Answer: 140,000
............................
please show all work
Add and Subtract Rationals - Assess It < > Algebra II -S2-MI / Rationals and Radicals/Lesson 115 Jump to: SUBMISSION DATTACHMENTS OBJECTIVES Objective You will add and/or subtract rational expressions
The answer to the question is that you need to add and/or subtract rational expressions. When adding or subtracting domain rational
expressions, you first need to make sure the denominators are the same.
To do this, you need to find the least common multiple (LCM) of the two denominators.To add the rational expressions with the same denominator, you simply add the numerators.
However, when the denominators are different, you first need to find the LCD of the rational expressions. Then, you need to create equivalent
fractions with the LCD and add the numerators. Finally, you simplify the resulting fraction.To subtract rational expressions with the same
denominator, you simply subtract the numerators. However, when the denominators are different, you first need to find the LCD of the rational
expressions. Then, you need to create equivalent fractions with the LCD and subtract the numerators. Finally, you simplify the resulting fraction.In
summary, adding and subtracting rational expressions requires finding the LCD, creating equivalent fractions, adding or subtracting the numerators, and simplifying the resulting fraction.
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jason goes to the sandwich shop for lunch the prices for sandwiches are listed below
peanut butter and jelly $1.75
meatball $2.50
ham and cheese $2.25
what number completes the sentence 3m = ?
Questions in photo
Please help
Applying the tangent ratio, the measures are:
5. tan A = 12/5 = 2.4; tan B = 12/5 ≈ 0.4167
7. x ≈ 7.6
How to Find the Tangent Ratio?The tangent ratio is expressed as the ratio of the opposite side over the adjacent side of the reference angle, which is: tan ∅ = opposite side/adjacent side.
5. To find tan A, we have:
∅ = A
Opposite side = 48
Adjacent side = 20
Plug in the values:
tan A = 48/20 = 12/5
tan A = 12/5 = 2.4
To find tan B, we have:
∅ = B
Opposite side = 20
Adjacent side = 48
Plug in the values:
tan B = 20/48 = 5/12
tan B = 12/5 ≈ 0.4167 [nearest hundredth]
7. Apply the tangent ratio to find the value of x:
tan 27 = x/15
x = tan 27 * 15
x ≈ 7.6 [to the nearest tenth]
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Find the area of the parallelogram whose vertices are given below.A(0,0,0) B(3,4,5) C(6,2,5) D(3,-2,0)The area of parallelogram ABCD is Q. (Type an exact answer, using radicals as needed.)
Area of parallelogram = Base × Height`= √50 × (-25/√466)`= `-25√(50/466)`= `-25√(25/233)`= `-25/√233`Therefore, the area of parallelogram ABCD is `-25/√233`.
The formula to find the area of the parallelogram is given as follows; Area of parallelogram = Base × Height Here, we can take AB as the base of the parallelogram. Now, we need to calculate the height of the parallelogram from side DC and multiply it with base AB to get the area of the parallelogram. We can calculate the height of the parallelogram by calculating the perpendicular distance from vertex B to the plane containing ABC.So, we can get the main answer as follows: Since we can take AB as the base of the parallelogram. Base AB = `√((3 - 0)² + (4 - 0)² + (5 - 0)²)`= `√(3² + 4² + 5²)`= `√50` Height of parallelogram from DC = Distance between vertex B and the plane containing ABC`= (ax + by + cz + d)/√(a² + b² + c²)`Here, the coefficients of x, y, and z for the plane ABC are as follows;a = (2 - 4)(0 - 5) - (-2)(0 - 5 - 0) = -16b = -(3 - 6)(0 - 5) - (0 - 5)(0 - 5) = 15c = (3 - 6)(0 - 0) - (4 - 0)(0 - 5) = -15d = 16(0) + 15(0) - 15(0) + c`=> c = -1`Now, the equation of the plane is given as `x - 2y - z = d`.
Substituting the values of coordinates (3,4,5) in this equation, we can get the value of d.`3 - 2(4) - 5 = d`=> d = -7 Therefore, the equation of the plane is given as `x - 2y - z = -7`.So, the height of the parallelogram from DC`= (x₂y₁ - x₁y₂ + x₁z₂ - x₂z₁ + y₂z₁ - y₁z₂)/√(a² + b² + c²)`= `(6(4) - 3(2) + 3(5) - 6(5) + 2(5) - 4(5))/√(16 + 225 + 225)`= `-25/√466`Now, we can calculate the area of parallelogram ABCD using the above formula. Area of parallelogram = Base × Height`= √50 × (-25/√466)`= `-25√(50/466)`= `-25√(25/233)`= `-25/√233` Therefore, the area of parallelogram ABCD is `-25/√233`.
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A rectangle is located on a coordinate plane. If the ordered pair (t, u) represents a vertex of this rectangle, which algebraic representation describes the effect of translating the rectangle 8 units up and 3 units left?
Answer: (t,u) -> (t-3, u+8)
Step-by-step explanation: Up is the y value and left is the x value.
In the point ( t,u) t is the x value and u is the y value.
Moving to the left, you subtract the value and moving up you add the value.
The answer would be (t, u) → (-t – 3, u + 8)
4. Six workers are hired to weed a field by
hand. Each is given a plot which is 9x11
feet in size. What is the total area of the
field?
Answer:
594 square feet
Step-by-step explanation:
Area of a rectangle is length times width. We can find the area of each workers plot by multiplying 9 and 11 to get 99 sq feet. There is six workers, and therefore six plots of land, so we'd take our 99 sq feet and count that six times to get 594 square feet.
Answer:
594 square feet
Step-by-step explanation:
As a fundraiser for a debate club, the Pikesville High School debate club plans to sell
T-shirts that feature the school logo. The company producing the T-shirts will
charge the club $250 for the design and set-up costs, plus $10 per T-shirt. The club
members have decided to sell the T-shirts for $15 each.
How many shirts does the debate club need to sell in order to break even?
The number of shirts that the debate club need to sell on order to break even would be = 17 T-shirts.
How to calculate the number of T-shirts to be sold?The total amount of money that the company producing the T-shirts will charge the club = $250
The total charge contains the following:
The design,the set-up cost andThe cost for making each T-Shirt.The amount to sell each T-Shirt. = $15 each.
The number of T-shirts that can be sold = 250/15 = 16.6
That is approximately = 17 T-shirts.
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Could anyone help me with this question please?
construction = divide the figure into two parts.
now we have triangle abd and bdc.
first calculate the area of abd.
area of triangle= 1/2×base ×height
area of triangle= 1/2×18×7.5
area of triangle=67.5cm²
second calculate area of bdc
area of triangle=1/2×15.6×11.7
area of triangle=91.26cm²
area of the figure=area of abd + area of bdc
area of the figure=67.5cm²+ 91.26cm²
area of figure=158.76 cm².
Five out of seven cheerleaders can do a back tuck. If there are 490 cheerleaders in the cheer camp, how many cheerleaders can do a back tuck?
350 cheerleaders. the rate 5:7 is how many do a back tuck. soo the rate 5:7 is the same as 350:490 simplify is 35:49 simplifyed by 7 to 5:7 a
Step-by-step explanation:
the ratio is 5:7 for how many do a back tuck.
soo the rate 5:7 is the same as 350:490 // 35:49 // 5:7. hope that helps!!
What is the unreasonable ineffectiveness of mathematics in the natural sciences?
The unreasonable ineffectiveness of mathematics in the natural sciences is a phrase coined by physicist Eugene Wigner in his famous 1960 essay of the same name. Wigner observed that mathematics, despite being an incredibly powerful and precise tool, often fails to fully capture or explain certain phenomena in the natural sciences.
He noted that while mathematical models can provide valuable insights and predictions, they often fall short of fully describing complex physical systems.
Wigner argued that this was an unexpected and mysterious aspect of the relationship between mathematics and the natural sciences. He suggested that perhaps the universe operates in a way that is fundamentally beyond our mathematical comprehension, or that we have yet to discover the correct mathematical language to describe it.
Despite this, Wigner acknowledged that mathematics has still been an incredibly successful and indispensable tool in the natural sciences, allowing us to make tremendous advances in fields such as physics, chemistry, and biology.
