What is the solution of 8=3/4a+12-a+4
Answer:
0
Step-by-step explanation:
A CD that has a regular price of $15.50 is on sale at a 25% discount. What is the sale price with a 7% sales tax? Round to the nearest cent.
Answer:
The answer should be $12.43
A correlation coefficient of is the amount of the variance in the dependent variable unexplained by the levels of the independent variable alleged to produce the effect under study. A correlation coefficient of 0.3 leaves what percent of the variance in the dependent variable unexplained by the independent variable
The percent of the variance in the dependent variable unexplained by the independent variable is 81%
What does correlation coefficient mean?A correlation coefficient is a statistical indicator of how well changes in one variable's value predict changes in another. When two variables are positively correlated, the value either rises or falls together.
9 percent of the variance is explained by the independent variable if the correlation coefficient is 0.3.
The correlation coefficient is therefore represented as follows:
\(r = 0.3\)
The explained variance is found using the following formula:
\(R^{2} = r^{2} \\R^{2} = (0.3)^{2} \\R^{2} = (0.3)*(0.3)\\R^{2} = 0.9\)
Thus, 81% of the variance remains unexplained by variations in the independent variable.
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an unnormalized relation is a table that has more than one row.
An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.
Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.
In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.
To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.
In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.
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What is the value of x?
round to the nearest tenth, if necessary.
x = 6
x = 11
x = 11.5
x = 13.6
right triangle a b c with right angle b. side b c is 8 units long. side a c is 14 units long. side a b is x units long.
Using the Pythagorean theorem, the value of x, rounded to the nearest tenth, is 11.5 units.
In the given right triangle ABC with right angle B, you are given the lengths of sides BC (8 units) and AC (14 units). You are asked to find the length of side AB (x units). To do this, you can use the Pythagorean theorem, which states that the square of the hypotenuse (AC) is equal to the sum of the squares of the other two sides (AB and BC).
So, the equation for this triangle is:
AC² = AB² + BC²
Plug in the given values:
14² = x² + 8²
196 = x² + 64
Subtract 64 from both sides:
132 = x²
Now, find the square root of 132:
x ≈ 11.5
So, the value of x, rounded to the nearest tenth, is 11.5 units.
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Using complete sentences, describe the error in the steps used to solve the equation. There will be no problems that don’t have an error.
“The error was made when.....”
Answer:
I believe that the error is that sqrt(-2) should be equal to sqrt(2) * i
Step-by-step explanation:
The rest of the steps all use proper algebraic rules, but the square root of a*b = sqrt(a)*sqrt(b)
1 2/3 x 2 1/4 =
answer asap and correct pls.
Answer:
the answer is 3.75
Step-by-step explanation:
I got the answer in decimal
Solve for r.
–16r + 15 + 17 = 7(–3r + 16) − 5r
r =
Answer:
r = 8
Step-by-step explanation:
→Distribute the 7 to (-3r + 16):
-16r + 15 + 17 = 7(-3r + 16) - 5r
-16r + 15 + 17 = -21r + 112 - 5r
→Add like terms:
-16r + 32 = -26r + 112
→Add 26r to both sides:
10r + 32 = 112
→Subtract 32 from both sides:
10r = 80
→Divide both sides by 10:
r = 8
Answer:
Step-by-step explanation:
-16r +15+17= 7(-3r+16)-5r
-16r+32 = -21r +112-5r
-16r +26r=112-32
10r =80
r=80/10
r=8
mark me as the brainliest and hope it helps you..
Graph the line.
y=-2x-3
please please hurry! 15 points
Answer:
you want to put your first pint at negative 3 on the Y axis. and then you want to go down 2 and right 1 to crest your slope.
.
Which equation is a step in solving the equation |5 − 3x| + 2 = 19?
A.
5 − 3x = -17
B.
|5 − 3x| = -17
C.
5 + 3x = -17
D.
|5 + 3x| = 17
Answer:
Step-by-step explanation:
The absolute value (or modulus) | 5 - 3x | of a real number 5 - 3x is the non-negative value of 5 - 3x without regard to its sign.
| 5 - 3x| + 2 = 19
| 5 + 3x | = 19 - 2
| 5 + 3x | = 17
Ans: D
solve as whole number
Answer: x < 25
Step-by-step explanation:
2/3(x+2)-1/2(x-4)>1/4(x+5)
2/3x+4/3-1/2x+2>1/4x+5/4
Multiply both sides by 12
8x+40-6x>3x+15
2x+40>3x+15
2x-3x>15-40
-x > -25
x<25
Answer:
{x:x=[[3,4,5,6...]}
Step-by-step explanation:
x∈W
\(\frac{2}{3}(x+2)-\frac{1}{2}(x-4)>\frac{1}{4}(x+5)\\\frac{2x+4}{3}-\frac{x+4}{2}>\frac{x+5}{4} \\\frac{2(2x+4)-3(x+4)}{2*3}>\frac{x+5}{4} \\\frac{4x+8+3x-12}{6}>\frac{x+5}{4} \\\frac{x}{y} \frac{x-4}{6}>\frac{x+5}{4}\\ 4(x-4)>6(x+5)\\ 4x-16>6x+30\\ 4x-6x>30+16\\ -2x>46\\ x<-23\\x= no solution\)
In geometry, what might be the consequences of an unjustified or inaccurate conclusion?
Answer:
Step-by-step explanation:
In geometry, an incorrect conclusion within a proof might lead to wrong estimations of size, length, and other spatial properties. It can cause disastrous outcome in real world. Especially when lives are involved, such as space shuttle projects, or building constructions .
lena purchased a prepaid phone card for $20. long distance call cost 18 cents a minute using this card. Lena used her cared only once to make a libg distance call. if the remaining credit on her card is $13.34, how many minutes did her call last?
Answer:
37 minutes
Step-by-step explanation:
We start by finding the difference between the original amount and what is left
Mathematically, that will be;
20-13.34 = 6.66
To
cents that will be 6.66 * 100 = 666 cents
We now divide by the amount per minute
The amount per minute is 18 cents
Thus, the number of minutes will
be 666/18 = 37
PLEASE HELP ME!!!!!!!
Answer:
x=6
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
find the values of X and y
Answer:
x=17/1/7, y=8/4/7
Step-by-step explanation:
x:
30/30+x=14/22
420+14x=660
14x+240
x=17/1/7
y:
14/22=15/15+y
210+14y=330
14y=120
y=8/4/7
Answer:
x = \(17\frac{1}{7}\)
y = \(8\frac{4}{7}\)
Step-by-step explanation:
1. Lines DE and AC are parallel.
Therefore, by the Triangle Proportionality Theorem:
\(\frac{SideBD}{SideAD} = \frac{SideBE}{SideEC}\)
= \(\frac{30}{x} = \frac{15}{y}\)
Rearranging:
\(\frac{30}{15} = \frac{x}{y}\)
\(2 = \frac{x}{y}\)
Cross-multiplication is applied:
\((x)(1) = (2)(y)\)
\(x = 2y\) —-(equation i)
2. ΔBDE and ΔBAC are similar triangles
Which means:
\(\frac{SideBD}{SideDE} = \frac{SideBA}{SideAC}\)
\(\frac{30}{14} = \frac{30 + x}{22}\)
Cross-multiplication is applied
\((14)(30 + x) = (30)(22)\)
\(420 + 14x= 660\)
\(14x = 660 - 420\)
\(14x = 240\)
\(x = \frac{240}{14}\)
Reduce the numerator and denominator by the Highest Common Factor (2):
∴x = \(\frac{120}{7}\)
=\(17\frac{1}{7}\)
Substitute the value of x in (equation i) to solve for y:
\(\frac{120}{7} = 2y\)
\(y = \frac{120}{7(2)}\)
∴y = \(\frac{60}{7}\)
= \(8\frac{4}{7}\)
Simplify each expression. Rationalize all denominators.
√3 4/0.5x
The simplified and rationalized expression is: (4√3)/x.
To simplify the expression and rationalize the denominator, we need to rewrite the expression with a rational denominator.
First, let's simplify the expression: √3 4/0.5x.
To simplify the square root term, we can write it as: √(3 * 4)/(0.5x).
Simplifying the numerator: √12/(0.5x).
Next, let's rationalize the denominator by multiplying both the numerator and the denominator by 2:
(√12 * 2)/((0.5x) * 2).
Simplifying further: (2√12)/(1x).
Finally, simplifying the square root term: (2√(4 * 3))/x.
Simplifying the square root: (2 * 2√3)/x.
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For their unit on the legislative branch, Mr. Escue's government class will have 1 test and 5 homework assignments to complete.
If the test is worth 100 points and each homework assignment is work 20% of the test, how many points may be earned during this unit?
Answer:
100
Step-by-step explanation:
Answer:
200
Step-by-step explanation:
Caroline wants to buy 100 g of spice mix from a British or French website.
The conversion rate is €1 = £0.85
What is the price, including delivery costs, that Caroline would pay for the spice mix from the cheaper website? Give your answer in pounds (£).
British website: £0.90 for 25 g Free delivery.
French website: €1.20 for 50 g €0.80 delivery per order.
The website which is cheaper for Caroline to buy the spice mix is French website.
Given data ,
Let's calculate the total cost for Caroline from both websites and determine which one is cheaper.
British website:
Price for 100 g = (£0.90 / 25 g) * 100 g = £3.60
Since the British website offers free delivery, the total cost remains £3.60.
French website:
Price for 100 g = (€1.20 / 50 g) * 100 g = €2.40
Delivery cost = €0.80
On simplifying the equation , we get
To convert the price and delivery cost to pounds, we'll use the conversion rate: €1 = £0.85.
Price in pounds = €2.40 * £0.85 = £2.04
Delivery cost in pounds = €0.80 * £0.85 = £0.68
Total cost = Price in pounds + Delivery cost = £2.04 + £0.68 = £2.72
Comparing the total costs:
British website: £3.60
French website: £2.72
Hence , Caroline would pay £2.72 for the spice mix from the cheaper website, which is the French website.
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A students claims that the graph of the equation y = 4(x - 8) is the same as the graph y= 4x only translated downwards by 8 units. Do you agree? Explain why or why not?
Answer:
I don't agree
Step-by-step explanation:
y = 4(x-8) can be rewritten as 4x - 32 since we can use distribution to multiply 4 to x and -8. However, the student claims y = 4x-8 is the same as 4(x-8), which isn't true.
The student's claim that the graph of the equation y = 4(x - 8) is the same as the graph y= 4x is incorrect
TransformationFunction transformation involves changing the form of the function
The original function is given as:
\(y = 4x\)
TranslationWhen the function is translated downward by 8 units, the rule of the translation is:
\((x,y) \to (x,y-8)\)
So, the new function is:
\(y = 4x -8\)
By comparison:
\(y = 4x -8\) and \(y = 4(x -8)\) are not the same
Hence, the student's claim is incorrect
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Please explain how you got to the answer. Brainly!!!!!
Answer:
11. 4
12. 2
13. 2
14. 2
15. 3
Step-by-step explanation:
Now that you already know how to find the degree of a monomial, we move to the degree of a polynomial. A polynomial is a sum of monomials. Each monomial that is part of a polynomial is called a term of the polynomial.
To find the degree of a polynomial, find the degree of each term of the polynomial. Then the highest degree of all the monomials is the degree of the polynomial.
11.
4x³y has degree 4
3x²y² has degree 4
-y³ has degree 3
The highets degree of all terms is 4, so the degree of the polynomial is 4.
12.
a has degree 1
b has degree 1
-c² has degree 2
The degree of the polynomial is 2.
13.
The degrees of the terms are, in order, 2, 2, 2.
The degree of the polynomial is 2.
14.
The degrees of the terms are, in order, 1, 2, 1.
The degree of the polynomial is 2.
15.
The degrees of the terms are, in order, 3, 2, 1.
The degree of the polynomial is 3.
The citizens of Herrington County have an existing dog
park for dogs to play, but have decided to build another
one so that one park will be for small dogs and the other
will be for large dogs. The plan is to build a rectangular
fenced in area adjacent to the existing dog park, as
shown in the sketch. The county has enough money in
the budget to buy 1000 feet of fencing.
What should the dimensions of the dog park be to maximize the area?What is the maximum area of the park?
To maximise the area it should be build as a square having side=250 feet each and having area=62500 feet.
what are squares?
A square is a two-dimensional plane figure with four equal sides and all four angles are equal to 90 degrees. The properties of the rectangle are somewhat similar to a square, but the difference between the two is, a rectangle has only its opposite sides equal. Therefore, a rectangle is called a square only if all its four sides are of equal length.
The most important properties of a square are listed below:
All four interior angles are equal to 90°.All four sides of the square are congruent or equal to each other.The opposite sides of the square are parallel to each other.The diagonals of the square bisect each other at 90°.The two diagonals of the square are equal to each other.The square has 4 vertices and 4 sides.The diagonal of the square divides into two similar isosceles triangles.The length of diagonals is greater than the sides of the square.Area of square=(side)²
Perimeter of square=4*side
Now,
Given
total fencing available=1000feet
perimeter=1000
4*s=1000
s=250 feet
Therefore,
Area=250^2
=62500 feet^2
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There are blue , black and yellow counters in the bag in the ratio 5:2:9
What fraction of the counters are yellow?
9/16
I think you first add all the ratios then use the answer you got as a dinominator then the ratio of the yellow counter as you nominator
Assume that each year the IRS randomly audits 20% of the tax returns. If a married couple has filed separate returns, answer the following questions. (a) What is the probability that both the husband and the wife will be audited? ____
(b) What is the probability that only one of them will be audited? ____
(c) What is the probability that neither one of them will be audited? _____
(d) What is the probability that at least one of them will be audited? ___
a) The probability that both the husband and the wife will be audited is 0.04.
b) The probability that only one of them will be audited is 0.32.
c) The probability that neither one of them will be audited is 0.36.
d) The probability that at least one of them will be audited is 0.36.
(a) The probability that both the husband and the wife will be audited is calculated by multiplying the probability that the husband will be audited by the probability that the wife will be audited. Since the audits are assumed to be independent, we can use the multiplication rule of probability:
P(both audited) = P(husband audited) x P(wife audited)
= 0.2 x 0.2
= 0.04
(b) The probability that only one of them will be audited can be calculated in two ways: either the husband is audited and the wife is not, or the wife is audited and the husband is not. Since these events are mutually exclusive, we can use the addition rule of probability:
P(one audited) = P(husband audited and wife not audited) + P(wife audited and husband not audited)
= (0.2 x 0.8) + (0.8 x 0.2)
= 0.32
(c) The probability that neither one of them will be audited is the complement of the probability that at least one of them will be audited. Using the complement rule of probability, we can write:
P(neither audited) = 1 - P(at least one audited)
We can find the probability that at least one of them will be audited by subtracting the probability that neither of them will be audited from 1. So:
P(at least one audited) = 1 - P(neither audited)
= 1 - (0.8 x 0.8)
= 0.36
(d) The probability that at least one of them will be audited is 0.36, as we found in part (c).
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Can someone please help me with this question please help me.
James scored a total of 16 points during a basketball game. During the game, he made only free throws, worth 1 point each, and 3-point baskets. He made a total of 10 free-throws and 3-point baskets. Determine exactly how many free throws and how man 3-point basket James made during the game.
Answer:
x = 7 , y = 3 , or 7 free throws, and 3 3-pointers.
Step-by-step explanation:
James scored a total of 16 points during a basketball. Only free throws and 3-point baskets are used. Free throws = 1 point (x), 3-pointers = 3 points (y).
Set the equations:
16 = x + 3y
10 = x + y
First, isolate the variable x in the second equation. Divide y from both sides of the equation:
10 (-y) = x + y (-y)
x = 10 - y
Next, plug in 10 - y for x in the first equation:
16 = x + 3y
16 = (10 - y) + 3y
Simplify. Combine like terms:
16 = 10 - y + 3y
16 = 10 + (-y + 3y)
16 = 10 + 2y
Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, subtract 10 from both sides of the equation:
16 (-10) = 10 (-10) + 2y
2y = 16 - 10
2y = 6
Next, divide 2 from both sides:
(2y)/2 = (6)/2
y = 6/2 = 3
Plug in 3 for y in one of the equations:
16 = x + 3y
16 = x + 3(3)
16 = x + 9
Isolate the variable, subtract 9 from both sides of the equation:
16 (-9) = x + 9 (-9)
x = 16 - 9
x = 7
x = 7 , y = 3 , or 7 free throws, and 3 3-pointers.
Plug in to check:
16 = x + 3y
10 = x + y
16 = (7) + 3(3)
16 = 7 + 9
16 = 16 (True)
10 = (7) + (3)
10 = 10 (True).
~
Answer:
x = 7 , y = 3 or 7 free throws, and 3 3-pointers.
Step-by-step explanation:
Rewrite 7.13 as a mixed number in lowest terms
Hey there! I'm happy to help!
A mixed number is a whole number and a fraction. We already see that our whole number is 7.
Our decimal is 0.13. Since this goes into the hundredths place, we can rewrite this as 13/100. This cannot be simplified anymore.
Therefore, 7.13 is 7 13/100 in lowest terms.
Have a wonderful day! :D
You are given the function h(t)=(t^2)+2t+1. Find h(-2).
h(-2) = (-2)^2 + 2(-2) + 1 = 4 - 4 + 1 = 1. To find h(-2), we substitute -2 for t in the function h(t) = t^2 + 2t + 1. Plugging in -2, we get (-2)^2 + 2(-2) + 1 = 4 - 4 + 1 = 1.
To find h(-2), we substitute -2 for t in the function h(t) = t^2 + 2t + 1. Plugging in -2, we get (-2)^2 + 2(-2) + 1 = 4 - 4 + 1 = 1.
Conclusion: Therefore, h(-2) evaluates to 1.
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Fill in the blanks and explain the pattern.
1/2, 1/6, 1/18, 1/54, ___, ___, ____
Answer:
1/2, 1/6, 1/18, 1/54, 1/162, 1/486, 1/1458
You multiply the previous number by 1/3
Step-by-step explanation:
1. Find out weither the pattern is a geometric sequence or an aritmatic sequence. It is a geometric sequence becuse you multiply the last number by 1/3.
The congruence theorem that can be used to
prove ABAE = ACAD is
SSS.
O ASA.
SAS.
HL.
what is the answer?
Answer:
The answer is HL which is option D.
Step-by-step explanation:
Congruent shapes have equal corresponding sides and angles.
The congruence theorem that can be used to prove is HL
\(\triangle BAE \cong \triangle CAD\) means that, the triangles are congruent.
From the figure, we have the following congruent sides
AB and AC --- SideAE and AD --- SideBE and CE --- Side (Hypotenuse Leg)The above highlights mean that the theorem can be used to prove that the triangles are congruent is HL.
This is so, because the hypotenuse of both triangles are equal.
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BINOMIAL DISTRIBUTION, probability of getting 7 or more heads (
10 flips)
Suppose the question was instead "what is the probability of
getting at least ONE head?" How would you solve that?
The probability of getting at least one head in 10 flips is approximately 0.9990234375 or 99.9%.
To calculate the probability of getting at least one head in 10 flips using a binomial distribution, you can subtract the probability of getting no heads from 1. The binomial distribution formula for this scenario is:
P(X ≥ 1) = 1 - P(X = 0)
Where:
P(X ≥ 1) is the probability of getting at least one head,
P(X = 0) is the probability of getting no heads.
The probability of getting no heads (all tails) in 10 flips can be calculated using the binomial distribution formula:
P(X = 0) = C(n, x) * p^x * q^(n-x)
Where:
C(n, x) represents the binomial coefficient (n choose x),
p is the probability of getting a head on a single flip,
q is the probability of getting a tail on a single flip,
n is the number of trials (flips),
x is the number of successful outcomes (in this case, heads).
In this case, the probability of getting a head on a single flip is 0.5 (assuming a fair coin), and the probability of getting a tail on a single flip is also 0.5. The number of trials (flips) is 10, and the number of successful outcomes (heads) is 0.
Let's calculate it:
P(X = 0) = C(10, 0) * (0.5)^0 * (0.5)^(10-0)
C(10, 0) is equal to 1 (since the binomial coefficient for choosing 0 from 10 is 1).
P(X = 0) = 1 * 1 * (0.5)^10 = 0.0009765625
Now, we can calculate the probability of getting at least one head:
P(X ≥ 1) = 1 - P(X = 0)
P(X ≥ 1) = 1 - 0.0009765625
P(X ≥ 1) ≈ 0.9990234375
Therefore, the probability of getting at least one head in 10 flips is approximately 0.9990234375 or 99.9%.
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Shelley is searching online for airline tickets. Two weeks ago, the cost to fly from Orlando to Hartford was $200. Now the cost is $280. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
What is the percent increase from $200 to $280?
\(\frac{280}{200} *100 -100\) → \(140 -100\) → 40%There was 40% increase from $200 to $280
What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price?
increase with baggage fee:new ticket cost + baggage free280 + 50 $330 \(\frac{330}{200} *100 - 100\) → 165% - 100% → 65%There was 65% increase with the baggage fee.
#1
Old price=200$New price=280$Increase=280-200=80$Rate of increase (Percent increase)
\(\\ \tt\hookrightarrow \dfrac{80}{200}\times 100\)
\(\\ \tt\hookrightarrow 40\%\)
#2
New price=280+50=330$Increase=330-200=130$Percent increase:-
\(\\ \tt\hookrightarrow \dfrac{130}{200}(100)\)
\(\\ \tt\hookrightarrow 65\%\)