Answer:
14
Step-by-step explanation:
28 divided by 2 = 14
answer = 14
Jan wants to build a circular pond in his backyard. On the blueprint, the diameter of the pond is 15.5 in. The blueprint has a scale of 3 7/8 in. to 7 feet. What is the actual area of the pond rounded to the nearest tenth? *
Answer:
hi
Step-by-step explanation:
hi
There has been a 3% change in the money supply and a 1% change in velocity. In order to balance the exchange equation, what percentage of change needs to occur on the right side of the equation?
A. 1%
B. 4%
C. 7%
To balance the equation, the right side of the equation must also change by 4%.
What is equation?
An equation is a mathematical statement that asserts the equality of two expressions. It consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), separated by an equals sign (=)
To balance the exchange equation, the percentage change on the left side of the equation \((\% \triangle M + \% \triangle V)\) must equal the percentage change on the right side of the equation \((\% \triangle P + \% \triangle Q)\).
Given that there has been a 3% change in the money supply \((\% \triangle M)\) and a 1% change in velocity \((\% \triangle V)\), the left side of the equation can be written as:
\(\%\triangle M + \%\triangle V = 3\% + 1\% = 4\%\)
To balance the equation, the right side of the equation must also change by 4%. Therefore, the correct answer is:
B. 4%
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What is the surface area of a rectangular prism that has a length of 4 cm, a height of 14 cm, and a width of 15 cm?
A. 660 cm2
B. 652 cm2
C. 326 cm2
D. 432 cm2
Answer:
The answer is b I searched it on goggle and did the math.
Step-by-step explanation:
Put the following statements into order to prove that the modus ponens is a valid argument form Not all steps are correct or belong in the proof: Enter N for such steps:
~p V -(p = q) Vq = (Tp Vq) v-(Tp V q)
The correct order of statements to prove that modus ponens is a valid argument form is as follows: ~p V -(p = q) V q = (Tp V q) v -(Tp V q).
To prove the validity of the modus ponens argument form, we need to arrange the statements in the correct order. Here is the correct order of statements:
~p V -(p = q) V q (Given statement)-(p = q) V ~p V q (Commuted the disjunction)-(p = q) V (Tp V q) (Logical equivalence between ~p and Tp)(p = q) -> (Tp V q) (Implication of the previous statement)(Tp V q) v -(Tp V q) (Law of excluded middle)The first statement is given, and we begin by commuting the disjunction in the second statement. Then, we use the logical equivalence between ~p and Tp to rewrite the third statement. This allows us to express the conditional statement (p = q) -> (Tp V q) in the fourth statement. Finally, we apply the law of excluded middle in the last statement.
It's important to note that the correctness of each step has not been explicitly specified, so we assume that all the steps in the proof are correct and belong to the final valid argument form.
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if the zero vector is a solution of the system , then the system is homogeneous. group of answer choices true false
True, If the zero vector is a solution of the system , then the system is homogeneous.
A system of linear equations is considered homogeneous if the zero vector (i.e., the vector with all components equal to 0) is a solution. This means that the system of equations only has the trivial solution of all variables equal to zero, but no non-trivial solutions.
A homogeneous system of linear equations is a system where all the equations have the same form and all the coefficients are proportional to each other. This means that if one equation is multiplied by a constant, the same constant must be multiplied by all the other equations in the system to maintain the homogeneous property.
The zero vector is a solution of a homogeneous system because if all the variables are equal to zero, all the coefficients in the equations are also equal to zero and the equations are satisfied. This is why the presence of the zero vector as a solution is a defining characteristic of homogeneous systems.
In contrast, a non-homogeneous system is a system where the zero vector is not a solution and there are both trivial (zero) and non-trivial (non-zero) solutions. Non-homogeneous systems are solved using different methods compared to homogeneous systems.
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What is the value of x in the equation 1/4(4 + x) = 4/3
The value of x in the equation 1/4(4 + x) = 4/3 is x = 4/3.
Multiply both sides of the equation by 4 to eliminate the fraction on the left-hand side:
1/4(4 + x) = 4/3
4 * 1/4(4 + x) = 4 * 4/3
Simplifying:
4 + x = 16/3
Subtract 4 from both sides of the equation:
4 + x - 4 = 16/3 - 4
Simplifying:
x = 16/3 - 12/3
x = 4/3
A fraction is a mathematical concept used to represent a part of a whole or a ratio between two quantities. It is typically written in the form of a numerator (top number) over a denominator (bottom number), separated by a horizontal line. For example, the fraction 1/2 represents one out of two equal parts, or half of a whole. Similarly, the fraction 3/4 represents three out of four equal parts, or three-quarters of a whole.
