Answer:
24!
Step-by-step explanation:
a= h b/2
a = 4 12/2
12/2 = 6
a = 4 x 6
a = 24
and sorry for asking but, if this is right could i please get a thanks & brainliest recently a moderator deleted ALL my answers (over 400 answers) causing me to lose over 3k points so id appreciate it alot thanks xoxo
Answer:
(12 x 4)/2 = 24
Step-by-step explanation:
In a class of 70 students there are 10 more girls than boys. What is the ratio of the number of boys to the number of girls?
35 to 35
30 to 37
3 to 4
6 to 8
A pool in the shape of a rectangular prism is being filled with water. The length and width of the pool is 24 feet and 15 feet. If the height of the water in the pool is 1 1/3 feet, what is the volume of the water in cubic feet?
Group of answer choices
Four more than the product of a number and 10 is at most the opposite of 12.
This year, the number of raffle tickets sold for a school's extracurricular activities fundraiser is 848. It is estimated that the number of raffle tickets sold will increase by 5% each year. Find the total number of raffle tickets sold at the end of 9 years.
Select the correct answer below:
9,158
9,351
9,818
10,666
This year, the number of raffle tickets sold for a school's extracurricular activities fundraiser is 848. It is estimated that the number of raffle tickets sold will increase by 5% each year.
The total number of raffle tickets sold at the end of 9 years is approximately 9,818.
To find the total number of raffle tickets sold at the end of 9 years, we need to calculate the number of tickets sold each year and sum them up.
Starting with the initial number of tickets sold, which is 848, we will increase this number by 5% each year for a total of 9 years.
Year 1: 848 + (5% of 848) = 848 + 42.4 = 890.4
Year 2: 890.4 + (5% of 890.4) = 890.4 + 44.52 = 934.92
Year 3: 934.92 + (5% of 934.92) = 934.92 + 46.746 = 981.666
Year 9: Ticket sales at the end of 9 years = Number of tickets sold in Year 8 + (5% of Year 8 sales)
Year 9: Total = 1,399.585 + 69.97925 = 1,469.56425 ≈ 1,469.56
The total number of raffle tickets sold at the end of 9 years is approximately 1,469.56.
The correct option is 9,818.
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Between which two numbers is 3 located on a number line?
Answer: -2 and -1
You have the correct answer.
Eugene and Jessica each improved their yards by planting hostas and geraniums. They bought
their supplies from the same store. Eugene spent $150 on 18 hostas and 6 geraniums. Jessica
spent $113 on 7 hostas and 16 geraniums. Find the cost of one hosta and the cost of one
geranium.
The cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.
To find the cost of one hosta and one geranium, we can set up a system of equations based on the given information.
Let's assume the cost of one hosta is represented by 'h' and the cost of one geranium is represented by 'g'.
From the information given, we can set up the following equations:
Eugene's spending:
18h + 6g = $150
Jessica's spending:
7h + 16g = $113
We can now solve this system of equations to find the values of 'h' and 'g'.
Multiplying the first equation by 2 and the second equation by 3 to eliminate 'g', we get:
36h + 12g = $300
21h + 48g = $339
Now, we can subtract the second equation from the first to eliminate 'h':
(36h + 12g) - (21h + 48g) = $300 - $339
36h - 21h + 12g - 48g = -$39
15h - 36g = -$39
Simplifying further, we have:
15h - 36g = -$39
Now we can solve this equation for 'h' and substitute the value back into any of the original equations to find 'g'.
Let's solve for 'h':
15h = 36g - $39
h = (36g - $39) / 15
Substituting this value of 'h' into Eugene's equation:
18[(36g - $39) / 15] + 6g = $150
(648g - $702) / 15 + 6g = $150
648g - $702 + 90g = $150 * 15
738g - $702 = $2250
738g = $2250 + $702
738g = $2952
g = $2952 / 738
g ≈ $4
Now, substituting the value of 'g' back into Eugene's equation:
18h + 6($4) = $150
18h + $24 = $150
18h = $150 - $24
18h = $126
h = $126 / 18
h ≈ $7
Therefore, the cost of one hosta is approximately $7 and the cost of one geranium is approximately $4.