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Brad and Allison have three girls. Brad tells Allison that he would like one more child because they are due to have a boy. What do you think of​ Brad's logic?
Brad's logic is flawed and does not hold any scientific basis. The gender of a child is determined by the combination of genetic factors from both parents
. Each pregnancy is an independent event, and the probability of having a boy or a girl is not influenced by the gender of the previous children. The belief that having a certain number of children of one gender increases the likelihood of having a child of the opposite gender is known as the "gamblers fallacy" or "Monte Carlo fallacy." In reality, the probability of having a boy or a girl remains approximately 50% for each pregnancy, regardless of the gender composition of the existing children.
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[Question 1] You are working with a population of crickets. Before the mating season you check to make sure that the population is in Hardy-Weinberg equilibrium, and you find that the population is in equilibrium. During the mating season you observe that individuals in the population will only mate with others of the same genotype (for example Dd individuals will only mate with Dd individuals). There are only two alleles at this locus ( D is dominant, d is recessive), and you have determined the frequency of the D allele =0.6 in this population. Selection acts against homozygous dominant individuals and their survivorship per generation is 80%. After one generation the frequency of DD individuals will decrease in the population. F
:According to the question:You are working with a population of crickets. Before the mating season you check to make sure that the population is in Hardy-Weinberg equilibrium, and you find that the population is in equilibrium.
During the mating season you observe that individuals in the population will only mate with others of the same genotype (for example Dd individuals will only mate with Dd individuals). There are only two alleles at this locus ( D is dominant, d is recessive), and you have determined the frequency of the D allele =0.6 in this population. Selection acts against homozygous dominant individuals and their survivorship per generation is 80%. After one generation the frequency of DD individuals will decrease in the population.
According to the Hardy-Weinberg equilibrium equation p² + 2pq + q² = 1, the frequency of D (p) and d (q) alleles are:p + q = 1Thus, the frequency of q is 0.4. Here are the calculations for the Hardy-Weinberg equilibrium:p² + 2pq + q² = 1(0.6)² + 2(0.6)(0.4) + (0.4)² = 1After simplifying, it becomes:0.36 + 0.48 + 0.16 = 1This means that the population is in Hardy-Weinberg equilibrium. This is confirmed as the frequencies of DD, Dd, and dd genotypes
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Determine whether the polygons are always, sometimes, or never similar. Explain your reasoning.
a trapezoid and a parallelogram
A trapezoid and parallelogram can be sometimes similar, as they can have the same shape but different sizes.
1. Similar polygons have the same shape but can be different sizes.
2. A trapezoid and a parallelogram can have the same shape, but their angles and side lengths may differ.
3. Therefore, they can be sometimes similar, depending on their specific measurements.
A trapezoid and parallelogram can be sometimes similar, as they can have the same shape but different sizes. Polygons have the same shape but can be different sizes.
A trapezoid and a parallelogram can have the same shape, but their angles and side lengths may differ.Therefore, they can be sometimes similar, depending on their specific measurements.
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suppose we fix a tree t. the descendent relation on the nodes of t is(a)a partial order(b)a strict partial order(c)an equivalence relation(d)a linear order(e)none of the other options
The correct option is (b) a strict partial order.
What is the descendant relation on the nodes of a fixed tree?In the context of a tree (T) with nodes and a descendant relation, the correct option is (b) a strict partial order.
Your answer: The descendant relation on the nodes of a fixed tree (T) is a strict partial order. This is because the relation satisfies the following properties:
1. Irreflexivity: A node cannot be a descendant of itself.
2. Transitivity: If node A is a descendant of node B, and node B is a descendant of node C, then node A is also a descendant of node C.
3. Asymmetry: If node A is a descendant of node B, then node B cannot be a descendant of node A.
These properties define a strict partial order.
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Which of the contexts below could be modeled by a linear function?
Money invested in a savings account grows at an annual rate of 2.6%.
A smartphone data plan charges a $65/month and $0.46/GB of data used.
A certain population of 24 aggressive zombies quintuples every hour.
A town's population shrinks at a rate of 8.2% every year.
