Answer:
skew or parallel lines
If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?
Answer:
(fg)(-2) = 18
Step-by-step explanation:
f(x) = 8 – 10x
g(x) = 5x + 4
To find (fg)(-2) or f(g(-2)), first let's find g(-2) by subbing -2 in for x in g(x):
g(x) = 5x +4
g(-2) = 5(-1) +4 = -5+4 = -1
Knowing g(-2)=-1, we can now find f(g(-2)) by subbing -1 in for x in f(x):
f(x) = 8 – 10x
f(-1) = 8 - 10(-1) = 8+10 =18
A bookshelf contains 5 cookbooks, 4 novels, 6 picture books, and 1 dictionary. A book is randomly selected. When finding the probability of the book being a novel or a dictionary, identify the compound events.
The probability of the book picking at random is a novel or a dictionary is 1/8.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
Bookshelf:
5 cookbooks, 4 novels, 6 picture books, and 1 dictionary.
Total number of books = 5 + 4 + 6 + 1 = 16
The probability of picking a novel.
= 1/16
The probability of picking a dictionary.
= 1/16
The probability of the book picking at random is a novel or a dictionary.
= 1/16 + 1/16
= 2/16
= 1/8
Thus,
The probability is 1/18.
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In the triangle below, ZC is a right angle. Suppose that m Z B=(2x+43)° and m Z D= (5x+5)°.
(a) Write an equation to find x. Make sure you use an "=" sign in your
D
(5x +5)
(2x+43)
Equation:
(b) Find the degree measure of each angle.
mZB=
m2c=
mZD=
0=0
X
Answer:
a) 7x + 48 = 90 which simplifies to 7x = 42
b) m∠B = 35°m m∠C = 90°, m∠D = 55°
Step-by-step explanation:
The three angles of a triangle add up to 180°
Therefore the sum of the measures of angles B, C and D should be 180
==> m∠B + m∠C + m∠d = 180
Since m∠C = 90,
m∠B + 90 + m∠D = 180
m∠B + m∠D = 180 - 90 = 90
Since m∠B = (2x+43)° and m∠D = (5x+5)°.
(2x + 43) + (5x + 5) = 90
==> 7x + 48 = 90
==> 7x = 90 - 48 = 42
==> x = 42/7 = 6
b)
m∠B = 5 x 6 + 5 = 35°
m∠C = 90°
m∠D = 2 x 6 + 43 = 12 + 43 = 55°
Graph the quadrilateral with the given vertices in the coordinate plane.
Because EF = GH = 4, EF≅GH, Because these are vertical line segments, their are slope undefined and they are parallel. EF and GH are opposite sides that are equal and parallel. So, EFGH is a parallelogram by the definition of a parallelogram.
What is a parallelogram?
A parallelogram is a simple quadrilateral with two pairs of parallel sides in Euclidean geometry. A parallelogram's opposite or facing sides are equal in length, and its opposite angles are equal in size.
Given that E(-3,0), F(-3,4), G(3,-1),H(3,-5)
The quadrilateral is attached below.
The distance between two points (x₁, y₁) and (x₂, y₂) is √[(x₂ - x₁)² + (y₂ - y₁)²].
The length of EF is √[(-3 -(-3))² + (4- 0)²] = √4² = 4
The length of GH is √[(3 -3)² + (-1- (-5))²] = √4² = 4
Therefore, EF = GH = 4
The line segments are congruent.
The line segments are vertical, thus the slope of the line is undefined.
If opposite sides are equal and parallel, then the quadrilateral is a parallelogram.
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The width of a rectangle is 4 2/3cm. If the rectangle is twice as long as it is wide what is the area of the rectangle
8 4/3
Hello sorry i dont have explanation
15 weavers can weave some length of cloth in 1 hr 24 minutes how many more weavers will be required to do the same job in 60 minutes
First, we need to convert the time of 1 hour and 24 minutes into minutes. Since there are 60 minutes in an hour, 1 hour and 24 minutes is equivalent to 1 * 60 + 24 = 84 minutes.
Now we can find out how much cloth 15 weavers can weave in 60 minutes by dividing the cloth length woven in 84 minutes by 84 and then multiplying the result by 60.
Let's call the length of cloth "L"
L = (15 * 84) / 60 = 21
So, 15 weavers can weave 21 units of cloth in 60 minutes.
If we want to find out how many weavers will be required to do the same job in 60 minutes, we can divide the length of the cloth by the number of weavers.
15 weavers = 21 units of cloth
So, the number of weavers required to weave the same amount of cloth in 60 minutes is 21/15= 1.4
So, 1 more weaver will be required to do the same job in 60 minutes.
find a solution y = 3 x − 4
Answer: The equation y = 3x - 4 is a linear equation in slope-intercept form, where the slope (3) is the coefficient of x and the y-intercept (-4) is the constant term. To find a solution for this equation, we can substitute a specific value of x and solve for the corresponding value of y.
For example, if we let x = 2, we can substitute it into the equation:
y = 3(2) - 4 = 6
So the solution for x=2 is y=6
We can also graph this equation, it will be a straight line with slope 3 and y-intercept (-4)
Step-by-step explanation:
Rajani wants to use a sheet of fiberboard 31 in long to create a skateboard ramp with a 19° angle of elevation from the ground how high would a ramp rise if the ground is at its highest end
The height of the ramp above the ground is 10.1 inches.
How to find the height of the ramp?Rajani wants to use a sheet of fibreboard 31 in long to create a skateboard ramp with a 19° angle of elevation from the ground.
The height of the ramp can be calculated as follows:
The situation forms a right angle triangle.
Using trigonometric ratios,
sin 19 = opposite / hypotenuse
where
opposite side = height of the ramp
hypotenuse = 31 inches
Therefore,
sin 19 = x / 31
cross multiply
x = 31 sin 19
x = 31 × 0.32556815445
x = 10.0926127882
Therefore,
height of the ramp = 10.1 inches
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EASY POINTS!
Winter has just begun. After one week, the temperature decreased by 46.8° with a
percent change of 72%. What was the temperature at the beginning of the week and
what is the temperature now?
The temperature at the beginning of the week was 166.43°, and the temperature now is 119.63°.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
Let's represent the initial temperature "T". Then, the temperature after one week is T - 46.8.
The percent change in the temperature is given as 72%. So, we have:
(T - 46.8) / T = 72% / 100%
Solving for T, we get:
T = 46.8 / (1 - 72%) = 46.8 / 0.28 = 166.43°
So the temperature at the beginning of the week was 166.43°, and the temperature now is 166.43° - 46.8° = 119.63°.
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help
Graph g(x)=4cosx .
Use 3.14 for π .
5 because the value of pi is 3.14 and therfore the graph must be a rational and a multiple of 3
Graph the 3 lines k, l, and m based on the following
information: Line k is parallel to line / and perpendicular to
line m. Line k passes through the origin (0, 0) and has a slope
of ½. Line m intersects line k at the point (4, 2). Line / has a y-
intercept of 4. Graph and label the 3 lines. Circle the letter of
the statement below which is false. Explain why it is false.
Step-by-step explanation:
If l and k are lines in the xy-plane, is the product of the slopes of l and k equal to -1 ?
(1) Line l passes through the origin and the point (1,2).
(2) Line k has x-intercept 4 and y-intercept 2
Audrey and Lauren began reading a novel on the same day. Audrey reads 15 pages a day and Lauren reads 5 pages a day. If Audrey is on page 45, on what page is Lauren?
If Audrey is on page 75, then Lauren is on page 25.
What is ratio and proportion?It is the comparison of two quantities of the same kind is called ratio.
It is an equation in which two ratios are equal is proportions
Given;
Audrey reads 15 pages a day and Lauren reads 5 pages a day.
So, the ratio of number of pages for Audrey and Lauren would be;
15 : 5
Let 'n' be the number of pages Lauren read when Audrey is on page 75.
Now, the ratio of number of pages would be;
75 : n
Here, both the ratios are in proportion;
15/5=75/n
15x n= 75x5
n=25
Therefore, Lauren is on page number 25.
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helpp pleaseeeeeeeeeeeeee
The table that represents the situation when a mattress store is having a sale and are 30% off will be D. Table D.
How to calculate the sales price?From the information given, the table that represents the situation when a mattress store is having a sale and are 30% off.
In this case, Nate wants to know the sale price of the matress that is regularly $1000.
The price after the discount will be:
= $1000 - (30% × $1000).
= $1000 - $300
= $700
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√26 in exponential form.
0.5 is the exponential form, the exponential representation of the square root of 26 is expressed as (26)12 or (26)0.5, while the radical representation uses the symbol 26.
What is 26's simplified square root?5.099 divided by 26 is the square root.
The exponential representation of the square root of 26 is expressed as (26)12 or (26)0.5, while the radical representation uses the symbol 26.
When a number is written in exponential notation, it is often stated as a coefficient between 1 and 10 times the exponent, which is an integral power of 10. If you want to write a number in exponential notation, you should do it in the format: c 10n, where c is an integer and n is a number between 1 and 10 (for example, 1, 2.5, 6.3, 9.8). (e.g. 1, -3, 6, -2).
0.5 is the exponential form,the exponential representation of the square root of 26 is expressed as (26)12 or (26)0.5, while the radical representation uses the symbol 26.
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S Desktop
S Lesson 6-4- Practice & Extra Pra: x +
https://polkcounty.schoology.com/external_tool/2583962061/launch
Question 14 OT ZU V
Question 14
A jug has gallon of water inside it. How many pints of water are in the jug?
pints
A jug has gallon of water inside it. 8 pints of water are in the jug.
What is meant by gallon?
In both imperial and US customary units, the gallon is a unit of volume.The imperial gallon, which has a definition of 4.54609 liters and is or was used in various Caribbean nations as well as the United Kingdom, Ireland, Canada, Australia, and New Zealand.The US gallon, which is used in the US and several nations in Latin America and the Caribbean, is defined as 3.785411784 L.18 US bushel is the definition of a US dry gallon.A gallon contains four quarts and two pints respectively.The differences between imperial and US gallons are explained by variations in pint sizes.The US gallon and imperial gallons have the same IEEE standard symbol, gal, which should not be confused with the gal, a CGS unit of acceleration.To learn more about gallon refer to
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Help please it’s due soon
Answer: 729
Step-by-step explanation:
3 × 3 × 3 × 3 × 3 × 3 = 729.
(Look at picture) ty btw :)!!!!! <3
By simplifying 8 to 23 to make both powers base two and subtracting the exponents.
Explain how the Quotient of Powers property was used to simplify this expression?The Quotient of Powers property is used to simplify an expression with two powers, or exponents, that have the same base. To simplify this expression, first find the quotient of the bases.In this case, the bases of both powers are 8, so the quotient is 8/8 or 1. Then cancel out any common factors. 8/8 cancels out to 1, leaving the expression as 2^3/2^5.Next, simplify the expression further by making both powers have the same base. Since the base of the first power is two, we can simplify 8 to 23 to make the base of the second power two. This leaves us with 2^3/2^8.Finally, use the Quotient of Powers property to simplify the expression by subtracting the exponents. The subtraction results in 2^3-2^5, which simplifies to 2^-2. This is the simplified version of the expression.To learn more about the Quotient of Powers Property refer to:
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What is the measure of L? A. 25 B. Cannot be determined C. 39 D. 32
The required measure of ∠L=25° for the given triangle.
What is a Triangle?A triangle is a closed shape composed of three angles, three sides, and three vertices. It is one of the most fundamental geometric forms and is represented by the symbol Δ.
If two sides of a triangle are congruent, then the angles opposite those sides are congruent.:
∠KJL = ∠JLK
Substitute ∠KJL = 25° into ∠KJL = ∠JLK: 25° = ∠JLK
∠JLK = 25°
Thus, the required measure of ∠L=25°.
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EASY POINTS!
Over the years, separate teams of scientists have been tracking and studying different
bird species in Africa. They want to know if certain bird populations have been
increasing or decreasing over time. For 8 years, one team of scientists has tracked the
African Fish Eagle. When their research began, there were 32,800 African Fish Eagles in
Africa. Today, there are 43,952 African Fish Eagles living in Africa. Meanwhile, another
team of scientists have been tracking the Tawny Eagle. Over the last 8 years, the
population of Tawny eagles went from 7,900 to 10,981. Which eagle species saw a
larger percent increase to their population over the last 8 years?
The percentage increase of Tawny Eagles 39 % during the research is higher than the African Fish Eagle 34 %
What is Percentage Error?The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage error is the difference between the measured value and the true value , as a percentage of the true value
Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100
Given data ,
Let the percentage increase of African Fish Eagle be represented as P
Let the percentage increase of Tawny Eagles be represented as Q
The initial population of African Fish Eagle = 32,800
The final population of African Fish Eagle = 43,952
The percentage increase in population = [( 43952 - 32800 ) / 32800] x 100
On simplifying the equation , we get
The percentage increase in population P = 0.34 x 100 = 34 %
And ,
The initial population of Tawny Eagles = 7,900
The final population of Tawny Eagles = 10,981
The percentage increase in population = [( 10,981 - 7,900) / 7,900 ] x 100
On simplifying the equation , we get
The percentage increase in population Q = 0.39 x 100 = 39 %
Hence , the percentage increase of population of Tawny Eagles is higher
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write an algebraic expression for y multipied by z
Answer:
y(z)
Step-by-step explanation:
sorry that was my opinion
A student doing a research paper on acquired immune deficiency syn-
drome (AIDS) learns that 1/6 of the people with AIDS are in their 20s.
Because the latency period between the time of the HIV infection and
the onset of AIDS is about 10 years, most of these people were infected
as teenagers. If there are 133,758 cases of AIDS, how many were prob-
ably infected as teenagers?
If there are 133,758 cases of AIDS, 22,293 were probably infected as teenagers.
What do you mean by research paper?A research paper is a written work that presents the results of original research or provides an in-depth analysis of a particular topic or issue. Research papers are typically written by scholars, academics, or students, and are commonly submitted as part of a course assignment, a doctoral or master's degree requirement, or for publication in a scholarly journal.