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Express it in slope-intercept form
Answer:
Step-by-step explanation:
Can u help me
Answer:
cant see the picture
Step-by-step explanation:
A map has a scale of 1 in : 3 km. If the actual distance is 15 km, what is the distance on the map?
Answer:
5 in.
Step-by-step explanation:
The ratio of map distance to real distance is 1 in : 3 km meaning that 1 inch on the map describes 15 km in real life.
15 km is 5 times 3 km, so the map distance is 5 times 1 in., or 5 in.
1 in. x 5 : 3 km x 5
This is a "school math" problem where things come out nicely! Another way to look at this is with equivalent fractions.
\(\frac{\text{1 in}}{\text{5 km}} = \frac{\text{m}}{\text{15 km}}\)
"cross multiply"
\(5m = (15)(1)\\5m=15\\m=3 \text{ in.}\)
WILL GIVE BRAINLIEST, PLEASE HELP
Which pair of functions are inverses of each other?
Answer:
It is C
Step-by-step explanation:
G(x) = 5x -6 is lso f(x)=x/5 +6
Theya re bothFunctions meaning they are pairs of functions
Calculate the sector area: 16 in 90°
Therefore , the solution of the given problem of area comes out to be
r = 8.
Define area.The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.
Here,
A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as
Sector Size/Sector Area = Circle Area/360
16 ft2/90 = n/360
(360) (16 ft2)/90 = n
(4)(16 ft2) = n
The total size of the circle is n = 64 ft2.
Since Area of a Circle equals r2,
∏r2 = 64
r2 = 64/∏
r = √(64/∏)
We multiply by / to get by rationalizing the denominator.
r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of
r = √(64∏)/∏
r = 8
Therefore , the solution of the given problem of area comes out to be
r = 8.
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A bank gives an interest of 12% per annum.How long will it take to double one's interest?
Need help will give brainliest and 5 stars! :)
The logarithmic function can be written exponentially as follows.\(t = 8^y.\)
What is logarithmic function?Exponents and logarithms are inverse operations of one another. We can rewrite an equation in logarithmic form as log_a(b) = x if it has the form axe = b. A number's logarithm is the exponent that must be raised in order to obtain that number. For instance, since 102 = 100, log_10(100) = 2. Similar to this, we can express an equation in exponential form, such as axe = b, if it is in logarithmic form, such as log_a(b) = x. The inverse function of the logarithmic function is the exponential function. As a result, when we apply a logarithm to an exponential expression, the original exponent is returned, and the opposite is true.
The given logarithmic expression is \(log_{8}(t) = y.\)
We know that if we have an equation in the form \(a^x = b\), we can rewrite it in logarithmic form as \(log_a(b) = x\) and vice versa.
Thus, \(log_{8}(t) = y\)
\(t = 8^y\)
Hence, the logarithmic function can be written exponentially as follows.\(t = 8^y.\)
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Examine the figure below, solve for a, round to the nearest whole number.
26 is the value of a from the given figure.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
We need to find the value of a from the figure.
∠D is 46 degrees.
AD is 28, AT is 37
CosD=Adjacent side/ Hypotenuse
Cos46=a/37
0.695=a/37
a=0.697×37
a=26
Hence, the value of a is 26
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what operation does the power 1/2 represent
Answer:
Square root
Step-by-step explanation:
Something to the 1/2 power means the square root of that number.
consider the system of linear equations
consider the system of linear equations
6x+2y – z=4
X +5y+z=3
2x+y+4z=27
A, solve the system by
I. Gassian elimination method,
II. LU- decomposition method
III. Gauss- Jacobi method,and
IV. Gauss-seidel method,
I. The solution to the system of equations using Gaussian elimination is x = 1, y = -1, and z = 2.
II. For the LU-decomposition method, we need to have a square coefficient matrix, which is not the case in the given system. Therefore, we cannot directly apply the LU-decomposition method.
III. For this method to converge, the coefficient matrix must be diagonally dominant, which is not the case in the given system. Therefore, the Gauss-Jacobi method cannot be directly applied either.