Fractions are an essential part of mathematics and are used in a wide range of applications, including measurements, cooking, and financial calculations. They can be added, subtracted, multiplied, and divided just like whole numbers, but they require a bit more care in their manipulation due to their unique structure.
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Find the distance from (-4, 7) to the line y = 2x
Answer:
Step-by-step explanation:
y=mx+c
7=2*-4+c
7=-8+c
7+8=c
15=c
Please answer 50 points
Answer:
$59 increase
Step-by-step explanation:
First, let's look at how much she withdrew in the beginning.
4 withdrawals of $40.00
4 times 40 should get us the total amount
4 x 40 = 160
So, she took out $160.00 in the beginning.
Then, she spent an additional $156.00
160 + 156 = 316
She spent a total of $316.00
Then she received her paycheck of $375.00
Since 375 is more than 316, we know that she gained money. But how much?
Well, when we subtract 316 from 375,
375 - 316 = 59
That means the amount in her bank account increased by $59.00
PLS HELP PLS The pair of triangles below have two corresponding parts marked as congruent. What additional information is needed for a ASA congruence correspondence?
A. ∠N≅∠M
B. ∠A≅∠M
C. ∠A≅∠O
D. AN¯¯¯≅OM¯¯
Answer:
A
sinse its side angle side so the angle beside the side is second
hope it helps
Step-by-step explanation:
The additional information which needed for a ASA congruence correspondence is angle N is congruent to angle M
What is ASA congruency rule?If any two angles and side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle.
According to the given question.
We have two triangle NDA and MTO in which
m ∠NDA = m ∠MTO
and NA = MT
Now, according to ASA congruency rule
NA = MT
if m ∠DNA = m ∠TMO
Therefore, the additional information which needed for a ASA congruence correspondence is angle N is congruent to angle M.
Thus, option A is correct.
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solve for x each figure is a parallelogram
Answer:
\(18x + 8= (180 - 46) = 134 \\ 18x = 126 \\ \boxed{x = 7}\)
7 is the right answer.♥ Hey Valerie Here! ♥ please help
Answer:
C?
I hope this helps, if not C than A- i get them mixed at times- Sorry
Step-by-step explanation:
♥ Hey Grey Here! ♥
John wanted to estimate the average literacy rate for all countries. He randomly selected 35 countries and researched the literacy rate for the 35 countries. The statistical unit for John's study is:
A. the 35 countries
B. a literacy rate. C. a country O
D. an individual
The statistical unit for John's study is A. the 35 countries. John is trying to estimate the average literacy rate across all countries, and he randomly selected 35 countries to research their literacy rates. The statistical unit in this case is the individual country, as each country's literacy rate is being used to calculate the average.
The statistical unit for John's study is A. the 35 countries. This is because John's study is based on a sample of 35 countries that he randomly selected. The sample is used to estimate the average literacy rate for all countries. The sample size of 35 countries is large enough to provide a representative sample of the population of countries. If John had selected only a few countries or individuals, his estimate of the average literacy rate would not have been reliable. However, by selecting a sample of 35 countries, John can make a more accurate estimation of the average literacy rate for all countries. In conclusion, the statistical unit for John's study is the sample of 35 countries that he researched to estimate the average literacy rate for all countries.
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Gwen runs back and forth along straight track: During the time interval 0 < t < 45 seconds, Gwens 250ain velocity; In feet per second, is modeled by the function given by v (t) What is the first time;t1 , that Gwen changes direction? Find Gwens average velocity over the time interval 0 < t
The average velocity of Gwen over the time interval 0 < t is zero. We need to solve the equation:250sin(πt/45) = 0Solving for t, we get:πt/45 = nπwhere n is an integer.
Given that Gwen runs back and forth along a straight track and her velocity, in feet per second, is modeled by the function v(t) during the time interval 0 < t < 45 seconds; We are to determine the first time at which Gwen changes direction and find her average velocity over the time interval 0 < t.Firstly, we know that velocity is a vector quantity and has both magnitude and direction.
Since she is running back and forth along a straight track, her displacement at any given time t is given by the function s(t), which is the integral of her velocity function v(t).That is, s(t) = ∫v(t)dtWe can find the displacement by taking the definite integral of v(t) from 0 to t. Since Gwen is running back and forth, her displacement will be zero at the times when she changes direction.
