Answer:
∠ D = 38°
Step-by-step explanation:
given Δ ABC and Δ DEF are similar, then corresponding angles are congruent, so
∠ A and ∠ D are corresponding , so
∠ D = ∠ A = 38°
given a multi-value attribute with a variable number of values, for which we need to process independently the values, it is recommended to consider a new dependent entiy to represent the values
Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently.
Yes, when dealing with a multi-value attribute with a variable number of values that need to be processed independently, it is recommended to consider creating a new dependent entity to represent the values. This can help to simplify the design and make it easier to manage and maintain. The new entity can be linked to the original entity through a relationship, allowing each value to be processed independently while still maintaining the integrity of the data. Overall, this approach can improve the efficiency and effectiveness of the system, making it easier to work with and providing better results for the end user.
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how do you solve this for product of powers property
Answer: 1.38
Step-by-step explanation:
a model of a car is 1 feet wide and 3 feet long. if the actual car is 15 feet long, what is the width of the actual car?
Answer:
Step-by-step explanation:
width:length =1:3
width:15=1:3
width =5
The width of the actual car is 45 feet.
Given that,
A automobile model is 3 feet long and 1 foot wide. Considering that the automobile is 15 feet long
To find : The width of the actual car
Model Car's Width (W) = 1 foot
Model Car's Length (L) = 3 feet
Actual Car's Length (l) = 15 feet
Actual Car's Width (w) = x feet
To solve,
We know that,
Product of Means = Product of Extremes which means ,
1 : 3 :: 15 : x
1 * x = 15 *3
x = 45.
Therefore, the Actual Car's Width (w) is 45 feet.
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Solve the equation.
25-3(2w + 1) = 10w-3(10+w)
In a recent election, 63% of all registered voters participated in voting. In a survey of 275 retired voters, 162 participated in voting. Which is higher, the population proportion who participated or the sample proportion from this survey?
The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).
To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.
The population proportion who participated in voting is given as 63% of all registered voters.
This means that out of every 100 registered voters, 63 participated in voting.
In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.
Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .
Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).
Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.
It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.
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Can you please help me -3x-y=6
Answer:
(0,-6), (-2,0)
Step-by-step explanation:
-3x-y=6
-y=6+3x
y=-3x-6
when x=0, y=-6
when y=0 x=-2
Complete the equation describing how
and y are related.
XOL2345
911 13 15
1
y
7
17
y = [? ]x + [ ]
Enter the answer that
belongs in [?].
The equation that describing how x and y are related is y = 2x + 7
From the given table we have to choose two points
The first point = (1, 9)
The second point = (2, 11)
The slope of the line is the change in y coordinate with respect to the change in x coordinate of the line
The slope of the line = \(\frac{y_2-y_1}{x_2-x_1}\)
Substitute the values in the equation
The slope of the line = (11-9) / 2 - 1
= 2 / 1
= 2
From the table
At x = 0 the value of y = 7
Therefore the y intercept = 7
The slope intercept form is
y = mx + b
Where m is the slope of the line
b is the y intercept
Then,
y = 2x + 7
Hence, the equation that describing how x and y are related is y = 2x + 7
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Plzzzz I need the answer
My parents give me an allowance of $60 every month. To earn some extra money I get a job. I make $7.50 an hour at this job. In order to have a social life and hang out with my friends, I am going to need at least $260 every month.
What is the APPROXIMATE minimum amount of hours I will have to work to accomplish my goal? (HINT: use whole numbers for your answer)
I would need to work at least 27 hours to make enough money to reach my goal.
What are arithmatic operations?
Arithmetic operations is a branch of mathematics, that involves the study of numbers, the operation of numbers that are useful in all the other branches of mathematics. It basically comprises operations such as Addition, Subtraction, Multiplication, and Division.
Let's start by finding the amount of money I receive from my allowance and how much more money I need to make to reach my goal:
Allowance per month = $60
Amount of money I need for social life = $260
Additional amount of money I need to make = $260 - $60 = $200
Now, let's divide the additional amount of money I need to make by the amount I make per hour to find how many hours I need to work:
$200 ÷ $7.50 per hour = 26.67 hours
Since we can't work a fraction of an hour, we need to round up to the nearest whole number.
Therefore, I would need to work at least 27 hours to make enough money to reach my goal.
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plz answer this, will give brainliest answer
Answer:
Similar - Yes
Similarity Statement - cdef ~ qrst
Scale factor - 3/4
Step-by-step explanation:
Hope this helps :)
Use the quadratic formula to find both solutions to the quadratic equation
given below.
3x2 - 5x + 1 = 0
ILL MAKE YOU BRAINLEST JUST HELP
Answer:
i only know one answer which is d
Step-by-step explanation:
Answer:
Step-by-step explanation:
i think b and d
c+11=24
please help!!
