Answer:
Yes
Step-by-step explanation:
Angle sum property=180°
The first triangle = 105°+40° = 145°= 180-145=35
The second triangle = 105°+35°=140°=180-140=40
So both are same
Try to find the third angle in both triangles and if the angles of both triangles are same, it means the triangles are similar
Simplify 8u + 9 + 3u-50 o 110 + 14V O 5u+ 4v 110 + 4 0 150
Answer:
70uv+11u+440v-5491
Step-by-step explanation:
combine the like terms (if this is wrong i apologize, the circles threw me off as multiplication symbols so thats what i did)
can you please answer the question
Answer: maybe 1 ♀️
Step-by-step explanation:
Find the slope of that passes through (5,2) and (8, 9)
Answer:
slope = \(\frac{7}{3}\)
Step-by-step explanation:
calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (5, 2 ) and (x₂, y₂ ) = (8, 9 )
m = \(\frac{9-2}{8-5}\) = \(\frac{7}{3}\)
What is the slope of the line in this picture?
The number has over positive integer divisors. One of them is chosen at random. What is the probability that it is odd
The number has over positive integer divisors. One of them is chosen at random. If each divisor has the same probability, then the likelihood that a random one will be odd is precisely 1/19. This assumes that all divisors have the same probability. This is further explained below.
What is the probability that it is odd?Generally, The possibility of an occurrence may be quantified using the concept of probability. There are many occurrences that cannot be foreseen with complete accuracy.
In conclusion, The number may be divided into more than positive integers. A selection is made at random from among them. If each divisor has the same probability, then the chance that a random one would be odd is exactly 1/19. This assumes that each divisor has the same probability. This makes the assumption that the probability of each divisor is the same.
Read more about probability
https://brainly.com/question/11234923
#SPJ1
given the equation 5x+23=-2x-12, which order of operations completely solves for x
Answer:
x = - 5
Step-by-step explanation:
5x + 23 = - 2x - 12 ( add 2x to both sides )
7x + 23 = - 12 ( subtract 23 from both sides )
7x = - 35 ( divide both sides by 7 )
x = - 5
What is the probability that either event will occur?
15
A
17
B
2
P(A or B) = P(A) + P(B)
P(A or B) = [?]
The probability that either event will occur is 0.83
What is the probability that either event will occur?From the question, we have the following parameters that can be used in our computation:
Event A = 18
Event B = 12
Other Events = 6
Using the above as a guide, we have the following:
Total = A + B + C
So, we have
Total = 18 + 12 + 6
Evaluate
Total = 36
So, we have
P(A) = 18/36
P(B) = 12/36
For either events, we have
P(A or B) = 30/36 = 0.83
Hence, the probability that either event will occur is 0.83
Read more about probability at
brainly.com/question/251701
#SPJ1
What is the most important statistic that is obtained through nasometry? a. Threshold percentage b. Maximum percentage c. Mean nasalance score d. Fundamental frequency e. Range
The most important statistic that is obtained through nasometry is the mean nasalance score. Nasometry is a measure of nasalance, which refers to the amount of sound energy that is transmitted through the nose during speech production.
This measure is obtained by comparing the acoustic energy of the sound produced by the mouth and the sound produced by the nose. The mean nasalance score provides information about the average amount of nasality in a person's speech, which can be useful in diagnosing and treating speech disorders such as cleft palate or velopharyngeal insufficiency. The other terms mentioned, such as fundamental frequency and range, are not directly related to nasometry or nasalance.
To learn more about Fundamental - brainly.com/question/31314205
#SPJ11
Does the equation y = 2(x - 1) represent a linear function?
Answer:
yes
Step-by-step explanation:
after you distribute you get:
y = 2x - 2
this is a linear function that crosses the y-axis at -2 and has a slope of 2
ANSWER ASAP PLEASE! (PICTURE INCLUDED)
Answer:
12
Step-by-step explanation:
cylinder a has a radius of 10 inches and a height of 5 inches. cylinder b has a volume of 750π. what is the percentage change in volume from cylinder a to cylinder b?
There is 50% increase in the change in the volume of cylinder A to A
The formula for the volume of the cylinder is given as
V = Πr^2h (1)
Where, r = radius of the cylinder
h = height of the cylinder
We have been given the radius and height of cylinder A which are,
r = 10 inches
h = 5 inches
Now putting the required values in equation (1) we get
V = Π(10)^2(5) cubic inches
V = Π*100*5 cubic inches
V = 500Π cubic inches
We have also been given the volume of cylinder B = 750Π
Thus percentage change in volume of cylinder = (750Π - 500Π)/500Π * 100
= 50%
Hence there is 50% increase in the change of the volume from cylinder A to B
Learn more about volume of cylinder here : https://brainly.com/question/9554871
#SPJ4
How do you recognize a geometric sequence? Can you find terms within a geometric sequence using a formula?
Answer:
See step by step explanation
Step-by-step explanation:
To reconize a geometric sequence, the factor at which one number is greater than the previous number should always be the same
For example,
2,4,8,16,32,64,128,256,512,1024 is a geometric sequence since the next number is always greater than the previous number by a factor of 2
to find the n-th term in a sequence, we can use a formula.
Going back to the example, let's label each number with a term
to find the nth term of this specific sequence, we need to find two things
the first number of the sequence, and the factor at which this sequence increases at
the first number is 2, so n1 = 2
each term increases by a factor of 2 (2*2=4, 4*2=8, 8*2=16, 16*2=32, 32*2=64), so the factor is 2
the equation is:
(the initial term)*(the factor)^(the term number - 1)
so,
\(2*2^{n-1}\) is our equation
We can check our equation by plugging in a number
looking back at our list, we see that the 7th term is 128
plug in 7 into out equation
\(2*2^{7-1}=2*2^6=2^1*2^6=2^7=128\), so our equation works
Here's a practice problem
for the sequence 3,9,27,81,243,729, what is the factor which the sequence increases at? what's the initial number? what's the equation for this sequence?
a harder practice problem:
for the sequence 2,6,18,54,162,486, what is the factor at which the sequence increases at? what's the intitial number? what's the equation for this sequence? what's the 8th term of this sequence if it were to be continued?
Yes we can
the formula given to find the terms is
a_n=ar^n-1Where
a_n is n the terma is first termr is common ration is an positive integerSolve for x:
1/4 |x + 1| ≥ 4
Please show how its done
Answer:
x ≤ - 17 or x ≥ 15
Step-by-step explanation:
\(\frac{1}{4}\) | x + 1 | ≥ 4 ( multiply both sides by 4 to clear the fraction )
| x + 1 | ≥ 16
Inequalities of the type | ax + b | ≥ c , have solutions of the form
ax + b ≤ - c or ax + b ≥ c , then
x + 1 ≤ - 16 ( subtract 1 from both sides )
x ≤ - 17
or
x + 1 ≥ 16 ( subtract 1 from both sides )
x ≥ 15
solution is x ≤ - 17 or x ≥ 16
A 8 ft tall tent standing next to a bird bath casts a 18 ft shadow. If the bird bath is 4 ft tall then how long is its shadow?
n is a whole number such that 6< 3n < 15 List all the possible values of n.
Answer:
3, 4
Step-by-step explanation:
6 < 3n < 15
Divide the three "sides" by 3.
2 < n < 5
n must be between 2 and 5,a nd it must be a whole number.
n can be 3 or 4
Answer:
n= 3, and n=4
Step-by-step explanation:
whole numbers are : 0,1,2,3,4,5,....
6 < 3n < 15
(3n has to be greater than 6 and less than 15 not including 6 and 15)
for n=3 we have 3n =9
for n=4 we have 3n= 12
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.
nequals=7
pequals=0.65 xequals=6
(Do not round until the final answer. Then round to four decimal places as needed.)
The probability of 6 successes in 7 independent trials with a probability of success 0.65 is 0.3052.
Using the binomial probability formula, the probability of x successes in n independent trials with a probability of success p can be calculated as:
P(x) = (n choose x) * p^x * (1-p)^(n-x)
where "n choose x" represents the number of ways to choose x items from a set of n items, and is calculated as:
(n choose x) = n! / (x! * (n-x)!)
So, for the given parameters nequals=7, pequals=0.65, xequals=6, we have:
P(6) = (7 choose 6) * 0.65^6 * (1-0.65)^(7-6)
= 7 * 0.65^6 * 0.35^1
= 0.3052
Therefore, the probability of 6 successes in 7 independent trials with a probability of success 0.65 is 0.3052.
Visit to know more about Probability :-
brainly.com/question/13604758
#SPJ11
Convert Binary To Hexadecimal 100110100112
a. 24C9
b. A17
c. 2633
d. 4D3
Therefore, the correct option is (c) 2633.
Binary and Hexadecimal are systems used for representing numbers. Binary represents numbers using only two digits, 0 and 1, while Hexadecimal represents numbers using 16 digits, 0-9 and A-F.
To convert Binary to Hexadecimal, the Binary number is split into groups of 4 starting from the right and each group is converted to its corresponding Hexadecimal value.
If there are any remaining digits not in a group of 4, zeros are added to the left to complete the group.
Let's convert the Binary number 10011010011 to Hexadecimal:1001 1010 011
This is grouped into 3 groups of 4 and a leading zero is added to the left of the first group to make it a complete group of 4.0001 0011 0100 1101Each group is then converted to its corresponding Hexadecimal value: 1 3 4 D
The final answer is the combination of all the hexadecimal values in the same order as the binary groups they represent: 134D
To know more about Hexadecimal visit:
https://brainly.com/question/28875438
#SPJ11
Bridgette has already taken 7 pictures at home ,and she expects to take 1 picture during everyday of vacation. How many days will Bridgette have to spend on vacation before she will have taken 9 pictures?
Answer:
I believe she would have to spend 2 days on vacation.
Step-by-step explanation:
She already have 7 pictures and she takes 1 a day. Therefore, she would have to spend 2 days on vacation to get 9 pictures.
Standard Form to Scientific Notation:
5.8 x 107 =
Answer:
just move the decimal a 107 times and add 0's
Step-by-step explanation:
find the geometric mean of 2 and 22
6.63324958071 is the mean of 2 and
Answer:
2 sqrt(11)
Step-by-step explanation:
To find the geometric mean of two numbers, take the square root
sqrt( 2*22)
sqrt(44)
sqrt(4*11)
2 sqrt(11)
Find the range of the function y=-x^2-3x when the domain is {-5,0,2}
Answer: \(\{-10, 0 \}\)
Step-by-step explanation:
The range is the set of output values for the domain (the set of inputs).
When x=-5, y=\(-(-5)^{2}-3(-5)=-10\).When x=0, \(y=-0^{2}-3(0)=0\).When x=2, \(y=-2^{2}-3(2)=-10\)So, the range is \(\boxed{\{-10, 0 \}}\)
Please Help
What does the missing angle in the triangle measure?
Answer:
x = 60
Step-by-step explanation:
The sum of the angles of a triangle is 180
95+25 +x = 180
120 +x = 180
Subtract 120 from each side
120+x-120 = 180-120
x = 60
What is the distance, in units, between J=(6,1) and K=(6,−7)?
Answer:
-8
Step-by-step explanation:
Eva has some money in her wallet. She spent $18.62 buying groceries and had $43.55 left. How much money did she have in her wallet before she bought the groceries? *
$20.48
$62.17
$35.93
$62.10
Answer:
Step-by-step explanation:
62.17
-6 ( x – 8) = 60
can you explain it step by step for me
Answer:
-2
Step-by-step explanation:
-6(x-8)=60
x-8=60/-6
x-8=-10
x=-10+8
x=-2
Just deposits $2800 at 6.45% interest compounded weekly. What will be his ending balance after 10 years? Round to the neatest penny??
Answer:
6,52
Step-by-step explanation:
The Balmer series requires that nf=2. The first line in the series is taken to be for ni=3, and so the second would have ni=4. Question 5: The Balmer series requires that nf=2. The first line in the series is taken to be for ni=3, and so the second would have ni=4. Page 6 of 10
The Balmer series, the second line would have ni = 4, indicating that the electron transitions from the fourth energy level to the second energy level.
The Balmer series is a series of spectral lines in the emission spectrum of hydrogen. It corresponds to transitions of electrons in hydrogen atoms from higher energy levels (initial states) to the second energy level (final state) with nf = 2.
In the Balmer series, the first line is associated with an initial energy level ni = 3. This means that the electron starts in the third energy level and transitions to the second energy level (nf = 2). Each line in the series corresponds to a different transition between energy levels.
Based on this information, the second line in the Balmer series would correspond to a transition where the electron starts from the fourth energy level (ni = 4) and ends up in the second energy level (nf = 2). This transition represents a higher energy change compared to the first line in the series.
Therefore, for the Balmer series, the second line would have ni = 4, indicating that the electron transitions from the fourth energy level to the second energy level.
Learn more about energy here
https://brainly.com/question/2292202
#SPJ11
consider a pair of infinite concentric cylinders around the z-axis with radii 2.74 m
The electric field at a point inside the smaller cylinder, at a distance of r = 1.23 m from the z-axis, is then given by:
E = Q / (2πε0rℓ) = (8.96 × 10^-8 C) / (2π)(8.85 × 10^-12 C
To find the electric field at a point inside a pair of infinite concentric cylinders, we can use Gauss's law, which states that the electric flux through any closed surface is proportional to the charge enclosed within the surface. For a cylindrical geometry, we choose a cylindrical Gaussian surface of radius r and height h, with its axis coincident with the z-axis, and calculate the electric flux through the surface.
Since the cylinders are infinite in extent, the electric field is uniform and radial at any point inside them. Let's choose the Gaussian surface to be a cylinder of radius r and height h, as shown in the figure below:
++++++++ ++++++++
++ ++++ ++
++ +++ ++
+ ++ +
| |
| |
| |
| |
| |
| |
+ +
+ +
++ ++
++ ++
++++++++++++++
<----- h ----->
The electric flux through this cylindrical surface is given by:
Φ = ∫ E · dA
where E is the electric field, dA is an element of area on the cylindrical surface, and the integral is taken over the entire surface.
Since the electric field is radial, the dot product E · dA reduces to E dA cos θ, where θ is the angle between E and dA. Since E and dA are perpendicular, cos θ = 1, so we have:
Φ = ∫ E dA = E ∫ dA = E (2πrh)
where the integral reduces to the surface area of the cylinder. The charge enclosed within the cylinder is given by:
Q = σ A = σ (2πrℓ)
where σ is the charge density (charge per unit area) and A is the area of the end caps of the cylinder.
Applying Gauss's law, we have:
Φ = Q / ε0
where ε0 is the permittivity of free space. Substituting our expressions for Φ, Q, and A, we get:
E (2πrh) = σ (2πrℓ) / ε0
Simplifying and solving for E, we get:
E = σ r / ε0
Since the charge density σ is uniform and equal to the total charge divided by the surface area of the cylinder, we have:
σ = Q / (2πrℓ)
Substituting this expression for σ into our equation for E, we get:
E = Q / (2πε0rℓ)
Let's now apply this formula to the given problem. We have two concentric cylinders of radii r1 = 2.74 m and r2 = 3.87 m, with a charge density of σ = 5.15 nC/m2. The height of each cylinder is infinite, so we can choose any value for ℓ. Let's choose ℓ = 1 m, so that the charge on each cylinder is:
Q = σ A = σ (2πrℓ) = (5.15 × 10^-9 C/m2) (2π)(2.74 m)(1 m) = 8.96 × 10^-8 C
To learn more about angle visit:
brainly.com/question/31818999
#SPJ11
Betsy, a recent retiree, requires $ per year in extra income. She has $ to invest and can invest in B-rated bonds paying % per year or in a certificate of deposit (CD) paying % per year. How much money should be invested in each to realize exactly $ in interest per year?
To generate the desired annual interest income, Betsy should invest a certain amount in B-rated bonds and the remaining amount in a certificate of deposit (CD). The specific allocation can be determined by comparing the interest rates and available investment funds.
To determine how much money Betsy should invest in each option, we need to consider the interest rates and available funds. Let's assume the desired annual interest income is $X.
Let's start by considering the B-rated bonds. The interest rate on these bonds is given as a percentage, which we'll call r1. Since Betsy wants to generate $X in interest per year, the amount invested in B-rated bonds would be X divided by r1 (as the interest income is given as a percentage of the investment).
Next, we'll consider the certificate of deposit (CD). The interest rate on the CD is given as a percentage, which we'll call r2. To calculate the amount that needs to be invested in the CD, we'll divide X by r2. Therefore, the total amount invested would be the sum of the amounts invested in the B-rated bonds and the CD. Mathematically, it can be represented as:
Amount invested in B-rated bonds + Amount invested in CD = Total available fundsWe are given that Betsy has $Y available to invest. So, we have the equation:
Amount invested in B-rated bonds + Amount invested in CD = Y
By substituting the values calculated earlier for the amounts invested in each option, we can solve for the specific allocation. In summary, Betsy should invest a certain amount in B-rated bonds and the remaining amount in a certificate of deposit to generate the desired annual interest income. The specific allocation depends on the interest rates and the available funds. By comparing the interest rates and solving the equation, we can determine the exact amounts to be invested in each option.
Learn more about investment funds here:- brainly.com/question/29972619
#SPJ11
Divide. Write your answer as a decimal.
8.722÷(−3.56)=
Answer:
-2.45
Step-by-step explanation:
Answer:
-2.45
Step-by-step explanation: