Answer: (2,6),(-6,7)
Step-by-step explanation:
i need help with this!
Answer:
to convey the parametric expression to be use the explosions
A carpenter can make at most 20 tables and at most 30 chairs per day. Each table requires 3 hours of labour and each chair requires 2 hours of labour. The maximum total hours disposal is 96 . (A) give 3 inequalities that express the condition about. (B) graph and shade the common region that satisfy these. (C) find the maximum number of chairs and table does the carpenter can make.
2. Troy had 3/8 of a pizza left over from his party. He ate 3/4 of the leftover pizza for breakfast. How much of the
whole pizza did Troy have at breakfast?
3. 3/5 of a bag of coffee weighs 6/7 pound. How much does a whole bag of coffee weigh?
The 9/32 of whole pizza Troy had for breakfast. The whole bag of coffee weighs 10/7 pounds
A fraction is defined as a part of a whole quantity.
1. Leftover pizza = 3/8
Pizza used as breakfast = 3/4 of left-over pizza
= 3/4 of 3/8
The of is calculated by the use of multiplication
The fractions are multiplied as follows:
The numerators of the fractions are multiplied and written as the numerator.The product of the denominators is written as the denominator.Then we simplify the given fraction to get the final result.Pizza used as breakfast = 3/4 * 3/8
= 3 * 3 / 4 * 8
= 9/32
2. 3/5 of bag of coffee weighs = 6/7 pounds
1 bag of coffee weighs = 6/7 ÷ 3/5
The fractions are divided as follows:
The fraction to be divided is reciprocatedThe numerators of the fractions are multiplied and written as the numerator.The product of the denominators is written as the denominator.Then we simplify the given fraction to get the final result.Thus, = 6/7 * 5/3
= 6 * 5 / 7 * 3
= 30/21
= 10/7 pounds
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plss help me for branleist
Answer: x=67
Step-by-step explanation:
All of the angles add up to 180 for a triangle
38 + 75 + x = 180 >combine like terms (the numbers)
113 + x = 180 >subtract 113 from both sides
x=67
Answer:
x = 67°Step-by-step explanation:
We know that,
\( \sf \: By \: Using \: Angle \: sum \: property \: of \: triangle\)
\( \large \sf \: → x +38° + 75° = 180°\)
\( \large \sf \: → x + 113 = 180°\)
\( \large \sf→ x = 180°- 113°\)
\( \boxed{\large \bf→ x = 67° }\)
Determine the measure of the third angle in a triangle when the other two angles total 165 degrees.
Answer:
15
Step-by-step explanation:
180-15
Hello!
the sum of the angles in the triangle = 180°
so the 3rd angle = 180° - 165° = 15°
The answer is 15°What is the round trip distance in miles from city 1 to city 3?
15
30
50
70
The round trip distance in miles from city 1 to city 3 is given as follows:
30 miles.
How to obtain the round trip distance?The matrix corresponding to the distances between each of the cities is given by the image presented at the end of the answer.
Looking at row 1, column 3, we have that the distance from city 1 to city 3 is of 15 miles.
For the round trip distance, we have to go back from city 3 to city 1, more 15 miles, hence the distance is given as follows:
2 x 15 = 30 miles.
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pls help asap!!!!!!!!
Answer: 41
Step-by-step explanation:
The horizontal line beneath the angle created is always 180 degrees. Because you are given two equations for each angle created, simply write: 180= (3x-3) +(x+19). This gives you 4x+16=180, of which you subtract 16 to 180 which gives you 164. Finally, divide both sides by 4: 4x/4=164/4 and you will get 41. Hopefully I was of aid to you.
a juvenile court could not hear a case involving a contract dispute because it lacks ____ jurisdiction.a.in personamb.in remc.quasi in remd.subject matte
A juvenile court could not hear a case involving a contract dispute because it lacks subject matte jurisdiction.
What two factors confer jurisdiction over a case on federal courts?the government of the United States,the Constitution, or federal laws, or.disputes between states or between the federal government of the United States and other governments.What is the significance of the legal concept of jurisdiction for the functioning of American courts?Because a court does not have the legal authority to rule on a case if it does not have jurisdiction over it, jurisdiction is crucial.
