Length of wood Samuel needs to build a fence = 346 feet
Length of each piece of wood = 15 feet
Number of wood pieces he will have with him :-
\( = \frac{346}{15} \)
Samuel will need 23 pieces of wood .
Length of wood Theresa needs to build a fence :-
= 346 × 2
= 692 feet wood
Number of wood pieces Theresa will need :-
\( =\frac{692}{15} \)
\( = 42 \: pieces \: of \: wood\)
Therefore , Samuel needs 23 pieces of wood and Theresa needs 42 pieces of wood .
if f={(1,3),(4,9),(5,2),(6,8)} and f(a)=8, what are all of the possible values for a?
The mean value theorem is used to link the average rate of change and the derivative of a function.
The value of V is 8.
The givenparameters are:
Mean value theorem states that:
If [a,b] and
(a,b),
Then there is a point c in (a,b), such that:
From the question, we understand that: f is differentiable
This means that:
avethat:
The equation becomes
Cross mltiply
o both side
From the question, we have:
By comparisons;
Hence, the value of V is 8.
Enid jogs on a treadmill for exercise. Each time she finishes jogging, the treadmill will report the number of calories she burned. Enid claims that the distance she jogs and the number of calories she burns are in a proportional relationship. Data from her last four jogs are shown.
HELP QUICK
The correct statement is: She should calculate the ratio between the number of calories she burned versus the number of miles she ran.
What is a ratio?The quantitative relation between two amounts shows the number of times one value contains or is contained within the other. for example-"the ratio of computers to students is now 2 to 1"
Given here: The table containing data calories vs miles run.
You can tell if a table shows a proportional relationship by calculating the ratio of each pair of values. If those ratios are all the same, the table shows a proportional relationship.
Thus calculating the ratio for each pair of entries we get
1) ratio=118/1.2
=295:3a or unit rate 98.33 calories per mile
2) 190/2= 95:1 or unit rate 95 calories per mile
3) 226/2.4=565:6 or unit rate94.1
clea,rly the ratios are different.
Hence, The table containing the data doesn't form a proportional relationship.
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graph the line with slope -3/4 passing through the point (2,-1)
Answer:
Step-by-step explanation:
Slope of the line:
\(m = \frac{y-y1}{x-x1} \\\)
Given:
slope = -3/4
point (x1,y1) = (2, -1)
Substitute and solve
\(m = \frac{y-y1}{x-x1} \\-\frac{3}{4} = \frac{y-(-1))}{x-2} \\-3(x-2) = 4(y+1)\\-3x + 6 = 4y + 4 \\Transpose\\4y = -3x + 6 - 4\\4y = -3x + 2 \\y = -3/4x + 2/4\\y = -3/4x + 1/2\\OR\\4y +3x - 2 = 0\)
1/2 is the y-intercept
(0,1/2)
Since we have 2 points already, we can then graph the line.
(2, -1) and (0, 1/2)
is it required to pay for class dues in high school?
Answer:
Yes, if you want to graduate yes
Add 3/4 + (−2 1/2) using the number line.
Select the location on the number line to plot the sum.
Answer:
Heyyy!!!!
Alrighty... here it goes....
Step-by-step explanation:
3/4 + (-2 1/2)
okay... the first thing you have to do is convert 1/2 into fourths. that'll make it way easier to solve..... like way easier.....
then rewrite the expression to get 3/4 + (-2 2/4)
now we know that + - = -
basically you subtract since adding a negative makes you subtract...
3/4 - 2 2/4 gives you - 1 3/4
all you have to do is plot that on the number line and you should be good to go
Leeson can proofread a newspaper copy in 4 hours. If Ryan proofreads the same newspaper copy, it takes 3 hours. How
long would it take if they worked together?
Answer:
1 hour
Step-by-step explanation:
It would take that long because they work together, at 4 hours Ryan's 3 are subtracted and the result would be 1 hour. This is because while one of us makes the errors in the first or second paragraph, the other is checking the next and thus they finish faster.
If they worked together they can finish the given task in \(\frac{7}{12}\) hours.
Given that, Leeson can proofread a newspaper copy in 4 hours. If Ryan proofreads the same newspaper copy, it takes 3 hours.
We need to find how long would it take if they worked together.
What is the formula to find the work done?Work Done = Time Taken × Rate of Work. Rate of Work = 1 / Time Taken. Time Taken = 1 / Rate of Work. If a piece of work is done in x number of days, then the work done in one day = 1/x.
Now, the work done by Leeson \(=\frac{1}{4}\) and the work done by Ryan \(=\frac{1}{3}\)
So, work done by both together \(=\frac{1}{4}+\frac{1}{3}=\frac{3+4}{12}=\frac{7}{12}\) hours.
