P is at ( -1,5)
We are moving it 5 units to the right so add 5 to the x
We are moving it 7 units down so subtract 7 from the y
p'( -1+5, 5-7)
p' (4,-2)
What is 12 decreased by p?
Answer:
12 - p
Step-by-step explanation:
12 - p
My best friend gave me an Bicycle for free and it is fire and so i want to give him something to what should i give him??
Answer:
Something that's in your budget.
PLEASEEEEEEE HELPPPPPPPPPPPPPPPPPPPP
Answer:
Arranging : 9.2020 < 9.2200 < 9.2211 < 9.8000
Step-by-step explanation:
9.22 = 9.2200
9.202 = 9.2020
9.8 = 9.8000
9.2211 = 9.2211
Now compare the numbers in the tenths : except 3rd option ( 8 in the tenth place) everything has 2 in the tenths place.
Arranging : 9.2200, 9.2020, 9.2211, 9.800
So we take the next place, hundredths : Compare the number in hundredth place and tenth place and arrange. [ 22, 20, 80 , 22]
Arranging : 9.2020 , 9.2200, 9.2211, 9.8000
Now compare the numbers in tenths , hundredths and thousandth place :
[220, 202, 800, 221 ]
Arranging : 9.202, 9.220, 9.221, 9.800
Now compare all the four numbers and arrange :
[ 2200, 2020 , 8000, 2211 ]
Arranging : 9.2020 , 9.2200 , 9.2211 , 9.8000
CONTEST Each ple entered into the annual pie baking contest has been scored out of 10, as shown in the table.
Answer:
Of your choices, 87.5
Step-by-step explanation:
There may be a formula for figuring this out, but here's what I know how to do to solve this:
First we'll organize the data in ascending order:
3.9, 4.5, 5.7, 6.2, 7.4, 8.1, 8.4, 9.2
The median is (6.2 + 7.4)/2 = 6.8
The first quartile is (4.5 + 5.7)/2 = 5.1
The third quartile is (8.1 + 8.4)/2 = 8.25
So the 75th percentile is 8.25
Since 9.2 is higher than that, I'd choose 87.5
Mildred's pie scored at the 87.5 percentile.
What is a percentile?'A percentile is a measure used in statistics indicating the value below which a given percentage of observations in a group of observations fall.'
According to the given problem,
Organizing the data in ascending order:
3.9 < 4.5 < 5.7 < 6.2 < 7.4 < 8.1 < 8.4 < 9.2
Median of the given data = [tex]\frac{6.2+7.4}{2}[/tex]
= 6.8
First quartile = (4.5 + 5.7)/2
= 5.1
Third quartile = (8.1 + 8.4)/2
= 8.25
The third quartile is the 75th percentile,
⇒ 75th percentile = 8.25
Since, 9.2 > 8.25 , Mildred's pie scored at 87.5 percentile.
Hence, we can conclude, Mildred's pie scored at the 87.5 percentile.
Learn more about percentile here: https://brainly.com/question/1594020
#SPJ2
What's the relationship between y and x
Answer:
Step-by-step explanation:
The relationship between x and y is called a linear relationship because the points so plotted all lie on a single straight line. The number 95 in the equation y=95x+32 is the slope of the line, and measures its steepness.
hey what's the answer
Liliflim pls answer this if u know !
pls with full explanation
Answer:
I hope the above attachment helps you mate
Have a great day
[tex]#Liliflim[/tex]
Answer:
Solution given;
a⁴-23a²b²+b⁴
making in the form of a²+2ab+b²
a⁴+2a²b²+b⁴-2a²b²-23a²b²
(a²+b²)²-(5ab)²
factoring by using formula
x²-y²=(x+y)(x-y)
(a²+5ab+b²)(a²-5ab+b²)
Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for
recycling. Abha collected 178 more cans than Shane did.
Write an inequality to determine the number of cans, S, that Shane could have collected.
What is the solution set of the inequality?
Answer:
s + 178 = Abha's Can's
Step-by-step explanation:
Well since Abha collected 178 more cans than Shane, it would be Shane's amount of cans they collected AND 178 cans on top of that.
(i didnt know if you wanted the solution of s or just the equation on how to find s)
Help needed to solve this
Given:
The expression is:
[tex]\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^7+4a^3b^4}{b^8-a^8}[/tex]
To find:
The simplified form of the given expression
Solution:
Formula used:
[tex]x^2-y^2=(x-y)(x+y)[/tex]
We have,
[tex]\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^7+4a^3b^4}{b^8-a^8}[/tex]
It can be written as:
[tex]=\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^3(a^4+b^4)}{(b^4)^2-(a^4)^2}[/tex]
[tex]=\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^3(a^4+b^4)}{(b^4-a^4)(b^4+a^4)}[/tex]
[tex]=\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^3}{(b^2-a^2)(b^2+a^2)}[/tex]
[tex]=\dfrac{1}{a+b}+\dfrac{2a}{a^2+b^2}+\dfrac{4a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]
Taking LCM, we get
[tex]=\dfrac{1(b-a)(b^2+a^2)+2a(b-a)(b+a)+4a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]
[tex]=\dfrac{b^3+a^2b-ab^2-a^3+2a(b^2-a^2)+4a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]
[tex]=\dfrac{b^3+a^2b-ab^2-a^3+2ab^2-2a^3+4a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]
[tex]=\dfrac{b^3+a^2b+ab^2+a^3}{(b-a)(b+a)(b^2+a^2)}[/tex]
Using the grouping method factories the numerator.
[tex]=\dfrac{b(b^2+a^2)+a(b^2+a^2)}{(b-a)(b+a)(b^2+a^2)}[/tex]
[tex]=\dfrac{(b+a)(b^2+a^2)}{(b-a)(b+a)(b^2+a^2)}[/tex]
Cancel out the common factors.
[tex]=\dfrac{1}{b-a}[/tex]
Therefore, the value of the given expression is [tex]\dfrac{1}{b-a}[/tex].
Point O is the center of dilation. Triangle D E F is dilated to create smaller triangle D prime E prime F prime. The length of O F prime is 3. The length of F prime F is 7. What is the scale factor of the dilation of triangle DEF?
===============================================
Work Shown:
k = scale factor
k = (OF ')/(OF)
k = (OF ')/(OF ' + F ' F)
k = (3)/(3 + 10)
k = 3/13
The scale factor of the dilation of triangle DEF is 3/10.
What is Dilation?The technique of dilation is used to enlarge or reduce the size of the things. This transformation produces an image that resembles the original shape and is identical to the image.
We have a triangle DEF is dilated to smaller triangle D'E'F' .
As, the length of OF' = 3 and F'F = 7.
So, the scale factor of dilation is
OF' / OF = 3 / 10.
Thus, the scale factor is 3/10.
Learn more about Dilation here:
https://brainly.in/question/30389359
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*SHOW STEPS PLEASE* You can verify the zeros of the function y=x^2+6x-7 by using a graph and finding where the graph ________
a) is at a maximum.
b) is at a minimum.
c) crosses the y-axis.
d) crosses the x-axis
Gabe went to the florida mall. He bought k model planes and spent 24 on books.Then he another 25 at another store
Answer:
[tex]Amount = 49 + 14.99k[/tex]
Step-by-step explanation:
Given
[tex]Books = 24[/tex]
[tex]Another\ Store = 25[/tex]
[tex]Model = k[/tex]
Cost of [tex]Model = 14.99[/tex] --- Missing from the question
Required
Represent the amount spent
The amount is calculated as:
[tex]Amount = Books + Another\ Store + Model * Cost[/tex]
[tex]Amount = 25 + 24 + k * 14.99[/tex]
[tex]Amount = 49 + 14.99k[/tex]
Choose the appropriate value for LR for the following similar triangles given below.
A. 18
B. 20
C. 12
D. 14
which recursive formula can be used to represent the sequence 2,4,6,8,10.... ?
a
b
c
or d
Step-by-step explanation:
the (A) formula is preferable to use and is the correct one
what is 2(j-4)>=-6? solve the inequality for j
Answer:
J >= 1 or j is greater than or equal to 1
Step-by-step explanation:
Write equation:
2(j-4)>= -6
1. Distribute:
2j - 8 >= -6
2. Add 8 on both sides:
2j -8 +8 >= -6 + 8
2j >= 2
3. Divide 2 on both sides:
2j/2 >= 2/2
j >= 1
There ya go! Hope this helps, have a good night or day! ;)
Quadrilateral QRST is inscribed in the circle. Find the measurements of each of the angles in Quadrilateral QRST. Show your work. (x-6) (x+12) (x-4)
Answer:
Given- O is the centre of a circle in which an equilateral ΔPQR has been inscribed.
To find out- ∠QOR=?
Solution- The points P, Q & R are on the circumference of the circle since ΔPQR has been inscribed in the circle. Now the chord QR subtends ∠QOR to the centre O and ∠QPR to the circumference at P.
∴ By rule, ∠QOR=2∠QPR.........(i).
Now PQR is an equilateral Δ. Each of its angle is 60
o
. i.e ∠QPR=60
o
.
So, from (i), ∠QOR=2∠QPR=2×60
o
=120
o
.
Ans- Option B.
solution
Please help will give reward!
A student ran out of time on a multiple choice exam and randomly guessed the answers for two problems. Each problem had 4 answer choices - a, b, c, d - and
only one correct answer. What is the probability that she answered neither of the problems correctly?
Write your answer as a fraction in simplest forme
Answer:
3/4
Step-by-step explanation:
2 problems consist 8 choices of answers.
the events for the correct answer are 2
and the events for incorrect answer are 6
so, the probability that she answered neither of the problems correctly = 6/8 = 3/4
the value of 16*2-3+14/7
Answer:
31
Step-by-step explanation:
1)32−3+14/7
2)29+14/7
3)29+2
4) 31
If f(x) = 4x + 5,, determine f(-2).
a. -7/4
b. 13
c. -3
d. 7
Answer:
C
Step-by-step explanation:
f(-2) = 4(-2) + 5
f(-2) = -8 + 5
f(-2) = -3
Answer:
-3
Step-by-step explanation:
f(x) = 4x + 5
Let x = -2
f(-2) = 4(-2) + 5
=-8+5
-3
7th grade Girl!
*urgent, pls pls pls help!* :(
(in the screenshot above. pleaseeeee! i’m desperate ahhhh :( )
Jason wants to know the percentage of M & M's that are green. He chooses a sample of 30 M & M's from a bag, and 3 of them are green. What is the margin of error of his experiment (round to 4 decimal places)? .1074 .1074 .9845 .9845 .1235 .1235 .8824
Answer:
The margin of error of his experiment is of 0.1074.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
30 M & M's from a bag, and 3 of them are green.
This means that [tex]n = 30, \pi = \frac{3}{30} = 0.1[/tex]
Standard 95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
Margin of error:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]M = 1.96\sqrt{\frac{0.1*0.9}{30}}[/tex]
[tex]M = 0.1074[/tex]
The margin of error of his experiment is of 0.1074.
HELP PLEASE QUICK
Suppose the function f(x) is replaced with g(x) = f(x – 5). How does the graph of g(x) compare to the graph of f(x)?
A. The graphs are the same.
B. The graph is translated 5 units down.
C. The graph is translated 5 units to the left.
D. The graph is translated 5 units to the right.
Answer:
translated 5 units to the right
Step-by-step explanation: