Answer:
The measure of angle z is 59°.
Step-by-step explanation:
Final answer:
To find the measure of ∠z when ∠x = 123° and ∠y = 51°, add the angles and subtract the sum from 180°.
Explanation:
Given:
∠x = 123°
∠y = 51°
To find ∠z:
Add ∠x and ∠y: 123° + 51° = 174°
Since the sum of angles in a triangle is 180°, subtract the sum of ∠x and ∠y from 180° to find ∠z: 180° - 174° = 6°
Hence, ∠z = 6°.
Create a rational expression that satisfies the following criteria: 1) Domain is all reals except 1 and -1 2) x=1 is a vertical asymptote 3) X = -1 is a hole 4) There is a horizontal asymptote at y = 3
Answer:
y = (3x² + x - 2)/(x² - 1)
Step-by-step explanation:
(x - 1)(x + 1) = x² - 1
In the denominator
f(x)/(x² - 1)
f(x) has a factor (x + 1)
3 + (x + 1)/(x² - 1)
(3x² - 3 + x + 1)/(x² - 1)
y = (3x² + x - 2)/(x² - 1)
What is the slope of the linear function represented in
the table?
-7
-1/7
1/7
7
Answer:
the answer is C. (1/7)
Step-by-step explanation:
I did it on edge
Which is the best estimate for (6.3 times 10 Superscript negative 2 Baseline) (9.9 times 10 Superscript negative 3 Baseline) written in scientific notation?
Final answer:
The best estimate for (6.3 x 10⁻²) (9.9 x 10⁻³) in scientific notation is approximately 6.237 x 10⁻⁵.
Explanation:
To find the best estimate for (6.3 x 10⁻²) (9.9 x 10⁻³) written in scientific notation, you need to multiply the coefficients and add the exponents.
The product of 6.3x 10⁻² and 9.9 x 10⁻³ can be calculated as (6.3 x 9.9) x (10⁻² x 10⁻³). The coefficients multiply to give 62.37 (approximately), and the exponents add to give -5.
Therefore, the best estimate for (6.3 x 10⁻²) (9.9 x 10⁻³) in scientific notation is approximately 6.237 x 10⁻⁵.
Find the value of x (no labels)
Answer:
x=31
Step-by-step explanation:
The interior angles of a triangle must add to 180 degrees, so
81+68+x=180
Add on the left
149+x=180
Now, solve for x by getting it by itself. To do this, subtract 149 from both sides
149-149+x=180-149
x=31
what is coterminal angle
Answer: Angles who share the same initial side and terminal sides.
find the inner product for (3,5) x (4,-2) and state whether the vectors are perpendicular. a.1; no b.1;yes c.2; no d.2; yes
Answer:
c. 2; no
Step-by-step explanation:
The inner product is the sum of the products of corresponding vector components. It is a scalar value, not a vector value.
(3, 5)·(4, -2) = (3)(4) +(5)(-2) = 12 -10 = 2
When the inner product is non-zero, the vectors are not perpendicular. (The yes answers with a non-zero value can be rejected out of hand.)
The appropriate choice is ...
2; no
Final answer:
The inner product of the vectors (3,5) and (4,-2) is 2. As the dot product is not zero, the vectors are not perpendicular. Therefore, the correct answer is c.2; no.
Explanation:
To find the inner product of two vectors, we use the dot product formula. The dot product of two vectors u = (a1, b1) and v = (a2, b2) is calculated as u · v = a1 × a2 + b1 × b2. For the vectors (3,5) and (4,-2), we calculate as follows:
Inner product = 3 × 4 + 5 × (-2) = 12 - 10 = 2.
Two vectors are perpendicular if their dot product is zero. Since the dot product here is 2, not zero, the given vectors are not perpendicular.
Therefore, the correct answer is: c.2; no.
whats 2+2-1+4x4-12-7
Answer:
is the answer 0
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
2+2-1+4x4-12-7
4-1+4x4-12-7
3+4+4x4-12-7
7+4x4-12-7
11x4-12-7
44-12-7
32-7
25
hope help :) .^.
I NEED HELP ON THIS SO BAD I WILL GIVE CROWN FOR ANSWER
Edwin fills 15 test tubes with a solution. Each test tube contains 150 milliliters of solution.