A research paper typically includes several key elements: an introduction that provides background information on the topic and sets the stage for the rest of the paper; a literature review that summarizes existing research on the topic; the methodology section that describes the methods used to conduct the research; the results section that presents the findings of the research; and a discussion or conclusion section that interprets the results and places them in the context of the broader field of study.
The writing style of a research paper is usually formal and objective, with a focus on clearly and accurately communicating the results of the research. Research papers often include citations and references to other works, which demonstrate the writer's familiarity with the literature and support the validity of their findings.
If 1/6 of the people with AIDS are in their 20s, then 1/6 of 133,758 cases is 133,758 / 6 = 22,293 cases.
These 22,293 people with AIDS in their 20s were probably infected as teenagers, so the answer is 22, 293 cases were probably infected as teenagers.
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Please show me how to work out these math problems. Only the ones with stairs next them please. Thank you.
Composite figures are made up of several different shapes. Calculating the combined areas of the different shapes allows one to compute the area of composite figures.
How to area of composite figures?
1. Identify all of the individual shapes and label them.
2. Calculate the area of each individual shape.
3. Add the areas together to get the total area of the composite figure.
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A two digit number is 3 more than 3 times the sum of its digits. The tens digit is 6 less than the units digit, If t= the tens digit and u = the units digit, which system must be true?
A. t - u=6
10t + u =3t + u - 3
B. t = u - 6
10t + u = 3t + u - 3
C. t - u = 6
10t + u =3( t + u ) - 3
D. t = u - 6
10t + u = 3( t + u ) + 3
Answer:
D.
Step-by-step explanation:
t = tens digit
u = units digit
"A two digit number is 3 more than 3 times the sum of its digits."
10t + u = 3(t + u) + 3
"The tens digit is 6 less than the units digit."
t = u - 6
System of equations:
10t + u = 3(t + u) + 3
t = u - 6
Answer: D.
Ans D
The 2- digit number can be represented as 10t+u.
Given tens digit is 6 less than units digit. So t = u - 6. -----(1)
The number is 3more than 3 times the sum of its digit.
Sum of digits = t+u
So
10t+u = 3+[3(t+u)] ---------(2)
Amanda Is sure she got the highest score on a video game but she’s not sure what the number is please write it down for her using base 10 number she scored 943,261,568
Answer:
You can do this on your own
Step-by-step explanation:
Knowing this, we know that 10 is like 0.0299% of 943M sO do this on your own!
after 25% increase in price the new price is 300.what was the increased price
Answer:
Step-by-step explanation:
187.5
Julie went to the post office and bought both $0.41 stamps and $0.26 postcards for her office's bills. She spent $47.30. The number of stamps was 10 more than twice the number of postcards. How many of each did she buy?
Julie went to the post office to buy 90 stamps and 40 postcards
What is an equation?An equation shows the relationship between numbers and variables in an expression.
Let x represent the number of stamps and y represent the postcards.
Julie went to the post office and bought both $0.41 stamps and $0.26 postcards for her office's bills. She spent $47.30, hence:
0.41x + 0.26y = 47.30 (1)
Also, The number of stamps was 10 more than twice the number of postcards:
x = 10 + 2y
x - 2y = 10 (2)
From both equations:
x = 90, y = 40
90 stamps and 40 postcards were bought
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Evaluate the square root of 9 + 4√5 in the form c + √d
Step-by-step explanation:
Here we are interested in finding the square root of [tex] 9 +4\sqrt5[/tex] . So , we have
[tex]\longrightarrow \sqrt{ 9+4\sqrt5}[/tex]
We can write it as ,
[tex]\longrightarrow \sqrt{ 5 + 4 + 4\sqrt5} [/tex]
This can be again rewritten as ,
[tex]\longrightarrow\sqrt{ (\sqrt5)^2+2^2+ 2(2)(\sqrt5) } [/tex]
Now this in the form of [tex] a^2+b^2+2ab [/tex] form which is the square of [tex] (a+b)[/tex] . So that,
[tex]\longrightarrow \sqrt{ (2+\sqrt5)^2}[/tex]
Simplify the root ,
[tex]\longrightarrow 2 + \sqrt5[/tex]
Hence we got our answer in the form of [tex] c +\sqrt{d}[/tex]
And we are done!
—Rishabh
PLEASE HELP ME PLEASE
Answer:
Step-by-step explanation: the answer would be C because if you have 10 gallons in your car and then use the ten gallons you have 0 gallons left with combines to make 0
Answer: Option C
Step-by-step explanation:
Person below explained it well
Please help! I’m so confused
Answer:
(0,0) 3rd
(1,5) 1st
(6,30) 1st
5 feet: 1 second
Give the explicit formula of the sequence ( 4…7…10…13….16)
Answer:x.....x+3....
Step-by-step explanation:you will take any number x and keep adding 3 to the result to get the given sequence