Answer:
13
Step-by-step explanation:
Answer:
c=13
Step-by-step explanation:
Hey There!
c+11=24
When looking at this problem you want to get the variable on one side (c) and the constant on the other ( any whole number)
as you can see we need to get rid of the 11 on the left side
to do that we subtract 11 but whatever you do to one side you have to do to the other side
11-11 cancels out
24-11=13
so we can conclude that
c=13
The verbal subtest of the GRE has a population mean of 500 and a population standard deviation of 100 by design (the quantitative subtest has the same mean and standard deviation).
a. Convert the following z scores to raw scores without using a formula:
(i) 1.5,
(ii) -0.5,
(iii) -2.0.
b. Now convert the same z scores to raw scores using symbolic notation and the formula:
(i) 1.5,
(ii) -0.5,
(iii) -2.0.
The z scores of 1.5, -0.5 and -2.0 corresponds with a raw score of 650, 450 and 300
What is z scoreZ score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
z = (x - μ) / σ
Where x = raw score, μ = mean and σ = standard deviation.
Given that σ = 100, μ = 500, hence:
a) For z = 1.5:
1.5 = (x - 500)/100
x = 650
b) For z = -0.5:
-0.5 = (x - 500)/100
x = 450
c) For z = -2:
-2 = (x - 500)/100
x = 300
The z scores of 1.5, -0.5 and -2.0 corresponds with a raw score of 650, 450 and 300
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The mapping diagram represents a relation where x represents the independent variable and y represents the dependent variable. A mapping diagram with one circle labeled x-values containing values negative 8, negative 5, negative 1, 1, and 12 and another circle labeled y values containing values negative 4 and negative 2 and arrows from negative 8 to negative 4, negative 5 to negative 2, negative 1 to negative 2, 1 to negative 2, 12 to negative 4, and 12 to negative 2. Is the relation a function? Explain. Yes, because for each input there is exactly one output Yes, because for each output there is exactly one input No, because for each input there is not exactly one output No, because for each output there is not exactly one input
Is the relation a function: C. No, because for each input there is not exactly one output.
How to determine the relationships that represent functions?In Mathematics, a function is typically used for uniquely mapping an independent value (input variable or domain) to a dependent value (range or output variable).
This ultimately implies that, an independent value represents the value on the x-axis of a cartesian coordinate while a dependent value represents the value on the y-axis of a cartesian coordinate.
Since the independent value (12) is mapped to multiple dependent values (-4 and -2), we can logically deduce that the relation does not represent a function.
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3x2 − y3 − y3 − z if x = 3, y = −2, and z = −5.
Answer:
35
Step-by-step explanation:
3x2=6
or if x is variable :18
2x3=6
2x3=6
+5
add them all up:
18+6+6+5=35
let me know if something is confusing.
.Rotating 180 degrees clockwise is the same as rotating 180 degrees counterclockwise. true or false
Answer:
False.
Step-by-step explanation:
Counterclockwise is different from Clockwise.
Answer:
False
Step-by-step explanation:
They are rotating a different direction
this is an emergency please help!!!!!!!!!!!!!
its d0wn below will mark brainlist
Answer:
ill edit this message in a moment with the answers
Step-by-step explanation:
Write some numbers that are equal to 15:12.
Answer:
3:4, 30:24, 60:48
Step-by-step explanation:
Answer:
30:24
45:36
60:48
75:60
90:72
105:84
120:96
135:108
150:120
Step-by-step explanation:
hope it helps
the area of a triangle is 96 sq. inches. its altitude is 2 inches greater than five times its base. find the altitude.
If the area of a triangle is 96 sq. inches. its altitude is 2 inches greater than five times its base then the altitude is 32 inch
The area of a triangle is 96 sq. inches
Let base be b
Its altitude is 2 inches greater than five times its base.
a=5b+2
ab/2=A
(5b+2)b/2=96
(5b+2)b=192
5b²+2b=192
5b²2+2b-192=0
On solving the quadrartic equation,
we get
b=6
a=32
Therefore, if the area of a triangle is 96 sq. inches. its altitude is 2 inches greater than five times its base then the altitude is 32 inchs
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find a general solution to the given differential equation. z''+z'-9z=0
The general solution to the given differential equation is z(t) = C1*\(e^{(3t)}\) + C2*\(e^{(-3t)}\)
The given differential equation is a second-order linear homogeneous differential equation, which can be written as:
z'' + z' - 9z = 0
To find the general solution, we first need to solve the characteristic equation:
\(r^2\) + r - 9 = 0
By factoring or using the quadratic formula, we find the roots r1 and r2:
r1 = 3
r2 = -3
Since we have two distinct real roots, the general solution of the differential equation is:
z(t) = C1 * \(e^{(r1t)}\) + C2 * \(e^{(r2t)}\)
z(t) = C1 * \(e^{(3t)}\) + C2 * \(e^{(-3t)}\)
where C1 and C2 are arbitrary constants determined by initial conditions.
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Lukas is investing $16 000 that he would like to grow to at least $ 100 000 by the
time he retires in 50 years. What annual interest rate, compounded annually, will
provide this?
Answer:
$1,680 each year
Step-by-step explanation:
To answer this problem you first need to subtract 16,000 from 100,000 so 100,000-16,000=84,000. Then divide 84,000 by 50 which leaves you with the answer $1,680
Started at –20° and changed 0° whats is the slope
Answer:
See below
Step-by-step explanation:
Start out -20 and change 0° ?
then there is zero slope as this would be a horizontal line.
The side length of the cube is 5 cm. Find the volume of the cube.
Write an
equation for the parabola whose vertex is at (-1, 4) and passes
through (2,1).
Answer: y = -1/3(x + 1)² + 4
Step-by-step explanation:
First of all, we know that the graph is going to be a parabola
So we can start off with the parent function, y = x²
Using vertex form, y = a(x - h)² + k, where the vertex is point (h, k):
we have the formula: y = a(x + 1)² + 4
If the parabola must pass through the point (2,1), we can substitute these for x and y in our equation to find a, and finish the problem:
1 = a(2 + 1)² + 4
-3 = a(3)²
-3 = 9a
a = -1/3
based on this, our final formula will be y = -1/3(x + 1)² + 4
g(n)=n^2-4
h(n)=4n+5
find g°h
Answer: g(4n+5) = 16n^2 + 40n + 30
Step-by-step explanation:
g(n)=n^2-4
h(n)=4n+5
find g°h
g°h is g(4n+5) = (4n+5)^2 + 5
g(4n+5) = (16n^2 + 40n + 25) + 5
g(4n+5) = 16n^2 + 40n + 30
Hello i need help I would really appreciate it !!!
Answer:
They are vertically opposite angles implying that they are equal.
(6n-4)°=(5n+7)°
6n-4=5n+7
6n-5n=7+4
n=11
Step-by-step explanation:
Hope that this is helpful.
Have a nice day.
The following scores represent students' test grades in Ms. Mihal's math class.
Test Scores
78 84 78
85 93 85
84 78
93 85
84 78 84 78
93 85 93 85
What is the median score for Ms. Mihal's math class?
A
93
B
84.5
C
85
D
84
F
I don't know yet
Answer:
Definitely B 84.5
Just worked it out
Answer:
84.5
Step-by-step explanation:
List the numbers in order. I cross them out smallest then biggest and so on until I get either the one in the middle or the two in the middle. If It's only one in the middle that's your answer. If it's two in the middle find the average. In this case the middle two numbers were 85 and 84. 85+84= 169. 169/2=84.5. Hope this helps :)
Make a the subject of the formula v = u + at.
Hence, find the value of a when t = 4, u = 10 and v=50.
Step-by-step explanation:
v = u + at
v-u = at
a = (v -u)/t
When t = 4, u=10, v=50
a = (50-10)/4
a= 40/4
a = 10
Which of the following statements is meaningless?
A.There was a 3% decrease in the price of sugar.
B.There was a 200% increase in the population of a town.
C.There was a 120% decrease in the amount of water in a dam. D.There was a 0% change in the temperature in the room after 1 hour.
Answer:
(C)
Step-by-step explanation:
If can't have a meaning as something can't decrease more than 100% of itself.
The statement that is meaningless is
There was a 120% decrease in the amount of water in a dam.
Option C is the correct answer.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
A percentage increase can be of any number.
A percentage decrease can not be below 100%.
Now,
A.
There was a 3% decrease in the price of sugar.
This is possible.
B.
There was a 200% increase in the population of the town.
This is possible.
C.
There was a 120% decrease in the amount of water in a dam.
This is not possible.
The highest percentage decrease can be up to 100%.
D.
There was a 0% change in the temperature in the room after 1 hour.
This is possible.
Thus,
There was a 120% decrease in the amount of water in a dam is meaningless.
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Norman is 12 years older than Michael. In 6 years, he will be twice as old as Michael. How old is Michael 3
Michael is currently 6 years old and Norman is 18 years old. In 6 years, Michael will be 12 years old and Norman will be 24 years old.
Norman is 12 years older than Michael. To determine Michael's age we need to subtract 12 from the age Norman will be in 6 years. In 6 years, Norman will be twice as old as Michael.
Let N = Norman's age now
Let M = Michael's age now
N= M+ 12
N+ 6= 2 (M+6)
N- 12 = M
N+6=2(N- 12+6)
N+ 6 = 2(N-6)
N+ 6 = 2N - 12
18 = N
This means that in 6 years, Norman will be 24 years old. To determine Michael's age we need to subtract 12 from 24. This gives us 12, which is the age Michael will be in 6 years. Therefore, Michael is currently 6 years old and Norman is 18 years old. In 6 years, Michael will be 12 years old and Norman will be 24 years old.
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