How many liters of solution in all is there in the test tubes?
2.25 L
22.5 L
225 L
2,250 L
The number of liters of solution in all is there in the test tubes is 2.25L, the correct option is A.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
Edwin fills 15 test tubes with a solution.
Each test tube contains 150 milliliters of solution.
Now,
The solution in all the tubes=150ml x 15
=2250ml
To convert it in liters
=2250/1000
=2.250L
Therefore, by algebra the answer will be 2.250L.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ6
The city of Raleigh has 9000 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 500 randomly selected registered voters was conducted. 217 said they'd vote for Brown, 242 said they'd vote for Feliz, and 41 were undecided.
Describe All citizens of Raleigh
A. All registered voters in Raleigh
B. All registered voters with telephones in Raleigh
C. The 500 voters surveyed
D. The 217 voters who said they'd vote for Brown
C. None of the abovethe sample for this survey.
Answer:
c
Step-by-step explanation:
plz mark me brainlesssss
£399 is shared between Ann, Bill, Chloe and Dave.
The ratio of the amount Ann gets to the amount Bill gets 2 : 9
Chloe and Dave get 2.5 times the amount Ann gets.
Work out the amount of money that Bill gets.
Show your working out.
Answer:
Ann=£38
Bill=£171
Chloe=£95
Dave=£95
Step-by-step explanation:
By the information provided we can create an equation:
[tex]2x+9x+2*5x=399\\11x+10x=399\\21x=399\\x=19[/tex]
Now that we know x, we multiply it correspondingly.
For Ann -> 2*19=38
Bill -> 9*19= 171
Chloe and Dave have the exact same amount each (because they both have 2.5 times the amount Ann's money)
Chloe/ Dave -> 5*19=95 each.
evaluate using tables square root of 0.792
Answer:
0.28142
Explanation
First change 0.792 into standard form
To evaluate the square root of 0.792 using tables, you would typically refer to a set of pre-calculated square root values in the form of a table. These tables were commonly used before calculators and computers became widely available.
To begin the evaluation process, you would follow these steps:
**Step 1: Locate the closest square values**
First locate the two perfect square values that surround 0.792. If you have a comprehensive table, you may find an exact value, but often you'll need to interpolate between two values.
**Step 2: Interpolation**
If 0.792 is not a value directly found in the table, you use interpolation. Let's assume that your table shows that the square root of 0.784 (which is \( 0.28² \)) is 0.28, and the square root of 0.81 (which is \( 0.9² \)) is 0.9. Your value, 0.792, lies between these two.
**Step 3: Estimation**
Since \( 0.28² \) is 0.784 and \( 0.9² \) is 0.81, 0.792 is closer to 0.784 than 0.81. You would then estimate it to be closer to 0.28 than 0.9.
**Step 4: Fine-tuning**
Now, find the difference between the square roots and the differences between the squares:
- The difference between 0.28 and 0.9 is 0.62.
- The difference between 0.784 and 0.81 is 0.026.
Next, find out where 0.792 falls between 0.784 and 0.81 in proportion to the difference between the square roots.
- The difference between 0.792 and 0.784 is 0.008.
- To find the proportion of 0.008 to the total difference 0.026, you divide 0.008 by 0.026 to get approximately 0.308.
- Now, multiply this proportion by the difference between the square roots to refine your estimate: 0.62 * 0.308 ≈ 0.191.
**Step 5: Calculate your estimate**
Add this value to the lower square root to get an approximation of the square root of 0.792:
0.28 + 0.191 ≈ 0.471.
**Final Answer**
The square root of 0.792 is approximately 0.471 using interpolation with table values.
Consider a population variable measured in square-feet. The population standard deviation is 15 square-feet. How many observations do we need in our sample in order to be able estimate a 95% confidence interval with only 2.5 square-feet for error margin?
Given Information:
standard deviation = σ = 15 ft²
Confidence interval = 95%
Margin of error = 2.5 ft²
Required Information:
Sample size = n = ?
Answer:
Sample size = n ≈ 139
Step-by-step explanation:
The required number of observations can be found using ,
Me = z(σ/√n)
Where Me is the margin of error, z is the corresponding z-score of 95% confidence interval, σ is the standard deviation and n is the required sample size.