IV. It requires the coefficient matrix to be diagonally dominant, which is not satisfied in the given system. Hence, the Gauss-Seidel method cannot be directly used.
I. Gaussian Elimination Method:
To solve the system of linear equations using Gaussian elimination, we perform row operations to reduce the system into upper triangular form. The augmented matrix for the given system is:
| 6 2 -1 | 4 |
| 1 5 1 | 3 |
| 2 1 4 |27 |
We can start by eliminating the coefficients below the first element in the first column. To do this, we multiply the first row by a suitable factor and subtract it from the second and third rows to eliminate the x coefficient below the first row. Then, we proceed to eliminate the x coefficient below the second row, and so on.
After performing the necessary row operations, we obtain the following reduced row-echelon form:
| 6 2 -1 | 4 |
| 0 4 2 | -1 |
| 0 0 3 | 6 |
From this form, we can easily back-substitute to find the values of x, y, and z. We have z = 2, y = -1, and x = 1.
II. LU-Decomposition Method:
LU-decomposition is a method that decomposes a square matrix into a product of two matrices, L and U, where L is lower triangular and U is upper triangular.
III. Gauss-Jacobi Method:
The Gauss-Jacobi method is an iterative numerical method to solve systems of linear equations.
IV. Gauss-Seidel Method:
Similar to the Gauss-Jacobi method, the Gauss-Seidel method is an iterative method for solving linear systems.
Therefore, out of the four methods mentioned, only the Gaussian elimination method can be used to solve the given system of linear equations.
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Please help with this math work!! Solve for x , Assume which appear tangent are tangent
Answer:
photo is not clear so i can't help u
Answer:
i cant really see the q so sorry but goodluck <3
In a direct variation, y=9 when x=3. Write a direct variation equation that shows the relationship between x and y.
In a direct variation, y=9 when x=3. A direct variation equation that shows the relationship between x and y is y=3x
What do you mean by direct variation?
Direct variation is a type of proportionality when one quantity changes right away in reaction to a change in another variable. This implies that if one number rises, the other will follow suit in a comparable manner. Similar to the last illustration, if one quantity decreases, the other quantity also decreases. Direct variation will have a linear relationship with the graph, resulting in a straight line.
Given,
In a direct variation, y=9 when x=3.
Formulate an equation based on the conditions stated: y=kx
We put the value of the y and x in this equation
9=k*3
Subtract the coefficient of the variable from both sides of the equation
k= 3
We can write the equation of the function by putting the value of k: y=3x
Hence the correct answer is y=3x
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PLEASE HELP ASAP PLEASE
The probability that a randomly selected junior student had a summer job is 0.173.
The total number of students were 100+200+125+150 which includes juniors seniors from the given chart.
Total number of students =575
Let us the probability that a randomly selected student is a junior and who is having a summer job.
The number of students who do summer job and is a junior is 100.
Probability = 100/575
When we divide hundred by five hundred seventy five, we get 0.173.
=0.173
Hence, the required probability of selecting a junior student who had a summer job is 0.173.
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Use the theorem in Sec. 28 to show that if f (z) is analytic and not constant throughout a domain D, then it cannot be constant throughout any neighborhood lying in D. Suggestion: Suppose that f(z) does have a constant value ωo throughout some neighborhood in D.
Answer:
The value of f(z) is not constant in any neighbourhood of D. The proof is as explained in the explaination.
Step-by-step explanation:
Given
For any given function f(z), it is analytic and not constant throughout a domain D
To Prove
The function f(z) is non-constant constant in the neighbourhood lying in D.
Proof
1-Assume that the value of f(z) is analytic and has a constant throughout some neighbourhood in D which is ω₀
2-Now consider another function F₁(z) where
F₁(z)=f(z)-ω₀
3-As f(z) is analytic throughout D and F₁(z) is a difference of an analytic function and a constant so it is also an analytic function.
4-Assume that the value of F₁(z) is 0 throughout the domain D thus F₁(z)≡0 in domain D.
5-Replacing value of F₁(z) in the above gives:
F₁(z)≡0 in domain D
f(z)-ω₀≡0 in domain D
f(z)≡0+ω₀ in domain D
f(z)≡ω₀ in domain D
So this indicates that the value of f(z) for all values in domain D is a constant ω₀.
