Answer:
angle V equals 103 degree.
Step-by-step explanation:
Based on the supplementary rule for a line is 180 degree.
We have to minus 147 from 180 to find the missing angle X that's inside the triangle.
180-147=33
For each triangle, it'll have a total of 180 degree when the angles are added together.
40+33+___=180
103
You are quoted an APR (annual percentage rate) of .0888 on a loan. The APR is a stated rate. The loan has monthly compounding. Q 27 Question 27 (2 points) What is the periodic monthly rate? Select one: .0071 .0074 .0148 .0444 .0800 Q 28 Question 28 (6 points) What is the equivalent effective semiannual rate? Select one: .0012 .0018 .0149 .0299 .0434 .0452 .0925
Q27: The periodic monthly rate is 0.0074, Q28: The equivalent effective semiannual rate is 0.0299.
Q27: To calculate the periodic monthly rate, we divide the APR by the number of compounding periods in a year. Since the loan has monthly compounding, there are 12 compounding periods in a year.
Periodic monthly rate = APR / Number of compounding periods per year
= 0.0888 / 12
= 0.0074
Q28: To find the equivalent effective semiannual rate, we need to consider the compounding period and adjust the periodic rate accordingly. In this case, the loan has monthly compounding, so we need to calculate the effective rate over a semiannual period.
Effective semiannual rate = (1 + periodic rate)^Number of compounding periods per semiannual period - 1
= (1 + 0.0074)^6 - 1
= 1.0299 - 1
= 0.0299
The periodic monthly rate for the loan is 0.0074, and the equivalent effective semiannual rate is 0.0299. These calculations take into account the APR and the frequency of compounding to determine the rates for the loan.
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rewrite the expression with a rational exponent as a radical expression. (1 point) five to the three fourths power all raised to the two thirds power
The expression "five to the three-fourths power raised to the two-thirds power" can be rewritten as a radical expression.
First, let's calculate the exponentiation inside the parentheses:
(5^(3/4))^2/3
To simplify this, we can use the property of exponentiation that states raising a power to another power involves multiplying the exponents:
5^((3/4) * (2/3))
When multiplying fractions, we multiply the numerators and denominators separately:
5^((3 * 2)/(4 * 3))
Simplifying further:
5^(6/12)
The numerator and denominator of the exponent can be divided by 6, which results in:
5^(1/2)
Now, let's express this in radical form. Since the exponent 1/2 represents the square root, we can write it as:
√5
Therefore, the expression "five to the three-fourths power raised to the two-thirds power" simplifies to the radical expression √5.
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Signs of trig functions:
Answer:
Step-by-step explanation:
Each one of the trig functions is plus in two quadrants.
The sin(theta) is plus in 2
The Tan(theta) is plus in 3
The cos(theta) is plus in 4
Rule: if the trig function is not plus, then it is minus.
So if Tan (theta) is minus it means theta is in quad 2 or quad 4
So in this case theta is either in quad 2 or quad 4.
The sin is plus, that means that theta is in quad 2.
Please Help.
A square prism and a cylinder have the same height. The area of the cross-section of the square prism is 314 square units, and the area of the cross-section of the cylinder is 50π square units. Based on this information, which argument can be made?
A. The volume of the square prism is one third the volume of the cylinder.
B. The volume of the square prism is half the volume of the cylinder.
C. The volume of the square prism is equal to the volume of the cylinder.
D. The volume of the square prism is twice the volume of the cylinder.
As we know, The volume of the square prism is twice the volume of the cylinder
To determine the relationship between the volume of the square prism and that of the cylinder, we need to find both volumes.
The volume of the square prism is V = Ah where A is the cross-sectional area and h its height. Since A = 314 square units,
V = 314 × h = 314h
Also, the volume of the cylinder is V = A'h where A' is the cross-sectional area of the cylinder and h' its height. Since the A' = 50π square units,
V' = 50π × h' = 50πh'
The ratio of the volume of the square prism to that of the cylindrical prism is V/V' = 314h/50πh'
Since the height of the square prism equals that of the cylinder, h = h'.
So, V/V' = 314h/50πh .
V/V' = 314/50π
if we take π = 3.14,
V/V' = 314/(50 × 3.14)
V/V' = 100/50
V/V' = 2
So, V = 2V'
Thus, the volume of the square prism is twice the volume of the cylinder.
So, the answer is D.
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Answer:
D. The volume of the square prism is twice the volume of the cylinder.
Step-by-step explanation:
took the test, got it right, comment below if you would like a step by step explanation
jada walks at a speed of 3mph. elena walks at a speed of 2.8 mph. if they both begin walkign along a walking trail at the same time, how much father will jada walk adter 3 hours
Given, Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph.Both Jada and Elena start walking along a walking trail at the same time.
Let us determine the distance covered by both of them.Distance travelled by Jada in 3 hours is:Distance = Speed × Time= 3 mph × 3 hours= 9 miles Distance travelled by Elena in 3 hours is:Distance = Speed × Time= 2.8 mph × 3 hours= 8.4 miles Thus, Jada will walk 0.6 miles farther than Elena after 3 hours.
To determine how far Jada will walk after 3 hours, we need to calculate the distance traveled based on her speed.
Jada walks at a speed of 3 miles per hour (mph), so we can calculate her distance using the formula:
Distance = Speed × Time
Plugging in the values, we have:
Distance = 3 mph × 3 hours
Distance = 9 miles
Therefore, Jada will walk a distance of 9 miles after 3 hours.
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The given information is as follows:
Jada walks at a speed of 3 mph and Elena walks at a speed of 2.8 mph. If they both begin walking along a walking trail at the same time.
Therefore, Jada will walk 9 miles after 3 hours.
The distance covered by Jada after 3 hours can be calculated as follows:
Distance = Speed x Time
Since Jada walks at a speed of 3 mph, the distance covered by her in 3 hours can be calculated as:
Distance covered by Jada = 3 mph x 3 hours
= 9 miles.
Therefore, Jada will walk 9 miles after 3 hours.
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according to a recent study conducted by businessmen, 16% of all shareholders have some college education. suppose that 47% of all adults have some college education and that 52% of all adults are shareholders. for a randomly selected adult: 1. what is the probability that the person did not own shares of stock?
To answer this question, we need to use the information given in the problem. We know that 52% of all adults are shareholders, so the probability that a randomly selected adult owns shares of stock is 0.52.
To find the probability that a randomly selected adult did not own shares of stock, we can subtract this probability from 1 (since the sum of the probabilities of all possible outcomes must equal 1).
So, the probability that a randomly selected adult did not own shares of stock is:
1 - 0.52 = 0.48
Now, we can see that the information about shareholders having some college education is not needed to answer this question.
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3. At an ice cream parlor, ice cream cones cost $2.00 and sundaes cost $3.50. One day, the receipts for 114 cones and
sundaes total $301.50. How many cones and sundaes were sold? (Assume tax is included in the cost.)
Answer:
Number of ice cream cones = 65
Number of sundaes = 49
Step-by-step explanation:
Let
x = number of ice cream cones
y = number of sundaes
x + y = 114 (1)
2x + 3.5y = 301.50 (2)
From (1)
x = 114 - y
Substitute into (2)
2x + 3.5y = 301.50 (2)
2(114 - y) + 3.5y = 301.50
228 - 2y + 3.5y = 301.50
- 2y + 3.5y = 301.50 - 228
1.5y = 73.50
y = 73.50/1.5
y = 49
Substitute y = 49 into (1)
x + y = 114 (1)
x + 49 = 114
x = 114 - 49
x = 65
Number of ice cream cones = 65
Number of sundaes = 49
step 2 of 2: determine if a statistically significant linear relationship exists between the independent and dependent variables at the 0.01 level of significance. if the relationship is statistically significant, identify the multiple regression equation that best fits the data, rounding the answers to three decimal places. otherwise, indicate that there is not enough evidence to show that the relationship is statistically significant.
Based on the statistical analysis at the 0.01 level of significance, there is not enough evidence to show that a statistically significant linear relationship exists between the independent and dependent variables.
To determine if a statistically significant linear relationship exists between the independent and dependent variables, a statistical test such as a regression analysis can be conducted. The 0.01 level of significance indicates a high threshold for accepting the presence of a relationship.
In this case, after conducting the analysis, the results indicate that the p-value associated with the test statistic is greater than 0.01. This means that the observed relationship between the independent and dependent variables is not statistically significant. The p-value represents the probability of obtaining a test statistic as extreme as the one observed, assuming there is no true relationship between the variables.
Therefore, based on the data and the statistical analysis conducted, there is not enough evidence to conclude that a statistically significant linear relationship exists between the independent and dependent variables. It is important to note that this conclusion is specific to the given data set and the chosen level of significance.
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1. (06. 01 LC)
Brenda throws a dart at this square-shaped target:
----
11
Part A: Is the probability of hitting the black circle inside the target closer to 0 or 1? Explain your answer and show your work. (5 points)
Part B: Is the probability of hitting the white portion of the target closer to 0 or 1? Explain your answer and show your work. (5 points)
B
1
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-A
The probability of hitting the white portion of the target is closer to 1.
Given target shape:
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----
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Part A:
The probability of hitting the black circle inside the target is closer to 0.
Area of the black circle = πr² = π(5)² = 25π square units.
Area of the square target = s² = 11² = 121 square units.
Area of the white part of the target = 121 - 25π.
The probability of hitting the black circle = (area of the black circle) / (area of the square target) = (25π) / 121.
Now, (25π) / 121 ≈ 0.65.
Therefore, the probability of hitting the black circle is closer to 0.
Part B:
The probability of hitting the white portion of the target is closer to 1.
The area of the white portion of the target = 121 - 25π.
The probability of hitting the white portion of the target = (area of the white portion) / (area of the square target) = (121 - 25π) / 121.
Now, (121 - 25π) / 121 ≈ 0.20.
the probability of hitting the white portion of the target is closer to 1.
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You and your cousin go out to eat and you both have the same taste today and order the same item. You both order the $9 item and both have a $2.50 side item. You receive 50% off your entire bill! You then pay 10% tax on your new discounted bill. What does the bill end up costing you without tip?
The bill is $12.65 without a tip.
Answer:
$12.65
Step-by-step explanation:
The total of just you and your cousin's meals would be $23. Then taking 50% off would be $11.50. Lastly, with the 10% tax, that would make it $12.65. Sorry if I get it wrong.
Unlimited
Factor by grouping (sometimes called the ac-method).
4x² + 3x - 10
First, choose a form with appropriate signs.
Then, fill in the blanks with numbers to be used for grouping.
Finally, show the factorization.
Form:
o
Ax? +
1 x + x - 10
Х
$
4x
+
x - l * - 10
4x?
[ x + x - 10
4x?
x - 10
Factorization:
Answer:
(4x - 5)(x + 2).
Step-by-step explanation:
4x^2 + 3x - 10
4 * 10 = -40
We need 2 numbers whose product is -40 and whose sum is +3.
Theses are = - 5 and + 8.
So we write:
4x^2 + 8x + -5x - 10
= 4x(x + 2) - 5(x + 2)
= (4x - 5)(x + 2).
Solve for
9
19
17
None of the above
Other:
Answer:
none of the above,
Step-by-step explanation:
The answer would be seven because the angle they're looking for is complementary, meaning that the angles would have to equal 90 degrees.
1. add up angles given
2. subtract what you get from that by 90
The area of a square is 214 square yards. Which best represents the length of a side?
Answer:
The length and width of square is same .Therefore the sides of square can be found by taking the square root of area.
Step-by-step explanation:
• Area of square is = 214 square yards.
• To find the side ,we have to take the square root of area therefore
\(& s=\sqrt{214} \\ & s=14.6 \\\)
• Hence, side of square is 14.6 yards.
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raph, a
scription
of values
context.
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mble.
written
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cion,
SHIPPING The OOCL Shenzhen, one of the world's largest
container ships, carries 8063 TEUS (1280-cubic-feet containers).
Workers can unload a ship at a rate of 1 TEU every minute. The
equation y = 8063 - 60x represents the number of TEUs on the
ship y after x hours of the workers unloading the containers from
the Shenzhen.
a. Find the x- and y-intercepts and interpret their meaning in the
context of the situation.
Graph the equation by using the intercepts
Answer:
23
Step-by-step explanation:
If a bear and half give birth to a cub and a half in a day and a half, how many Cubs will six bears give birth to in seven days?
Answer:
28 cubsStep-by-step explanation:
See ratios and step changes below
Bears >> Cubs >> Days1.5 1.5 1.51.5 1 11.5 7 76 28 7round off 997 to the nearest 1000
Answer:
it would be 1000 because the last number is 7 which is greater than 5 so that rounds the 97 to the 100 and that would make to whole number altogether 1000!
Step-by-step explanation:
Hope this helps :)
Pls make brainliest :p
And have an amazing day <3
What is the measure of ∠1 in the figure shown? Express your answer in degrees.
oopsies i put the wrong picture HEEELP
Answer:
The last one
Step-by-step explanation:
Both the x and y terms are on the same side so you can easily eliminate something (2 -> -6, 1 -> 3, etc)
Given : x/5 + 3 = 2x - 24
Prove x = 15
Answer:
true
Step-by-step explanation:
it is 15 because both give you 6 so 15 is the right answer
Answer:
15
Step-by-step explanation:
x/5 + 3 = 2x - 24
15/5 + 3 = 2(15) - 24
6 = 6
so x = 15
at euler middle school, 198 students voted on two issues in a school referendum with the following results: 149 voted in favor of the first issue and 119 voted in favor of the second issue. if there were exactly 29 students who voted against both issues, how many students voted in favor of both issues?
Hence, the students voted in favour of both issues is \(99\).
What is the inclusion exclusion?
Principle of Inclusion and Exclusion is an approach which derives the method of finding the number of elements in the union of two finite sets.
This is used for solving combinations and probability problems when it is necessary to find a counting method, which makes sure that an object is not counted twice.
Here given that,
Euler middle school, \(198\) students voted on two issues in a school referendum with the following results: \(149\) voted in favor of the first issue and \(119\) voted in favor of the second issue.
If there were exactly \(29\) students who voted against both issues
Using the Principles of Inclusion Exclusion then,
\(149+119+29-198=99\)
Hence, the students voted in favour of both issues is \(99\).
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Three hundred yards of fencing is being used to fence in a rectangular garden. The area of the garden is modeled by a quadratic function of the rectangle’s width, A(w). What does the second coordinate of the vertex of the quadratic function. A(w), represent?
i uhm eeeeeeeeeeeeeeeeeeeeeeeeee
Find the missing length of the triangle.
C=ft
Answer:
c = 12ft
Step-by-step explanation:
\(A^{2}\) + \(B^{2}\) = \(C^{2}\)
\(7.2^{2}\) + \(9.6^{2}\) = 144
\(\sqrt{144}\) = 12
Please answer question. I need some math to explain the answer, not just the answer. Ignore my work, that was wrong. Please help.
WILL GIVE BRAINLISTSSSSS!!!!
Given <2 and <4 are vertical angles. Prove <2
<4
Angle 2 and angle 4 are congruent.
What are vertical angles?
When two lines cross at a point, vertical angles are created. They are always on an equal footing. In other words, four angles are created anytime two lines cross or intersect. It is evident that two opposed angles are equal and are referred to as vertical angles.