Waukesha, what exactly is subject matter jurisdiction?The question of whether a particular court has the authority to hear a particular case or controversy is known as subject matter jurisdiction. In this instance, that is unimportant. Brooks is currently being tried in Waukesha County, Wisconsin, before a circuit court judge.
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Suppose a life insurance company sells a ​$190,000 ​one-year term life insurance policy to a 19​-year-old female for ​$290. The probability that the female survives the year is 0.999563. Compute and interpret the expected value of this policy to the insurance company.
Answer:
The expected value of this policy to the insurance company is $206.97
Step-by-step explanation:
Probability that Person doesn't die = 0.999563. Profit = Revenue - Cost; Profit = $290 - 0 = $290
Probability that Person dies = 1 - 0.999563 = 0.000437. Profit = Revenue - Cost; Profit = $290 - $190,000 = -$189,710
Expected Value E(X) = ∑xp(x)
E(X) = $290*(0.999563) + (-$189,710* 0.000437)
E(X) = $289.87327 - $82.90327
E(X) = $206.97
Thus, the expected value of this policy to the insurance company is $206.97
I am an even 2-digit number between 40 and 90 that is divisible by 3 and 7, but not divisible by 10
Answer:
42
Step-by-step explanation:
3×14=42
7×6=42
42÷2=21
Please correct me if I'm wrong:)
An even 2-digit number between 40 and 90 that is divisible by 3 and 7, but not divisible by 10 is, 42
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
An even 2-digit number between 40 and 90 that is divisible by 3 and 7, but not divisible by 10.
Now, Let 2 - digit even number between 40 and 90 are,
⇒ 42, 44, 46, 68, 50, 52, ... 88
Clearly, The number 42 is an even 2-digit number between 40 and 90 that is divisible by 3 and 7, but not divisible by 10.
Thus, An even 2-digit number between 40 and 90 that is divisible by 3 and 7, but not divisible by 10 is, 42.
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Use the information given to answer the question.
The graph shows the relationship between the total cost,
t
, of purchasing a steel beam
f
feet long.
The relationship between the cost, y, in dollars, and the feet of steel beam, x, bought can be modeled by the proportional equation y=
x.
Answer:
What is the question? _______
solve the system by graphing or using a table y= -3x + 3
Answer:
(0,3) (1,0)
Step-by-step explanation:
Put this equation on desmos and if you put this equation in then you'll get your answer. The question you put was unsure I hope this is what you were looking for.
Please help !!!!!!!!!! , i don't know what to write.
Write a paragraph describing the business venture and what kind of algebra or other calculations and formulas might help someone in that endeavor. Also include ways in which the business might operate differently with those tools than without them.
Step-by-step explanation:
A business that offers services to people by providing many amusement and fun with gate fees
The algebraic equations to be used is the general linear equation
Y = MX + C
Where
Y = total income or money realised
M = rate or price rate
X = number of goods or services
C = flat rate or gate fees
The business can also operate differently by using exponential equation
A = P(1 + R%)^t
Where
A = profit
P = capital
R = rate
t = time
Hope this helps :D
Select Yes or No to indicate whether each value of x is a solution to the given equation.
31=x+1
Answer:
Yes for:
x = 30
Step-by-step explanation:
Since 31 = x+1
Simplifying, 1 is deducted from 31 to get 30
This gives the two sides of the equation as 30 = x
Therefore, x = 30
This is a simple equation. It can easily calculate the value of x given the value on the other side of the equation. Therefore, x is a dependent variable in this system of equation. And just like every system of equation, the simple equation problem requires that the two sides of the equation are always kept in balance or equilibrium.
Which rule explains why these triangles are
congruent?
U
T
V
W
AAS
ASA
SAS
SSS
These triangles
cannot be proven
congruent.
These triangles can be proven congruent by using ASA RULE.
What is congruent triangles and its rules ?
When two triangles are congruent, their three sides and their three angles match precisely.
If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.
ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.
Main Body:
In ΔTUV and ΔTWV
VT =VT ----(1)
∠VTU=∠TVW -----(2)
As TUVW is a parallelogram
so, ∠T = ∠U
hence, ∠TVU =∠VTW ----(3)
taking equation 1, 2,3
therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.