Rearrange the above equation to find the required number of sample size
√n = σz/Me
n = (σz/Me)²
For 95% confidence level, z-score = 1.96
n = (15*1.96/2.5)²
n = 138.29
since the sample size can't be in fraction so,
n ≈ 139
Therefore, a sample size of 139 would be needed.
Find the Volume of the cylinder. Either enter an exact answer in terms of pie or use 3.14 for pie.
Can someone help me with this pls :(
Answer:
Step-by-step explanation:
we know that the formula for the volume of cylinder is
=[tex]\pi r^{2} h[/tex]
Given
radius(r) = 4
height(h) = 10
NOW
Volume = [tex]\pi r^{2} h[/tex]
= [tex]\pi *4^{2} *10[/tex]
=[tex]160\pi units^{3}[/tex]
or
if we use the value of pie then its answer is
= 160 * 3.14
= 502.4[tex]units^{3}[/tex]
Hope it was helpful:)
Mom put plums and apples onto a plate. The ratio of the number of plums to the number of apples was 3:2. How many fruit did mom put on the plate, if after Ed took 6 plums from the plate, the number of plums remaining on the plate became the same as the number of apples?
Answer:
30 fruits
Step-by-step explanation:
Let
x ----> number of plums on the plate
y ----> number of apples on the plate
we know that
The ratio of the number of plums to the number of apples was 3:2
so
[tex]\frac{x}{y} =\frac{3}{2}[/tex]
[tex]x=1.5y[/tex] ----> equation A
After Ed took 6 plums from the plate, the number of plums remaining on the plate became the same as the number of apples
so
[tex]x-6=y[/tex] ----> equation B
substitute equation A in equation B
[tex]1.5y-6=y[/tex]
solve for y
[tex]1.5y-y=6\\0.5y=6\\y=12[/tex]
Find the value of x
[tex]x=1.5(12)=18[/tex]
therefore
Mon put on the table
[tex]x+y=18+12=30\ fruits[/tex]
Answer:
30
Step-by-step explanation:
Marianne opened a retirement account that has an annual yield of 5.5%. She is planning to retire in 25 years. How much should she put into the account each month so that she will have $500,000 when she retires?
Answer:
Monthly deposit, P = $776.41
Step-by-step explanation:
Interest rate per annum = 5.5%
number of years = 25
Since she pays monthly, number of payments per annum = 12
Interest rate per period, r = (Interest rate per annum)/(number of payments per annum)
r = 5.5%/12 = 0.46%
Number of periods, n = number of years * number of payments per annum
n = 25 * 12 = 300
Future value of annuity, FVA = $500,000
Monthly deposit will be:
[tex]P = \frac{(FVA) * r}{(1+r)^{n} -1} \\P = \frac{(500000) * 0.46/100}{(1+0.46/100)^{300}-1 }[/tex]
P = $776.41
Answer:
MP = $778.77
she should put $778.77 into the account each month
Step-by-step explanation:
This problem can be solved using the compound interest formula;
FV = MP{[(1+r/n)^(nt) - 1]/(r/n)} .......1
Where;
FV = Future value
MP = monthly contribution
r = yearly rate
n = number of times interest is compounded per year.
t = number of years
Given
FV = $500,000
t = 25 years
r = 5.5% = 0.055
n = 12 months/year
From equation 1, making MP the subject of formula;
MP = FV/{[(1+r/n)^(nt) - 1]/(r/n)}
Substituting the given values we have;
MP = 500,000/(((1+0.055/12)^(12×25) -1)/(0.055/12))
MP = $778.77
she should put $778.77 into the account each month
In Sakura's garden, for every 555 red flowers, there are 101010 yellow flowers. There are a total of 757575 yellow and red flowers in her garden. How many red flowers are in Sakura's garden?
Answer:
There are 25 red flowers in the garden.
Step-by-step explanation:
In this problem we have a common issue where the number is repeated 3 times in questions. So I'll sove it using the ratio 5 reds to 10 yellows and the data that there are 75 yellows and red flowers in the garden.
Since we know that for every 5 red flowers in a garden there are 10 yellow ones, then the ratio of yellow flowers to red flowers is
ratio = red/yellow = 5/10 = 1/2
yellow = 2*red
Since there are 75 yellow and red flowers in the garden we have:
yellow + red = 75
2*red + red = 75
3*red = 75
red = 75/3 = 25
There are 25 red flowers in the garden.