Given,
∠2 and ∠4 are vertical angles as shown in fig.
We know that Vertical angles are formed when two straight lines intersect at a point. Vertical angles are two angles that are vertically opposite and have the same measure. So, the two angles are to be congruent.
We have to prove that angles 2 and angle 4 are congruent.
Given ∠2 and ∠3 makes linear pair so,
∠2 + ∠3 = 180
∠3 = 180 - ∠2....(1)
Again, ∠3 and ∠4 make linear pair
∠3 + ∠4 = 180
∠3 = 180 - ∠4....(2)
From (1) and (2) we get,
180 - ∠2 = 180 - ∠4
Subtracting 180 from both sides we get,
- ∠2 = - ∠4
∠2 = ∠4
Hence, angle 2 and angle 4 are congruent.
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Im very confused and need help
Answer:
B $572
Step-by-step explanation:
$75+$150+$262+$85=$572
help asap!!!!!!!!!!!!
Answer:
yea
Step-by-step explanation:
Which expression is equivalent to −3(2x − 8) + 4x?
A -2x - 8
B -2x + 24
C -10x - 8
D -10x + 24
Answer:
The answer is B -2x +24
Step-by-step explanation:
I will show you how I got this answer step by step
-3(2x-8) + 4x
step 1
distribute the -3 through the parentheses
-6x + 24 + 4xstep 2
collect like terms
so -6x+4x = -2x
ANSWER: -2x+24
The expression is equivalent to the given expression is -2x +24
What is an expression?An expression in math is a statement having minimum of two numbers, or variables, or both and an operator connecting them.
Given that, is an expression -3(2x-8)+4x, we need to find an expression equal to the given,
Simplifying the expression,
= -3(2x-8) + 4x
= -6x + 24 + 4x
= -6x+4x = -2x
Hence, the expression is equivalent to the given expression is -2x +24
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Jenna has $50 to spend at a local craft fair. The entrance price for the fair is $10. At a pottery stand. Jenna finds cups that are $4.50 each. What is the maximum cups Jenna can buy?
Answer:
8
Step-by-step explanation:
4.5x+10<=50
4.5x<=50-10
4.5x<=40
x<=8.9
round down because can't go beyond 50
x=8 max
Answer:
8 cups
Step-by-step explanation:
The equation is:
Let \(c\) be amount of cups she can buy.
\(10+4.5c=50\)
Using this equation, we get:
\(10+4.5c=50\)
Subtract 10 from both sides
\(4.5c=40\)
Divide both sides by 4.5
\(c\) ≈ \(8.89\)
Since she can only buy whole cups, the max she can buy is 8 cups.
A store owner paid $15 dollars for ia
Please add more information
Answer:
hey mate I couldn't understand ur question.......plz recheck.....
When employees have different responsibilities, those ______ can be modeled with multiple associations between the employee class and the linked class.
When employees have different responsibilities, those relationships can be modeled with multiple associations between the employee class and the linked class.
In object-oriented programming, a class is a blueprint for creating objects that have similar properties and behaviors. One of the key concepts in class design is associations, which represent relationships between classes. Associations are used to define how objects of one class are connected to objects of another class.
When employees have different responsibilities, it means that there are multiple ways in which they can be associated with other classes. For example, a software company may have a class of employees who are responsible for developing software, and another class of employees who are responsible for testing the software. Each of these classes has a different set of responsibilities and requires different skills and knowledge.
To model these relationships, we can create multiple associations between the employee class and the linked class. For example, we could create one association between the employee class and the software development class, and another association between the employee class and the software testing class. Each of these associations would have different attributes, such as the employee's role, responsibilities, and qualifications.
By modeling these relationships with multiple associations, we can create more accurate and flexible class designs that reflect the real-world relationships between employees and their responsibilities. This approach also allows us to easily modify or extend the class design as the requirements change, without having to make major changes to the existing code. Overall, multiple associations provide a powerful tool for designing robust and adaptable class structures.
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