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(40 points please explain your answer)
If triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees, where will point A' lie?
(−1, 2)
(−2, 1)
(1, −2)
(2, −1)
A is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees
A' is (-2,1)
Given :
A triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees.
The rule for reflection over y axis
(x,y) -> (-x,y)
Reflection over x axis is
(x,y) -> (x,-y)
Rotate by 180 degree
(x,y)->(-x,-y)
The point A lies on (-2,1)
Lets find the coordinate of point after reflection over y axis, x axis and rotation by 180 degree using the rules
Reflection over y axis
(-2,1) -> (2,1)
Reflection over y axis
(2,1)-> (2,-1)
Rotate by 180 degrees
(2,-1)-> (-2,1)
So A' is (-2,1)
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The diagram shows a circle drawn inside a square.
The circle touches the edges of the square.
12 cm
Calculate the shaded area.
Take pie to be 3.142 and write down all the digits given by your calculator.
Answer:
144 - 36×3.142 = 30.888
30.888 ÷4 = 7.722
Suppose an arrow is shot upward on the moon with a velocity of 58 m/s, then its height in meters after t seconds is given by h(t)=58t−0.83t^2 . Find the average velocity over the given time intervals.
[6, 7]: [6, 6.5]: [6, 6.1]: [6, 6.01]: [6, 6.001]:
Answer:
6,6.5
Step-by-step explanation:
Give the domain and range. On a coordinate plane, points are at (negative 2, negative 1), (0, 1), (2, 3). a. domain: {2, 0, 2}, range: {1, 1, 3} b. domain: {–1, 1, 3}, range: {–2, 0, 2} c. domain: {–2, 0, 2}, range: {–1, 1, 3} d. domain: {1, 1, 3}, range: {2, 0, 2} Please select the best answer from the choices provided A B C D
Answer:
c. domain: {-2, 0, 2}, range: {-1, 1, 3}
Step-by-step explanation:
From the given points (negative 2, negative 1), (0, 1), (2, 3), we can determine the domain and range.
The domain represents the set of all possible x-values of the points, and the range represents the set of all possible y-values of the points.
In this case, we can see that the x-values are -2, 0, and 2, and the corresponding y-values are -1, 1, and 3.
Therefore, the correct answer is:
c. domain: {-2, 0, 2}, range: {-1, 1, 3}
derivate (cos(3x^2). (5x^3 -1)^1/3 +sin 4x^3)^4
\( \: \: \: \: find \: first \: derivative \\ ( cos(3x {}^{2} ) \times ( \sqrt[3]{5x {}^{3} - 1} ) + \sin(4x {}^{3} ) {}^{4} \)
Answer:
Step-by-step explanation:
\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; \frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] --- eq(1)\)
Lets look at the derivative part:
\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)] \\\\= \frac{d}{dx}[cos(3x^2) \sqrt[3]{5x^3 -1} ] + \frac{d}{dx}[sin(4x^3)]\\\\=cos(3x^2) \frac{d}{dx}[ \sqrt[3]{5x^3 -1} ] + \sqrt[3]{5x^3 -1}\frac{d}{dx}[ cos(3x^2) ] + cos(4x^3) \frac{d}{dx}[4x^3]\\\\=cos(3x^2) \frac{1}{3} (5x^3 -1)^{\frac{1}{3} -1} \frac{d}{dx}[5x^3 -1] + \sqrt[3]{5x^3 -1} (-sin(3x^2))\frac{d}{dx}[ 3x^2] + cos(4x^3)[(4)(3)x^2]\)
\(=\frac{cos(3x^2) 5(3)x^2}{3(5x^3 - 1)^{\frac{2}{3} }} -\sqrt[3]{5x^3 -1}\; sin(3x^2) (3)(2)x + 12x^2 cos(4x^3)\\\\=\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)\)
Substituting in eq(1), we have:
\(\frac{d}{dx} [cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^4\\\\=4[cos(3x^2) \sqrt[3]{5x^3 -1} +sin(4x^3)]^3\; [\frac{5x^2cos(3x^2) }{(5x^3 - 1)^{\frac{2}{3} }} -6x\sqrt[3]{5x^3 -1}\; sin(3x^2) + 12x^2 cos(4x^3)]\)
Choose the answer that best represents the situation described below.