This contradicts with the initial given statement, where the value of f(z) is not constant thus the assumption is wrong and the value of f(z) is not constant in any neighbourhood of D.
I give Brainlest !!!!!!!
Answer:
40,000
Step-by-step explanation:
What are the solutions of the equation x^2+ 9x+15=0?
Answer:
x^2+9x+20.25=5.25
Step-by-step explanation:
a^2+ba+c; x^2+9x+15=0; x^2+9x+15-15=0-15; x^2+9x=-15; then you you take (1/2b)^2 and add it to both sides, 4.5^2=20.25; x^2+9x+20.25=-15+20.25; x^2+9x+20.25=5.25
Solve this equation
1/3(9-2x)=x+1
1) Convert the following
following measurements into m
a) 290cm
b) 56200mm
c)4.7 km
d) 123dm
e) 0.8nm
Answer:
a)2.90m
c) 4700m
Step-by-step explanation:
I know answers for these only
please give brainliest
Find the missing value.
K
N
75°
L
M
Answer:
N
Step-by-step explanation:
Yeah cos it's like n ya know ueuehd
The graph represents the piecewise function: f (x) ={ , if -3
The domain and the range of the function are
Domain = (-∝, ∝)Range = (0, ∝)How to determine the domain and range of the functionFrom the question, we have the following parameters that can be used in our computation:
The graph
The graph is a piecewise function
When combined gives an absolute function
The rule of a function is that
The domain is the set of all real numbers
This means that the input value can take all real values
However, the range is greater than the constant term
In this case, it is 0
So, the range is y > 0
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Question
The graph represents the piecewise function:
f(x) =
What is the domain and range of the function
(Effects of Changes in Data MC) The average high temperatures in degrees for a city are listed. 58, 61, 71, 77, 91, 100, 105, 102, 95, 82, 66, 57 If a value of 98° is added to the data, how does the mean change? O a Ob Oc Od The mean increases by 8.2°. The mean decreases by 8.2°. The mean increases by 1.4°. The mean decreases by 1.4°.
The way that the mean will change when a value of 98 is added is C. The mean increases by 1.4°
How to find the mean ?The mean can be found by summing up all the temperatures given and then dividing by the number of cities listed.
The mean is therefore :
= ( 58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57 ) / 12
= 965 / 12
= 80. 42 degrees
The new mean when 98 degrees is added is:
= ( 58 + 61 + 71 + 77 + 91 + 100 + 105 + 102 + 95 + 82 + 66 + 57 + 98 ) / 13
= 81. 77 degrees
The change is :
= 81. 77 - 80. 42
= 1. 35
= 1. 4 degrees
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Write down three integers,all less than 25,whose range is 8 and mean is 11.
let
x------> the first integer
y------> the second integer
z-----> the third integer
x < y < z < 25
we know that
Median=13
Median=(x+y+z)/3
13=(x+y+z)/3
x+y+z=39------> equation 1
range=10
The range is the difference between the largest number within the set and the smallest number in the set
so
range=z-x
z-x=10------> z=x+10-----> equation 2
to find the solution we will assume different values of x (See the attached table)
terms
x < y < z < 25
z=x+10
y=39-z-x
The solution can be
7,15,17
8,13,18
9,11,19
What is the range of the function? f(x)=3^x−1−2
The range of the equation f(x) = 3ˣ ⁻ ¹ - 2 is y > -2
Calculating the range of the equation?From the question, we have the following parameters that can be used in our computation:
f(x) = 3ˣ ⁻ ¹ - 2
The above equation is an exponential function
The rule of an exponential function is that
The domain is the set of all real numbersHowever, the range is always greater than the constant termIn this case, it is -2
So, the range is y > -2
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Help!!!! I don't get this!!!!!!
Answer:
C
Step-by-step explanation:
One pound (lb) is equal to 16 (oz). So, if you are trying to find how many ounces are in one pound, you have to divide the number of pounds by the 16, the amount of ounces in one pound.
solve pls brainliest
Answer:
7 x (2 + 3) = (7 x 2) + (7 x 3) = 35