Therefore, if they worked together they can finish the given task in \(\frac{7}{12}\) hours.
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Cate's Bake Shop has a clearance on day-old baked goods. Loaves of bread *
that usually sell for $2.35 are on sale for $1.39. What is the markdown?
O $0.98
O $0.96
O $0.88
O $0.89
PLEASE HELP!!!!
Given A and B, use your knowledge of sets to determine which one of the following numbers is not in
AUB.
A = {-10, 8, 12, 26, 29}
B = {-8, - 1,5, 26, 36}
A.18
B. -10
C. 26
D. 36
E. None of the above
===========================================================
Explanation:
The set A U B represents the list of items that are either in set A, set B or both sets at the same time. The "U" is the union symbol.
Set A U B looks like this
A U B = {-10, 8, 12, 26, 29, -8, - 1,5, 26, 36}
I basically started with set A, then tacked on the stuff in set B shown in bold.
From here, we toss out the duplicate item 26 and we can optionally sort the set
A U B = {-10, -8, -1, 5, 8, 12, 26, 29, 36}
We see that the number 18 is not in this final set, which is why choice A is the answer.
--------------------
Put another way: the number 18 is neither in set A nor set B, so it cannot be in set A U B.
Something like -10 is in set A, so it's going to be in set A U B as well. We can rule out choice B for this reason. Choices C and D follow a similar idea as choice B.
If pqrs is a rectangle pr=9x+1 qs=13x-11 find tr
Answer:
PR = 28
Step-by-step explanation:
Since PQRS is a rectangle, the diagonals PR and QS should have the same length. Therefore it holds:
\(9 x + 1 = 13 x - 11 \iff (13 - 9) x = 1 + 11 \iff x = \frac{12}{4} = 3\)
So, \(PR = QS = 9 \cdot 3 + 1 = 28\).
You meant PR, right? I don’t know what “tr” is.
Answer: 28 It’s the right Answer Good Luck‼️
Step-by-step explanation:
What is the surface area? I got 562 inches squared
Answer:
Yep, it’s 562 in²
Step-by-step explanation:
15x8=120 (two of them)
15x7=105 (two of them)
8x7=56 (two of them)
120+120+105+105+56+56=562 in²
- Part A: Is x = 6 a solution of the equation 8x+8 = 56? Explain. Part B: Suppose the solution x = 6 increases to x = 9, and the left side of the equation stays the same. How would the right side need to change if the solution is now x = 9?
Answers to both subparts are given below:
(A) Yes, x = 6 is the solution of the equation 8x+8 = 56.(B) We need to add 24 on the right side of the equation when x = 9.What do we mean by equations?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign.So, (A) x = 6 is the solution of equation 8x+8 = 56:
Substitute x = 6 in equation 8x+8 = 56 as follows:
8x+8 = 568(6)+8 = 5648 + 8 = 5656 = 56Yes, x = 6 is the solution of the equation 8x+8 = 56.
(B) The change on the right side if x = 9:
Substitute x = 9 in equation 8x+8 = 56 as follows:
8x+8 = 568(9) + 8 = 5672 + 8 = 5680 = 56Now,
80 - 56 = 24So, we need to add 24 on the right side of the equation when x = 9.
The answers to both subparts are given below:
(A) Yes, x = 6 is the solution of the equation 8x+8 = 56.(B) We need to add 24 on the right side of the equation when x = 9.Know more about equations here:
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Please help me?!!!!!!!
Answer:
The last one: 12x + 3
Step-by-step explanation:
6 + 4(3x - 2) + 5
6 + 12x - 8 + 5
12x + 6 - 8 + 5
12x + (-2) + 5
12x + 3
Can someone help me solve this equation? will give brainliest
Answer:
a = -10
Step-by-step explanation:
33 - 4a = 73
To get a by itself, you must move 33 to the other side. To this, you must subtract it from both sides, canceling it out on the left side.
You will be left with: -4a = 73-33
Subtract 73 and 33, which will get you 40.
Now the equation is -4a = 40
To get a by itself, divide -4 into both sides. Doing this will isolate a.
The equation you will have after that is a = 40/-4.
Divide 40 by -4, which will get you -10.
Therefore, a = -10.
Find the range of the function in the image.
solve it asap please
no irrelevant answers.
(question in the image)
Answer:
0 < f(x) ≤ 3/4, or (0, 3/4]
Step-by-step explanation:
x² - x + 1 = x² - x + 1/4 + 3/4 = (x - 1/2)² + 3/4
It is always positive and has a minimum value of 3/4 at x = 1/2
So f(x) is always positive (not equal zero) and has a maximum value of 3/4
Then the range is 0 < f(x) ≤ 3/4, or (0, 3/4]
One interpretation of a baseball player's batting average is as the empirical probability of getting a hit each time the player goes to bat. If a player with a batting average of 0.2560.256 bats 55 times in a game, and each at-bat is an independent event, what is the probability of the player getting at least on hit in the game
Answer:
The probability of getting at least one hit in 5 games is 0.772
Step-by-step explanation:
The correct question is as follows;
One interpretation of a baseball player's batting average is as the empirical probability of gettig a hit each time the player goes to bat. If a player witt a batting average of 0.256 bats 5 times in a game, and each at-bat is an independent event, what is the probability of the player getting at least one hit in the game?
We proceed with the answer as follows;
Here, we want to calculate the probability of a player with a certain batting average getting at least one hit in a game if he bats 5 times
Mathematically, Probability of getting at least one hit in 5 games = 1 - Probability of getting no hit in 5 games
Let p = probability of getting hit in a game = 0.256
q = Probability of getting no hit in a game = 1-0.256 = 0.744
So the probability of getting no hits in 5 games will be 0.744^5 = 0.228
Thus, the probability of getting at least one hit in the 5 games = 1 - 0.228 = 0.772
Select whether each of these factors was a reason for or against American neutrality. US trade with Europe was worth almost one billion dollars. for against Intro
________________________
Sunny ko behan mil gayi sonali ✨
The United States' decision to remain neutral was motivated by its over $1 billion in annual trade with Europe.
Why did American neutrality benefit from commerce with Europe?Early 20th-century American trade with Europe helped the US remain neutral by enabling it to maintain business ties with both the Allied and Central Powers.
The US was able to avoid taking a political stance and maintain its neutral status by supplying goods to both sides of the conflict. Additionally, trade helped the US maintain its economic stability because it would have been detrimental to the nation's economy to break off trade with one party.
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What is the value of log6 49?
Round your answer to two places.
Answer: 2.17
Step-by-step explanation: To get the answer you count the first two numbers on the Decimal Form, starting behind the period.
(2.17206626)
PLEASE PLEASE HELP
The vertices of quadrilateral LMNP are L(-1 , 7), M(4,9), N(8, -1), and P(3,-3). Using the distance formula, determine the most precise classification of LMNP.
So, the most precise classification of quadrilateral LMNP is a kite.
What is equation?In mathematics, an equation is a statement that two mathematical expressions are equal. It typically contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. The goal of solving an equation is to find the values of the variables that make the equation true. Equations are used in many areas of mathematics, science, and engineering to model relationships between quantities and to solve problems.
Here,
To classify the quadrilateral LMNP, we need to calculate the length of all four sides using the distance formula and then use those values to determine the shape of the quadrilateral.
The distance formula is given by:
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Using this formula, we can calculate the length of each side of the quadrilateral as follows:
LM = √[(4 - (-1))² + (9 - 7)²] = √[5² + 2²] = √29
MN = √[(8 - 4)² + (-1 - 9)²] = √[4² + (-10)²] = √116
NP = √[(3 - 8)² + (-3 - (-1))²] = √[(-5)² + (-2)²] = √29
PL = √[(-1 - 3)² + (7 - (-3))²] = √[(-4)² + 10²] = √116
Now, we can use the values we have calculated to determine the shape of the quadrilateral. We can see that LM = NP and MN = PL, which means that opposite sides are congruent. Also, LM and MN are not equal to PL and NP, which means that opposite sides are not parallel. Therefore, LMNP is a kite.
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The upper half of the ellipse centered at the origin Set up the integral that gives the area of the ellipse_ with axes of length 2a and 2b is described by y=bJa2-X as shown in the figure. Find the area dx of the ellipse in terms of a and b
The area of the ellipse in terms of a and b is given by the integral \(\int\limits^a_b {ba2-x2dx.} \,\)
The upper half of the ellipse centered at the origin with axes of length 2a and 2b is described by, ba2-x2dx. as shown in the figure. To find the area of the ellipse in terms of a and b, an integral can be set up. The integral is given by\(\int\limits^a_b {ba2-x2dx.} \, dx\) This integral can be evaluated to determine the area of the ellipse in terms of a and b.
The integral is given by:
\(\int\limits^a_b {ba2-x2dx.} \, dx\)
This can be evaluated using a substitution of u = a2 - x2. The derivative of u is du = -2x dx. After making the substitution, the integral becomes:
-∫bu du
The integral can be evaluated to obtain the answer:
-bu2/2 + C
The area of the ellipse can then be determined by evaluating the integral from x = 0 to x = a. This gives the area of the ellipse in terms of a and b:
\(Area = ab\pi /2\)
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For which triangle does the Pythagorean Theorem
express the relationship between the lengths of its three
sides?
A
B
C
D
Pythagorean theorem is represented by triangle B.
Which triangle express the relationships according to Pythagorean theorem?
In this question we find four cases of triangle, of which we must determine what triangle can be explained by Pythagorean theorem. This theorem offers a relationship between the three sides of the triangle:
r² = x² + y²
Where:
x, y - Legsr - Hypotenuse.Please notice that hypotenuse is the longest side of the triangle. Graphically speaking, there is a right triangle, that is, a triangle with one right angle. Then, triangle B express the relationship according to Pythagorean theorem.
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How does Mathematics differ from language to language across the world
The answer is explained below.
In order to be considered a language, a system of communication must have vocabulary, grammar, syntax, and people who use and understand it. Mathematics meets this definition of a language. Linguists who don't consider math a language cite its use as a written rather than spoken form of communication.
Mathematics is pure language - the language of science. It is unique among languages in its ability to provide precise expression for every thought or concept that can be formulated in its terms. In a spoken language, there exist words, like "happiness", that defy definition.
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2x =3 on a number line
Answer:
I don't understand what the question is
What congruence statement is correct for the congruent triangles shown?
A) ABC=ADC
B) ACB=CDA
C) ABC=CDA
D) ACB= ACD
E) BCA= DCA
The statement that is correct for the congruent triangles shown above are ABC=CDA. That is option C.
What is congruent triangles?The congruent triangles are those two triangles that have all it's edges and angles equal in size.
There are two different types of triangle which include the following:
Triangle ABC andTriangle ADC.The sides and angles that are equal include the following;
< A = < C
< D = < B
Therefore the statement that shows that the two given triangles are equal = ABC=CDA.
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solve for x, using the secant lines. 53° 189°
The measure of the arc opposite to 189° is 136°.
What are secant lines?Secant lines are lines that intersect a curve at two distinct points. They are used to approximate the slope of the curve by measuring the change in the y-coordinate of the two points divided by the change in the x-coordinate of the two points.
The measure of the angle opposite to 189° is x.
To solve for x, we can use the property of alternate interior angles.
The sides of the two secant lines that intersect outside the circle form alternate interior angles whose measures are equal.
Therefore, the two angles formed by the secant lines inside the circle must have the same measure.
Therefore, 53° + x° = 189°.
Subtracting 53° from both sides, we get x° = 136°.
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Find the volume of a rectangular prism with a length of 12 inches a width of 4.5 inches and a height of 3.6 inches
Answer:
194.4
Step-by-step explanation:
V=l*w*h
V=12*4.5*3.6
V=194.4
Kira unravels a shirt to get blue thread. From each centimeter (cm) of the shirt, Kira gets 231 cm of thread. She unravels 7cm of the shirt.
How much thread does Kira get ?
Answer:
1617 cm of thread.
Step-by-step explanation:
We are told that the equivalence would be that for each cm of shirt Kira gets 231 cm of thread, therefore it would be:
231 cm thread / 1 cm shirt
they tell us that she managed to remove 7 cm of shirt, therefore:
7 cm shirt * 231 cm thread / 1 cm shirt = 1617 cm thread
Therefore Kira obtained 1617 cm of thread.
Answer:
Kira gets 1,617
Step-by-step explanation:
In Khan word problems 4 grade divsion TRUST ME I GOT IT RIGHT!! THANK U
Solve and express your answer in both
scientific and standard notation.
.000075 + (1.3 x 10-5)
Answer:
8.000075
Step-by-step explanation:
1.3 x 10 is 13 that - 5 is 8 n then u just add the .000075 to it
6. Find the height of a triangle with a
base of 4 cm and a hypotenuse of
11 cm. Round to the nearest tenth
of a centimetre. Show your work..
Answer:
Hope the picture will help you..............
When Ryan was born, he weighed 7 pounds.At 6 months, he weighed 11.2 pounds. Amanda weighed 6 pounds when she was born, and 12.9 pounds at 6 months. Which baby had a greater percent increase in weight? Explain.
Answer:
Amanda.
Step-by-step explanation:
Ryan was 7 pound and gained 4.2 pounds which is only around a 60% Increase. Amanda on the other hand gained 6.9 pounds which is around a 110% Increase.
Answer:
Amanda had greater percent increase by weight.
Step-by-step explanation:
When Ryan was born, he weighed 7 pounds. At 6 months, he weighed 11.2 pounds. Amanda weighed 6 pounds when she was born, and 12.9 pounds at 6 months. Which baby had a greater percent increase in weight? Explain.
Question 14 of 15
What are the domain and range of the inequality ?
Answer:
we see that x must be greater then 3 and y which is the domain must be greater then 5 for the inequality to be true.
so option D is the correct option.
let me know if you need any more help!