Answer:
25
Step-by-step explanation:
Plz help asap!!!!!!!!!!!!!!!!!!!
Answer:
A) 0.685
Step-by-step explanation:
P(no snow) = 1 - P(snow)
1 - 0.315
0.685
Here are the first five terms of Fibonacci sequence.
4, 4, 8, 12, 20
a) Write down the next two terms in the sequence ... , ...
The first three terms of a Fibonacci sequence are
n, 3n, 4n
b) Find the sixth term of this sequence
Answer:
a) 32, 52
b) 18n
Step-by-step explanation:
a)
12+20=32
20+32=52
b)
4th element = 3n+4n=7n
5th element = 4n+7n=11n
6th element = 7n+11n=18n
Answer:
a) 32, 52
b) 18n
Step-by-step explanation:
because 7n+n
3n+7
4
a) What are the key aspects of any parabola? What do the key aspects tell you about the graph
Answer:
Vertex of parabola
Step-by-step explanation:
The red dot shows the extreme of parabola that is known as vertex.
A school is selling tickets to a choral performance. On the first day, the school sold 6 adult tickets and 6 child tickets for $102. The school took in $96 on the second day selling 12 adult tickets and 3 child tickets. How much does each ticket cost ?
Answer:
adult $5
child $12
Step-by-step explanation:
make the adult as x and child as y.
this will makes 6x + 6y = 102
12x + 3y = 96
solve it and the answer comes out.
Let X={1,2,3}X={1,2,3}. Let P(X)P(X) be the set of all subsets of XX (i.e. Power set of XX). Let RR be a relation defined on P(X)P(X) by the following. For all sets AA and BB in P(X)P(X), ARBARB iff |A|=|B||A|=|B|. Is RR an equivalence relation?
Answer:
Yes
Step-by-step explanation:
For the equation to be equivalence then it must be
Reflexive, Symmetric and transitive
since |A|=|B|;
Every element in A is in B then R is reflexive
If f(1) = g(1), then g(1) = f(1), so R is symmetric.
If f(1) = g(1) and g(1) = h(1), then f(1) = h(1), so R is transitive.
R is reflexive, symmetric, and transitive,
thus R is an equivalence relation.
What is the solution to the following equation x²+3x+7=0
Answer:
x =(3-√37)/2=-1.541
x =(3+√37)/2= 4.541
Step-by-step explanation:
to long to explain sorry but trust me
Answer:
The answer to your question is below
Step-by-step explanation:
Data
Equation x² + 3x + 7 = 0
Let's solve this equation by two methods.
1) Completing the perfect square trinomial
x² + 3x = -7
x² + 3x + (3/2)² = -7 + (3/2)²
(x + 3/2)² = -7 + 9/4
(x + 3/2)² = -19/4
x + 3/2 = √-19/√4
x = -3/2 + √-19/2 It has imaginary solutions.
2.- Graph the equation
See the graph below.
In the graph we notice that the equation does not cross the x-axis so it does not have real solution.
Amelia used 6 liters of gasoline to drive 48 kilometers.
At that rate, how many liters does it take to drive 1 kilometer?
liters
Answer:
Part 1: 8 km per liter
Part 2: 0.125 liters per km
Step-by-step explanation:
Part 1:
6x=48
x=48/6
x=8
Part 2:
8km per liter
?liters per km
1/8 = 0.125
0.125 liters per kilometer
what is 0.3% of 3.9*10^18
Answer:
1.17e+16
hope this helps! (if right pls mark brainy) thanks!
Suppose you go to a company that pays 0.03 for the first day, 0.06 for the second day, 0.12 for the third day and so on. If the daily wage keeps doubling, what will your total income be for working 29 days ? Total Income = 16106127.33 Correct
Answer:
The total income after 29 days is $16,106,127.33
Step-by-step explanation:
This is a geometric progression with the first element being 0.03 and the ratio is 2. So if we want to know the total income after 29 days we can use the formula for the sum of elements in a series of that kind, this is given by:
sum(29 elements) = [(first element)*(1 - r^(29))]/(1 - r)
sum(29 elements) = [0.03*(1 - 2^(29))]/(-1)
sum(29 elements) =(0.03*(-536870911))/(-1)
sum(29 elements) = -16106127.33/(-1) = 16106127.33
The total income after 29 days is $16,106,127.33
y=−5x+7 coordinates of x intercept
Answer:
The x intercept is (7/5,0)
Step-by-step explanation:
y=−5x+7
To find the x intercept, set y=0 and solve for x
0 = -5x+7
Subtract 7 from each side
0-7 = -5x+7-7
-7 = -5x
divide each side by -5
-7/-5 = -5x/-5
7/5 =x
The x intercept is (7/5,0)
From least to greatest, what are the measures of the next two angles with positive measure that are coterminal with an angle measuring 250°?
Answer:
610 and 970
Step-by-step explanation:
Answer:
610 and 970
Step-by-step explanation:
A rectangular tank with a square base, an open top, and a volume of 6912ft cubed is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area.
The dimensions of the tank that minimize the surface area are a square base of 24 ft × 24 ft and a height of 12 ft.
To minimize the surface area, we need to minimize the sum of the areas of the five sides of the tank. Let's denote the side length of the square base as x and the height of the tank as h.
Given that the volume V = 6912 ft³, and for a rectangular tank, the volume is V = base area × height = x² × h.
So, we have x² × h = 6912.
To minimize the surface area, we differentiate the surface area formula with respect to x, set it equal to zero, and solve for x.
The surface area A = x² + 4xh.
Differentiating A with respect to x, we get [tex]\frac{dA}{dx}[/tex] = 2x + 4h.
Setting [tex]\frac{dA}{dx}[/tex] = 0 gives us 2x + 4h = 0, so x = -2h.
Since x cannot be negative, we ignore this solution.
Now, using x² × h = 6912, we can solve for h:
h = [tex]\frac{6912}{x^{2} }[/tex]
Substituting x = -2h:
[tex]\[ h = \frac{6912}{(-2h)^2} = \frac{6912}{4h^2} = \frac{1728}{h^2} \][/tex]
Solving for h:
[tex]h^3 = \frac{1728}{h^2}\\h^5 = 1728\\h = \sqrt[5]{1728} = 12[/tex]
Now, substituting h = 12 back into x² × h = 6912:
[tex]x^2 \times 12 = 6912\\x^2 = \frac{6912}{12} = 576\\x = \sqrt{576} = 24[/tex]
A cone fits inside a square pyramid as shown For every
cross section the ratio of the area of the circle to the area
the area of the square the
Since the area of the circle is
volume of the cone equals
of the square is more
I the volume of the pyramid
Cross section
the volume of the pyramid or 3 (2+m) or .arn
the volume of the pyramid or (en en) or zarah
the volume of the pyramid or ( 20 ) or tren
Answer:
C is the answer
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Which are simplified forms of the expression sec^2 theta sin 2theta? Select all that apply.
There are two answers.
a) 2 cot theta
b) 2-sec^2 theta
c) 2 tan theta
d) sec^2 theta-1
e) (sin2 theta) / (cos^2 theta)
Answer:
2 tan theta & sin2theta/cos^2theta
Step-by-step explanation:
Final answer:
The simplified forms of the expression sec^2(theta) sin(2theta) are 2 tan(theta) and sec^2(theta) - 1. These correspond to answer choices (c) and (d) respectively, by utilizing trigonometric identities to simplify the expression.
Explanation:
To find the simplified forms of the expression sec^2(theta) sin(2theta), we can use trigonometric identities. The identity for sin(2theta) is 2sin(theta)cos(theta). Since sec(theta) is the reciprocal of cos(theta), we can write sec^2(theta) as 1/cos^2(theta).
Therefore, the expression becomes:
sec^2(theta) sin(2theta) = (1/cos^2(theta)) * (2sin(theta)cos(theta))
We can simplify this further by canceling one cos(theta) from the numerator and denominator, which yields:
2sin(theta)/cos(theta)
Simplified, this is equal to 2 tan(theta), since tan(theta) = sin(theta)/cos(theta).
Using another trigonometric identity, sec^2(theta) = 1 + tan^2(theta), we can also express the original expression as:
sec^2(theta) - 1 which simplifies to tan^2(theta).
This means that the correct answers from the provided choices are (c) and (d).