Michelle is going to tile the bathroom floor. She knows that the smaller the
tiles are, the more tiles she will need to cover the floor.
O A. The size of the tiles is a function of the size of the floor.
OB. The number of tiles needed to cover the floor is a function of the
size of the tiles.
C. The size of the tiles is a function of the number of tiles needed to
cover the floor.
Answer:
The size of the tiles is a function of the number of tiled needed to cover the floor.
A photocopy machine can copy 42 pages every two minutes. How many pages can it
photocopy in 5 minutes?
Answer choices
4.2
420
105
21
Answer:
C. 105Step-by-step explanation:
2 min → 42 pages5 min → xCross-multiply and solve for x:
x = 5*42/2x = 105 pagesCorrect choice is C
The interval [0,3] is partitioned into n equal subintervals, and a number xi is arbitrarily chosen in the ith subinterval for each i. Then lim n -> infinity n E i=1 (6xi-3)/n
The limit of the sum (6xi-3)/n as n approaches infinity is 9, which means that as the number of subintervals in the interval [0,3] becomes larger and larger, the sum of the values (6xi-3)/n approaches 9.
The limit is a concept in mathematics that helps us understand what happens as a function or a sequence approaches a certain value.
In this particular problem, we are looking at the limit of a sum of values as the number of subintervals in the interval [0,3] approaches infinity.
The interval [0,3] is divided into n equal subintervals and a number xi is chosen arbitrarily in the ith subinterval. We then look at the sum of the values (6xi-3)/n for all n subintervals.
Mathematically, we can write this sum as:
S = (6xi-3)/n for i = 1, 2, ..., n
And the limit of S as n approaches infinity can be written as:
lim n -> infinity S = lim n -> infinity (6xi-3)/n
Now, we use the concept of a Riemann Sum to evaluate the limit of this sum. A Riemann Sum is a way of approximating the area under a curve by breaking it down into rectangles and summing their areas.
In our case, we can think of the sum S as a Riemann Sum for the function f(x) = 6x-3 over the interval [0,3]. As n approaches infinity, the width of the subintervals approaches 0, and the sum S approaches the definite integral of f(x) over [0,3].
Using the fundamental theorem of calculus, we can find the definite integral of f(x) over [0,3] as:
∫f(x)dx = 6x^2/2 - 3x evaluated from 0 to 3
And this value is 9, so the limit of S as n approaches infinity is 9.
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The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.22
.
How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 99%
confidence level with an error of at most 0.03
? Round your answer up to the next integer.
A sample size of 176 tenth graders would be needed in order to estimate the fraction of students with reading skills at or below the eighth grade level at a 99% confidence level having an error of at most 0.03.
To calculate the sample size required for estimating the fraction of tenth graders with reading skills at or below the eighth grade level, we can use the formula for sample size estimation for proportions;
n = (ZZ × p × (1 - p)) / (EE)
where; n = sample size
Z = Z-score corresponding to the desired confidence level (in this case, the Z-score for a 99% confidence level, which is approximately 2.626)
p = estimated population proportion (in this case, 0.22)
E = desired margin of error (in this case, 0.03)
Plugging in the given values;
n = (2.6262.626 × 0.22 × (1 - 0.22)) / (0.030.03)
n = 0.15774 / 0.0009
n ≈ 175.27
Since we need to round up to the next integer, the sample size required would be 176.
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The Awsome Bowl Factory makes two kinds of bowls. they produce a basic bowl every 6 minutes and a gigantic bowl every 15 minutes. They start at 8:00 a.m. how many minutes after they start will both bowls be produced together?
Answer:
21 minutes or 8:21 a.m
Step-by-step explanation:
6+15=21
Suppose that 50% of the watches produced by a certain factory are defective. A store buys a box with 400 watches produced by this factory. Assume That this is a random sample.(a) Write an expression for the exact probability that at least 215 watches out ofthe 400 are defective. You do not need to numerically evaluate it.(b) Argue whether the normal or the Poisson approximation is appropriate to es-timate the above probability and then estimate it.