The context that could be modeled by a linear function is A. A smartphone data plan charges $65/month and $0.46/GB of data used.
The total cost of the data plan depends linearly on the amount of data used. The monthly fixed cost of $65 represents the y-intercept, and the variable cost of $0.46/GB represents the slope of the linear function.
What is a linear function?A linear function is a rule in Maths that links two things on a graph using a straight line.
For instance: y = mx + b
In this equation
y = the thing that depends on something else (like time),
x = the thing it depends on (like distance),
m = how much y changes when x changes and
b = where the line starts on the up-and-down axis.
So, the slope (m) shows how y changes when x changes and the starting point (b) tells us where the line begins.
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in 5-8, find each reciprocal. 5/9 8 7/3 1/12
the answer
155
324
5/9 (87/3(1/12)= 155/324
Consider f(x)=x(x^3+1)+6x^2-8xDescribe the end behavior include how you got your awnser
To find the end behavior of the function:
\(f(x)=x(x^3+1)+6x^2-8x\)We look at the graph of it:
And look at what happens when the x is to small and to big.
• When x goes to infinity the function goes to infinity.
,• When x goes to minus infinity the function goes to infinity.
The other way to find this is taking the limits to infinity in each end:
\(\lim _{x\to\infty}f(x)=\infty\)\(\lim _{x\to-\infty}f(x)=-\infty\)
Show your work Please!
Answer:
5) 268.08cm
6)1150.35mi
7)33.51in
8)904.78yd
Step-by-step explanation:
5) V= 4/3πr^3
V=4/3π4^3
V=268.08257
6) r=1/2d
r=1/2(13)
r=6.5
V= 4/3πr^3
V= 4/3π 6.5^3
V=1150.3465
7) V= 4/3πr^3
V= 4/3π 2^3
V=33.510
8)V= 4/3πr^3
V= 4/3π 6^3
V=904.778
what is the equation asking you do? what is your plan to solve?
These questions are going to help while you are doing a problem! so use them often!
This statement is TRUE. When we are doing a problem, we could use these questions " what is the equation asking you do? what is your plan to solve?" as the part of starting solving the problem in math about equation matter.
About equationIn mathematics, an equation is an equation statement that contains one or more variables. Solving equations consists of determining which variable values makes an equality true. The variable is also called "unknown" and the value of an "unknown" that satisfies the equation is called the equation solution. There are two types of equations: identity and conditional equations. True identity for all variable values. The conditional equation is true only for certain variable values.
An equation is a mathematical statement in the form of a symbol which states that two things are exactly the same. Equations are written with an equal sign (=), as follows:
x + 3 = 5, which states that value x = 2.
2x + 3 = 5, which states that the value x = 1.
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Which are true and which are false
what is the probability of obtaining a z value less than 1.5?
Answer:
About .9332
Step-by-step
This tells us that the probability that a z value is less than or equal to 1.5 is about .9332. Thus, the shaded region is about 93.32% of the entire curve. Let's try another example.
write an exponentia function with a parent base of 2 that has a domain of {x|xeR }and a range of {y|y>-5}
The exponential function that satisfies the given conditions is y = 2ˣ- 6.
An exponential function with a parent base of 2 can be written as y = 2ˣ. To ensure that the range is {y|y>-5}, we need to add a constant term to the function.
We can write the exponential function as y = 2ˣ + k, where k is a constant term.
To find the value of k, we can plug in the smallest value in the range, which is -5, and solve for k:
-5 = 2ˣ + k
k = -5 - 2ˣ
Since the domain is {x|x∈R}, we can plug in any value for x. Let's plug in 0 for x:
k = -5 - 2⁰
k = -5 - 1
k = -6
So, the exponential function with a parent base of 2 that has a domain of {x|x∈R} and a range of {y|y>-5} is y = 2ˣ - 6.
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what is the square root of 5
Answer:
The square root of 5 is 2.2360679775
a group of trick-or-treaters collect 275 pieces of candy in 3 hours. Whats the unit rate?
Answer:9.14 candies per a hour
Step-by-step explanation:
Select the correct answer from each drop-down menu.
Consider triangles PQR, MNO, and STU, which have resulted from rotating, reflecting, and translating triangle XYZ.
Answer:
Not Similar because they don't have equivalent angles.
Step-by-step explanation:
First one is D
Second one is A
The Triangle XYZ is Congruent to PQR by ASA congruence, the Triangle XYZ is Congruent to MNO by SSS congruence, the Triangle XYZ is Congruent to STU by SAS congruence
What is a Triangle?A triangle is a polygon with three sides, they are classified as acute angle triangle, right angle triangle, obtuse angle triangle on the basis of angles subtended by the vertices.
The triangles PQR, MNO, XYZ, STU can be seen in the figure
Triangles PQR, MNO, and STU, which have resulted from rotating, reflecting, and translating triangle XYZ.
The Triangle XYZ is Congruent to PQR by ASA congruence
From the image
XY = PQ
∠YXZ= ∠QPR
∠YZX = ∠PQR
The Triangle XYZ is Congruent to MNO by SSS congruence
From the image
XY= MN
YZ=ON
ZX=OM
The Triangle XYZ is Congruent to STU by SAS congruence
XY = ST
∠YXZ=∠TSU
XZ= SU
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Please help! Worth 36 points!
Answer:
a. Same Side Interior Angles
b. Corresponding Angle
c. Alternate Exterior Angle
d. Alternate Interior Angles
e. 20
f. 70
Step-by-step explanation:
e. Corresponding angle add up to 90 degrees. Which you have to subtract 110 to 90 and is 20
f. same side interior angle adds up to 180 degrees. Which you have to subtract 180 to 110 and it is 70
Tell whether the points form a right triangle.
( − 8, 6), (7, 9), (0, — 13)
The number of pages read, p, varies directly as the number of minutes spent reading, m. After 15 minutes, zoe had read 10 pages. Find the equation represents the relationship.
By using the concept of direct proportion, it can be calculated that
The equation which represents the given relationship is
\(p = \frac{2}{3}m\)
What is direct proportion?
Suppose there are two quantities. Proportionality indicates that if there is a change in the value of one quantity, the value of other quantity also changes but maintaining a constant ratio
Direct proportion
Two quantities are said to be in direct proportion if on increasing the value of one quantity, the value of other quantity also increases and vice versa.
For example cost of a commodity and quantity of a commodity are in direct proportion
The number of pages read, p, varies directly as the number of minutes spent reading, m.
So the equation is
p = km, where k is the constant of proportionality
After 15 minutes, Zoe had read 10 pages.
Putting m = 15 and p = 10
10 = k \(\times\) 15
k = \(\frac{10}{15}\)
k = \(\frac{2}{3}\)
So the equation which represents the given relationship is
\(p = \frac{2}{3}m\)
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Which expression is equivalent to 8/6?
•/14
•/48
•/96
•/384
Answer:
./48
Step-by-step explanation:
If you roll a dice four times, what is the chance that you roll two 3s?
Answer:
11.57%
Step-by-step explanation:
The probability of rolling two 3s is the product of the probability of rolling two 3s and two not-3s, and the number of ways that combination of rolls can appear.
__
combinations of rollsOf the four die rolls, we want two of them to be 3s. The 3s can appear anywhere in the sequence. For example, we could have 33xx, or xx33, or any of a number of other combinations (where x is a "not 3"). The total number of ways two 3s can appear an a sequence of 4 rolls is ...
C(4, 2) = 4!/(2!(4 -2)!) = 4·3/(2·1) = 6
__
probability of two 3s and two not-3sThe probability of rolling a 3 on a fair 6-sided die with one face labeled 3 is presumed to be 1/6. Then the probability of rolling something else is ...
1 -1/6 = 5/6
So, two 3s and two not-3s in a given sequence have a probability of ...
(1/6)(1/6)(5/6)(5/6) = 25/1296
__
two 3s in 4 rollsThe probability that four rolls of the die will show exactly two 3s is the product of the probability it can happen and the number of ways it can happen:
(25/1296) × 6 = 25/216 ≈ 11.57%
_____
The attachment shows the probability function of a calculator gives the same result.