Therefore, we need to solve the equation:250sin(πt/45) = 0Solving for t, we get:πt/45 = nπwhere n is an integer. Therefore,t = 45n/πwhere n is an integer. Since we are looking for the first time at which Gwen changes direction, we need to take the smallest positive value of n, which is n = 1.
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Due yesterday
Even if ur sure its correct j send it, ill turn in anything
Answer:
A)8000
B) 1296a^4
C) 9x^2
D)100000000
E)0.00097656
F)x^⁶
G)y^11
Step-by-step explanation:
Given square JKLM, JK=9. Find JL
Answer:
answer is 18
Step-by-step explanation:
.................
Answer:
11
Step-by-step explanation:
It may not be correct
How do you solve this? I’m stuck
what does it mean by give your answer in 'terms of pi' ??
please help me and thanks
Therefore, the area of the quarter circle of radius 8 cm is 16π square centimeters (or approximately 50.2655 square centimeters if we use a decimal approximation for π).
What is circle?A circle is a two-dimensional shape that is defined as the set of all points that are a fixed distance (called the radius) from a central point (called the center) in a plane. It is one of the most basic geometric shapes and is often used in a variety of mathematical and scientific contexts. One important thing to note about circles is that they are symmetrical: any line passing through the center of a circle divides the circle into two halves that are mirror images of each other. Circles are commonly used in a variety of contexts, including geometry, trigonometry, physics, engineering, and many other fields. They are also used in everyday life, such as in the design of wheels and other circular objects, the calculation of the areas of circular fields or gardens, and the measurement of circular objects like plates and bowls.
Here,
The formula for the area of a quarter circle is given by:
A = (1/4)πr²
where A is the area of the quarter circle, r is the radius of the circle, and π is the mathematical constant pi (approximately 3.14159).
In this case, the radius of the quarter circle is 8 cm, so we can substitute this value into the formula and simplify as follows:
A = (1/4)π(8 cm)²
A = (1/4)π(64 cm²)
A = 16π cm²
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2 3/4 divided by 1 7/8
Answer:
1.4667
Step-by-step explanation:
If we 2 * 3/4 divided by 1 * 7/8 than we get, 1 * 7/15
What is mixed fraction?Mixed fraction is a combination of whole number and fraction.
To solve this,
We need to convert mixed fractions into fractions,
2 * 3/4 = (4 * 2) + 3 = 11/4
1 * 7/8 = (8 * 1) + 7 = 15/8
11/4 ÷ 15/8
11/4 × 8/15 = 22/15
1 * 7/15
Therefore, the correct answer of this is 1 * 7/15.
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a professor teaches a class of 42 students. if only 34 students show up to take the first exam, then how would we characterize this group who took the first exam?
Correct this group constitutes a sample of all students in the class.
What are some instances of intuitive reasoning?
As an illustration, when we enter a coffee shop, we immediately recognize a cup as one that we have seen many times before.
We also immediately recognize that it will probably be hot and spill quickly over an uneven surface.
What is the intuitional method?
Intuition is the earliest means of knowing. When we use our intuition, we are putting our trust in our feelings, emotions, and/or instincts to lead the way.
When using intuition, one believes what seems true rather than looking at the facts or using reason.
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Help pls i cant get bad grades!!!!!!!!!
Answer:
bread
Step-by-step explanation:
If you get bad grades study :v
How would you write the equation with a slope of 1 and a y-intercept is 7?
The equation of the line with slope \(1\) and y-intercept is \(7\) i.e. \(y=x+7\)
The slope-intercept form is
\(y=mx+c\)
Here, m is the slope and c is the y-intercept
y=x+7
The equation of the line is \(y=x+7\\\)
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2.
Snow is falling at a rate of 14 in. in 7
hours. Write an equation to represent the
proportional relationship between the
number of hours x, and the amount of
Snow y.
Answer:
srry im doing a thing
where i have to do 30 Q to get $300
Step-by-step explanation:
Derek is shopping for hot dogs and he has 4 buns
Answer:
he will only need one pack of buns
Please help and show work only do the left side
bottom was cut off a bit its 4=b
which coordinate pairs make the equation x-9y=12 true?
1. (12,0)
2. (0,12)
3. (3,-1)
4. (0, -4/3
Answer:
(12,0) and (3, -1) and (0,-4/3)
Step-by-step explanation:
To find if a point makes an equation true, just substitute its x and y values in in the equation and simplify.
1) Let's test the point (12,0). Substitute 12 for x and 0 for y in the equation:
\(x-9y=12\\(12)-9(0)=12\\12-0=12\\12=12\)
12 does equal 12, so (12,0) makes the equation true.
2) Let's test the point (0, 12). Substitute 0 for x and 12 for y in the equation:
\(x-9y=12\\(0)-9(12) = 12\\0-108 = 12\\-108 = 12\)
However, -108 does not equal 12, so (0,12) does not make the equation true.
3) Let's test the point (3, -1). Substitute 3 for x and -1 for y in the equation:
\(x-9y=12\\(3)-9(-1) = 12\\3 + 9 = 12\\12 = 12\)
12 does equal 12, so (3, -1) makes the equation true.
4) Let's test the point (0, -4/3). Substitute 0 for x and -4/3 for y in the equation:
\((0) -9(-\frac{4}{3} ) = 12\\0 + \frac{36}{3} = 12\\0 + 12 = 12 \\12 = 12\)
12 does equal 12, so (0, -4/3) makes the equation true.
Find the next term in the arithmetic sequences in which a1 = 5 and d= -4. a2= ?
Therefore , the solution of the given problem of arithmetic mean comes out to be a2 = 1 is the following word in the sequence after a1.
What is arithmetic mean?The average values of a list, also known as the organization's values, are calculated by adding up all of the list's values. These average values are then adjusted by the proportion of list components in the largest density. similar growth patterns can be seen in math. The average of the actual numbers 5, 7, and 9 is 4, and the result of adding three to the number 21 (there are currently several three-digit numbers) is seven.
Here,
Each term in an arithmetic sequence is created by adding a constant difference (d) to the word before it. In order to determine the following term in the series where a1 = 5 and d = -4, we can use the following formula:
=> a = a1 + (n-1)*d
where an is the sequence's nth word.
Inputting a1 = 5 and d = -4 results in:
=> a2 = a1 + (2-1)*d = 5 + (-4) = 1
As a result, a2 = 1 is the following word in the sequence after a1.
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1 The length of a rectangle is 4 times the width. The
perimeter is 90 cm. Find the width and length.
Answer:
width=9 cm
length =36cm
Step-by-step explanation:
let us suppose width of rectangle be x
then,length of rectangle =4x
given, perimeter of rectangle =90cm
we know that,
perimeter of rectangle=2(length + width)
90cm=2(4x+x)
or,90/2cm=5x
or,45cm=5x
or,(45/5)cm=x
or,x=9cm..
therefore ,width(x)=9 cm
and length (4x)=4*9=36cm
help please dont add a link or you'll get reported
Sara rents a boat for 1 day with her friends Mary, Janet and Suzy. The charge for the
rental is $40.00 plus 12.50 per hour while she is on the lake. She wants to spend
exactly $121.00 for her "fun on the water day." Thus, how many hours of "fun on the
water" doe she get to have with her friends?
Answer:
The closest answer I got was 2.3hours of fun.
Step-by-step explanation:
add $40.00 and $12.50=$52.50
divide 121.00 by 52.5 you get 2.3 .
The average error rate of a typesetter is one in every 500 words typeset. A typical page contains 300 words. What is the probability that there will be no more than two errors in five pages
The probability that there will be no more than two errors in five pages is 0.786.
Let X be the number of errors on a page, then the probability that an error occurs on a page is P(X=1) = 1/500. The probability that there are no errors on a page is:P(X=0) = 1 - P(X=1) = 499/500
Now, let's use the binomial distribution formula:
B(x; n, p) = (nCx) * px * (1-p)n-x
where nCx = n! / x!(n-x)! is the combination formula
We want to find the probability that there will be no more than two errors in five pages. So we are looking for:
P(X≤2) = P(X=0) + P(X=1) + P(X=2)
Using the binomial distribution formula:B(x; n, p) = (nCx) * px * (1-p)n-x
We can plug in the values:x=0, n=5, p=1/500 to get:
P(X=0) = B(0; 5, 1/500) = (5C0) * (1/500)^0 * (499/500)^5 = 0.9987524142
x=1, n=5, p=1/500 to get:P(X=1) = B(1; 5, 1/500) = (5C1) * (1/500)^1 * (499/500)^4 = 0.0012456232
x=2, n=5, p=1/500 to get:P(X=2) = B(2; 5, 1/500) = (5C2) * (1/500)^2 * (499/500)^3 = 2.44857796e-06
Now we can sum up the probabilities:
P(X≤2) = P(X=0) + P(X=1) + P(X=2) = 0.9987524142 + 0.0012456232 + 2.44857796e-06 = 0.9999975034
Therefore, the probability that there will be no more than two errors in five pages is 0.786.
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