Answer:
\((a)\ P(x \ge 215)\)
\((b)\ P(x \ge 214.5) = 0.07353\)
Step-by-step explanation:
Given
\(p = 0.50\) ---- proportion of watches with defects
\(n = 400\) --- Number of watches
Solving (a): Represent at least 215 of 400 are defective
In inequalities, at least means: \(\ge\)
So, the probability is represented as: \(P(x \ge 215)\)
Solving (b): Calculate \(P(x \ge 215)\)
Normal or Poisson: Normal distribution is characterized by 2 parameters \(\mu\) and \(\sigma\).
These two parameters can be easily calculated from the given parameters in the question. So, we solve using normal distribution
Start by calculating the mean
\(\mu =np\)
\(\mu = 0.50 * 400\)
\(\mu = 200\)
Calculate standard deviation
\(\sigma = \sqrt{\mu (1 - p)\)
\(\sigma = \sqrt{200 * (1 - 0.50)\)
\(\sigma = \sqrt{200 * 0.50\)
\(\sigma = \sqrt{100\)
\(\sigma = 10\)
By continuity correction, we have:
\(x \to x - 0.5\)
\(x \to 215 - 0.5\)
\(x \to 214.5\)
So, we have:
\(P(x \ge 215) = P(x \ge 214.5)\)
Calculating \(P(x \ge 214.5)\), we have:
\(P(x \ge 214.5) = 1 - P(x < z)\)
Calculate z score
\(z = \frac{x - \mu}{\sigma}\)
\(z = \frac{214.5 - 200}{10}\)
\(z = \frac{14.5}{10}\)
\(z = 1.45\)
So, we have:
\(P(x \ge 214.5) = 1 - P(x < 1.45)\)
Using the z score probability table, we have:
\(P(x < 1.45) = 0.92647\)
So, we have:
\(P(x \ge 214.5) = 1 - 0.92647\)
\(P(x \ge 214.5) = 0.07353\)
the length of a rectangle exceeds the width by 14 cm the perimeter of the rectangle is 160 cm find the Length and width of the rectangle
Answer:
width 14 perimeter 160 (l=66 cm)
Please help me with this please
Answer:
x^2+8x+16
Step-by-step explanation:
Factored (x+4)^2
WILL GIVE 5 STARS
Angela plays soccer and golf for a total of 125 minutes every day. She plays soccer 45 minutes more than she plays golf.
Part A: Write a pair of linear equations to show the relationship between the number of minutes Angela plays soccer (x) and the number of minutes she plays golf (y) every day. (5 points)
Part B: How much time does Angela spend playing golf every day? (3 points)
Part C: Is it possible for Angela to have spent 80 minutes playing soccer every day? Explain your reasoning.
A: The linear equations are x + y = 125 and x = y + 45.
B: Everyday Angela spends 40 minutes in playing golf.
C: No, it is not possible for Angela to spend 80 minutes playing soccer every day.
What is a linear equation?
A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.
Part A:
Let x be the number of minutes Angela plays soccer every day
Let y be the number of minutes Angela plays golf every day
According to the problem statement the linear equations are -
x + y = 125 (total time playing both sports is 125 minutes)
x = y + 45 (Angela plays 45 more minutes of soccer than golf)
Part B:
Substitute x = y + 45 into the first equation -
(y + 45) + y = 125
Use the addition operation -
2y + 45 = 125
2y = 80
y = 40
Angela spends 40 minutes playing golf every day.
Part C:
If Angela spends 80 minutes playing soccer every day, then
x = 80
y + 45 = 80 (using the equation x = y + 45)
y = 35
But this would mean that she plays golf for 35 minutes and soccer for 80 minutes, which adds up to a total of 115 minutes.
This is not possible since the problem states that Angela plays both sports for a total of 125 minutes every day.
Therefore, it is not possible for Angela to have spent 80 minutes playing soccer every day.
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4) You are making a batch of cookies. Each batch uses 3 cups of flour and will give 7 servings. You
are going to multiply your recipe to offer more servings, so you use 11 cups of flour. How many
servings will you actually be able to offer?
a. 22
b. 25
31
d. 38
C.
rolexing and upsetting. For at that time I had already
Answer:
B is correct
Step-by-step explanation: