Answer:
I believe it's 960
Step-by-step explanation:
Rect. Prism volume = 12 * 10 * 7 = 840
Pyramid = (12 * 10 * 3) / 3 = 120
Total = 840 + 120 = 960
A pilot was scheduled to depart at 4:00 p.m., but due to air traffic, her departure has been delayed by 16 minutes. air traffic control approved a new flight plan that will allow her to arrive four times faster than she calculated in her original flight plan. let x represent the time, in minutes, of her original flight. create an equation that can be used to predict the number of minutes after 4:00 p.m. she will arrive at her destination.
a. y equals one fourth times x minus 16
b. y = 4x − 16
c. y equals one fourth times x plus 16
d. y = 4x 16
The equation that can be used to calculate how many minutes after 4:00 p.m. she will arrive at her location is y = 4x - 16.
The correct equation is:
y = 4x - 16
This equation represents the number of minutes after 4:00 p.m. the pilot will arrive at her destination. The variable x represents the time, in minutes, of her original flight, and y represents the number of minutes after 4:00 p.m. she will arrive at her destination. The expression "4x" represents the time the pilot will arrive at her destination if she had traveled at her original speed, and the "-16" represents the delay caused by air traffic.
To solve this equation, you would substitute the value of x into the equation and solve for y. For example, if the pilot's original flight time was 60 minutes, the equation would be:
y = 4(60) - 16
= 240 - 16
= 224
This means that the pilot will arrive 224 minutes after 4:00 p.m., or at 6:24 p.m.
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R, S, T and U are points on the circumference of a circle, centre O.
The angle RUS is 46° and the angle URT is 36°
R
36%
46°
U
Calculate the angle RTS.
(1 mark)
T
The angle RST of the arc will be equal to 46°.
What is an arc of the circle?A circle's arc is defined as a portion or segment of its circumference. A chord of a circle is a straight line that can be drawn by connecting the two ends of an arc. A semicircular arc is one whose length is exactly half that of a circle.
Given that the angle RUS is 46 and the angle URT is 36.
The angle RST has the same arc that is made by the angle RUS. From that theorem, we can conclude that the angle RUS will be equal to the angle RST.
∠RUS = ∠RST
∠RST = 46°
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[tex](4x + 8) = ...........(x + ............)[/tex]
Some one help me please
Answer:
( 4x + 8) = 4 (x + 2)
Step-by-step explanation:
We have to factor out the GCF
We see that ( 4x+8) have the GCF is 4, so 4 will go outside, and we have left x + 2
So the answer is
(4x+8) = 4 ( x +2)
How do you prove AAS congruence rule?
AAS (Angle-Angle-Side): If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent. Hence proved
AAS (Angle-Angle-Side):
Suppose we have two triangles from figure ABC and DEF, where,
∠B = ∠E [Corresponding angles] ∠C = ∠F [Corresponding angles] And
AC = DF [Adjacent sides]
By angle sum property of triangle, we know that;
∠A + ∠B + ∠C = 180 ………(1)
∠D + ∠E + ∠F = 180 ……….(2)
From equation 1 and 2 we can say;
∠A + ∠B + ∠C = ∠D + ∠E + ∠F
∠A + ∠E + ∠F = ∠D + ∠E + ∠F [Since, ∠B = ∠E and ∠C = ∠F] ∠A = ∠D
Hence, in triangle ABC and DEF,
∠A = ∠D
AC = DF
∠C = ∠F
Hence, by ASA congruency,
Δ ABC ≅ Δ DEF
So AAS (Angle-Angle-Side) congruence rule is hence proved.
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Why is IT important to integrate information?
Data integration combines data collected from various platforms to increase its value for your company. It enables your staff to collaborate more effectively and provide more for your clients.So IT is important to integrate information.
The combining of data from diverse sources with various conceptual, contextual, and typographic representations is known as information integration. It is utilised for data aggregation and mining from unstructured or partially organised sources. You may connect all of your data, people, and processes in a single solution by using an integrated solution. Today's top HSEQ management teams regard this strategy as best practise. The justification for this is straightforward: it improves reporting, efficiency, uniformity, speed, and ease of use. An integrated report's main goal is to describe to financial capital providers how a company builds, protects, or loses value over time. As a result, it includes pertinent information, both financial and otherwise.
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What characteristics change during rigid transformations?
During rigid transformations, the shape, size, and orientation of an object remain the same, while its position in space changes. This means that the distance between any two points on the object remains constant, as does the angle between any two lines. Additionally, the orientation of the object's axes (length, width, and height) remain the same.
What are transformations, exactly?Transformations are a general term for four different methods of changing the location and/or shape of a point, line, or geometric figure. The shape of the object is revealed in its pre-image, while its final form and position are revealed in the image following transformation.
What is a good example of transformation?A transformation is characterized by a significant alteration in appearance or form. Your life may change as a result of a significant event, such earning your driver's license, beginning college, or getting married. A significant, abrupt transformation is called a metamorphosis.
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How do you find the vertical asymptote and removable discontinuity?
To find the vertical asymptote, look for the values of x where the denominator of a function equals 0. To find the removable discontinuity, look for the values of x where the numerator of a function equals 0.
Vertical asymptotes are x-values where the denominator of a fraction is equal to 0. To find the vertical asymptote, we need to set the denominator equal to 0 and solve for x. This will give us the x-values where the graph of the function has a vertical asymptote. Removable discontinuities are x-values where the numerator of a fraction is equal to 0. To find the removable discontinuity, we need to set the numerator equal to 0 and solve for x. This will give us the x-values where the graph of the function has a removable discontinuity. In both cases, once we have the x-values, we can plot the graph of the function and see where the vertical asymptote and removable discontinuity are located. We can also use these x-values to determine the behavior of the function in the vicinity of the vertical asymptote or removable discontinuity.
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Simplify the fraction in it lowest terms
44/60
Answer:
11/15
Step-by-step explanation:
Answer:
Step-by-step explanation:
44/60=22/30=11/15
11/15
a local school board wants to determine if the proportion of households in the district that would support starting the school year a week earlier has changed from the previous year. last year, the school board determined that 65% of households supported starting school earlier. they ask a random sample of 100 households this year, and 70% state they would support starting the school year earlier. which hypotheses would determine if the proportion of households that support starting school earlier has changed this year? h 0: p
The hypotheses that would determine if the proportion of households that support starting school earlier has changed this year is C. H 0: p = 0.65, H alpha: p greater-than 0.65.
What is a null hypothesis?A statistical hypothesis known as a null hypothesis asserts that no statistical significance can be found in a given set of observations.
It is tested to see if there has been no change at the null hypothesis, which means that the proportion is still 0.65 = 65%.
It is tested whether there has been a change at the alternative hypotheses, that is, whether the proportion is no longer 0.65 = 65%.
Therefore, the correct option is C.
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Complete options
Group of answer choices
H 0: p not-equals 0.70, H alpha: p = 0.70
H 0: p = 0.70, H alpha: p not-equals 0.70
H 0: p = 0.65, H alpha: p greater-than 0.65
H 0: p = 0.65, H alpha: p not-equals 0.65
Please help AFSP!!!
15 points
I need this by tmrw please
Answer:
Bias from using a convenience sample (C)
Step-by-step explanation:
This sampling method is an example of taking a convenience sample because the mobile phone service provider is only taking samples from the people that responded. The availability of certain people causes a bias in the data drawn from this sampling method.
What is the factored form of this expression 6x2 5x − 6 )(?
The factored form of the expression 6x² - 5x - 6 is (3x + 2)(2x - 3) .
The Factored form of quadratic equations means expressing the polynomial as a product of its linear factors. This process allows to simplify quadratic expressions, find their roots and solve further .
The expression is given ; 6x² - 5x - 6 .
= 6x² - 9x + 4x - 6 ,....by using split the middle term method ;
= 3x(2x - 3) +2(2x - 3) ;
= (3x + 2)(2x - 3)
Therefore , the factored form is (3x + 2)(2x - 3) .
The given question is incomplete , the complete question is
What is the factored form of this expression 6x² - 5x - 6 ?
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Is f/x )= 3x² a function?
Answer:
yes.
Step-by-step explanation:
The definition of a function: "A function is defined as a relation between a set of inputs having one output each."
This means each x can only have 1 y value. You can check if this is a function using the vertical line test. To do the vertical line test draw vertical lines through the graph of the expression. If you even hit 2 points with a vertical line it is NOT as function.
The graph is of an upward facing parabola so it will be a function. We can graph and check this with the VLT which it passes.
How many terms are there in the expression 5xy +9yz 3zx+ 5x 4y?
Answer:
5
Step-by-step explanation:
there are five terms: 5xy, 9yz, 3zx, 5x, and 4y.
In mathematics, a term is a part of an expression that is separated by a plus or minus sign. In this expression, the terms are 5xy, 9yz, 3zx, 5x, and 4y. Note that the equation in the question is formatted a little awkwardly, so make sure to count how many terms you see yourself too!
Can you justify that all sides and all angles are equal in a equilateral triangle?
If the given triangle has all three sides as congruent and the angles are same then the triangle is an equilateral triangle.
We will use the figure given below to prove the triangle as an equilateral triangle.
In the above figure,
Given, vertices of a triangle are A(X1, Y1), B(X2, Y2), and C(X3, Y3).
According to the properties of the equilateral triangle, the sides of an equilateral triangle should be equal in measure.
So, we use the distance formula:
d = √((x2 - x1)^2+(y2 - y1)^2 to verify if all three sides are congruent and equal to each other
If AB = BC = CA.
⇒ √((x(2) - x(1))^2 + (y(2) - y(1))^2) = √(x(3) - x(2))^2 + (y(3) - y(2))^2 = √(x(1) - x(3))^2+ (y(1) - y(3)) ^2
If the given triangle satisfies the above condition then the triangle is an equilateral triangle.
If the given triangle has all three sides as congruent then the triangles angles are also equal.
Hence, if the given triangle has all three sides as congruent and the angles are same then the triangle is an equilateral triangle.
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If you are a male student, what qualities should you look for in a future wife, according to proverbs 31? if you are a female student, what qualities should you strive to display as a godly woman, according to proverbs 31? (your total response should be between 50-100 words. ).
According to Proverbs 31, She should look for a man after God's heart a man who fears the Lord and has his life fixated on the principles of the Lord. A man with a godly wisdom. A man whose belief is in the Lord.
According to Proverbs 31, He should look for a lady of noble character, who nurtures and provides for her family, who brings pride to her man as she works graciously with her hands and knows the ways to provide for her family even during hard times, and mostly the women who fear the Lord. A woman of value and virtue in the Lord.
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She should seek for a man who has the heart of God, one who reveres the Lord and bases his actions on the rules of the Lord, according to Proverbs 31. a wise man who comes from God. a person who trusts in the Lord.
According to Proverbs 31, He should look for a woman of noble character, who nurtures and provides for her family, who offers honor to her spouse as she works chastely with her hands and knows the ways to care for her family even through hard times, and most of all the ladies who fear the Lord. a lady of worth and virtue before the Lord.
someone please help, need to finish before finals.
Answer:
Step-by-step explanation:
3. collinear = on the same line. Answer: C
4. A
5. If two lines intersect, they intersect at a point. Answer: Point C
6. B
7. AB + BC = AC
AB + 9 = 22
AB = 13
8. EF + FG = EG
2 + 3 = EG
EG = 5
9. m<MNP + m<PNO = m<MNO
20 + m<PNO = 85
m<PNO = 65
10. m<GHK + m<KHJ = m<GHJ
90 + 31 = m<GHJ
m<GHJ = 121
11. AM = MB = 10
AM = 10
12. EM = MF = (1/2)EF = 14
MF = 14
13. GM + MH = GH
GM = MH = 3.4
3.4 + 3.4 = GH
GH = 6.8
14. m<CAB = m<BAD = (1/2)m<CAD
m<CAD = 40; (1/2)m<CAD = 20
x = m<BAD = 20
15. m<CAB = m<BAD
2y + 25 = 3y
25 = y
y = 25
Total Monthly Cost ($)
Kyle's Monthly Website Costs
y
160
140
120
100
80
60
40
20
0
2 4 6 8 10 12 14 16
Number of Hours of Video Stored
Which equation shows the relationship between the
number of hours of video Kyle has stored on the
website and his total monthly cost in dollars?
y=10x +4
y = 4x+10
y-10x+0.25
Y=0.25x+10
Answer:
[tex]y=4x+10[/tex]
Step-by-step explanation:
Using the points [tex](8,40)[/tex] and [tex](0,10)[/tex],
[tex]m=\frac{40-10}{8-0}=4.5 \\ \\ \therefore y=4.5x+10[/tex]
This matches most closely with the second option.
What are the 3 types of discontinuity?
The three types of discontinuity are listed as follows:
Jump Discontinuity.
Infinite Discontinuity.
Removable Discontinuity.
The term discontinuity is referred as if a function is referred to as the point at which a Mathematical object is discontinuous.
The function will be discontinues if they meet the following conditions,
If the function is not defined at the given point.Where as if the function has no limit at the given point.Otherwise if the function is defined and it has a limit at that point.There are 3 type of discontinuity in math and they are listed as jump, infinite and removable.
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In ΔQRS, s = 5.2 inches, ∠S=129° and ∠Q=30°. Find the length of r, to the nearest 10th of an inch.
The length of r is 2.4 inches.
What is the law of sines ?
The law of sines specifies how many sides there are in a triangle and how their individual sine angles are equal. The sine law, sine rule, and sine formula are additional names for the sine law.
Given, In ΔQRS, s = 5.2 inches, ∠S=129° and ∠Q=30°
We know that, The sum of all angles of a triangle is 180°.
So, ∠Q + ∠R + ∠S = 180°
∠R = 180° - 129° - 30°
= 21°
Now, We also know that the law of sines specifies how many sides there are in a triangle and how their individual sine angles are equal.
So, q/Sin Q = r/Sin R = s/Sin S
Or, we can say
r/Sin R = s/Sin S
r/Sin 21° = s/Sin129°
r/Sin 21° = 5.2 / Sin 129°
r = 5.2 × Sin 21°/Sin 129°
= 5.2 × 0.46
= 2.4 inches.
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What is a bar line mean?
Bar line is a notation used in place of repeating numbers. It is also graphical representation used in graphs.
Bar line is a simple notation used to express a repeating number by placing a line over the number that repeats. when numbers go on forever and when not to use bar notation.
Bar line is also used in graphs. A bar line in the graph is a graphical representation based on the different parameters. They are drawn in cases when the items are compared based on the multiple parameters or observations.
There is another bar line called the vertical bar ( | ) also called the vertical line, vertical slash or upright slash is a symbol used in mathematics, computing and other areas to represent a specific type of logic or operation, depending on its context. Even within a single area such as computing, the vertical bar is applied in multiple ways.
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What is meant by continuity of a function explain with an example?
Continuity of a function is when the function is continuous over the range of its domain. An example is a function f(x) = x^2, which is continuous over its domain of x∈R.
Continuity of a function is when the function is continuous over the range of its domain. A function is continuous if the graph of the function is a single, connected curve with no breaks or gaps. This means that for any point on the curve, the function is non-discontinuous. An example of a continuous function is f(x) = x^2, which is continuous over its domain of x∈R. This means that, no matter what value is put into the function, the output will always be a single value and the graph of the function will be a single, connected line. This is because the function is continuous over its entire domain, and therefore there are no breaks or discontinuities in the function. This is an example of continuity of a function.
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−10x−56=4 Solution: x =
Answer:
Step-by-step explanation:
x= -6
Which transformations do not result in mapping $(-k,\ k)$ to $(k,\ -k)$ ?
Responses
Reflection in the line $y=x$
Reflection in the line y is equal to x
Reflection in the line y=-x
Reflection in the line y is equal to negative x
Reflection in the y -axis, followed by a reflection in the x-axis
Reflection in the y-axis, followed by a reflection in the x-axis
Translation k units right, followed by a reflection in the y -axis
The transformation of the (-k, k) about the line y = x will be (k, -k). Then the correct option is A.
What is a reflection of the point?It is the image of the point which is located in the opposite direction of a given point.
The rule of the refection will be given as,
Firstly, the rule for reflecting a point about the line y = x is;
While reflecting on the line y = x, we get the reflected points by swapping the coordinates.
Now, the rule for reflecting a point about the line y = -x is;
While reflecting on the line y = -x, we get the reflected points by multiplying '-1' with the swapped coordinates.
The change of the (- k, k) about the line y = x will be (k, - k). Then the right choice is A.
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in a class of 240 students at a certain school learn mathematics or English or both.150 learn mathematics and 120 learn English. A.how many students like both subjects. B.find the number of students like mathematics only. C.how many students learn English only.
Answer:
a- 30
b- 90
Step-by-step explanation:
150 learn math
120 learn english
150+120 is 270
270 - 240 = 30
so 30 students learn both.
120 - 30 = 90
so 90 learn english only
get it?
When the digits of a two digit numbers are reversed number obtained is 9?
Consequently, the original number is 27 and the reversal is 72.
What are numbers?A number is a numerical unit of measurement and labeling in mathematics.
The natural numbers 1, 2, 3, 4, and so on are the first examples.
Number words are a linguistic way to express numbers.
So, let the ones and tens places' digits be y and x, respectively.
initial value = 10x+y
number in reverse = 10y plus x
In response to the query:
3(10x+y)-9 = 10y+x
30x+3y-9-10y-x= 0
29x-7y-9 = 0 ...(1)
Since the reversed number is greater:
10y+x-(10x+y)=45
10y-y-10x+x-45 = 0
9y-9x-45=0
y-x-5=0
y= x+5 ...(2)
Place equation (2) into equation (1) immediately:
29x-7(x+5)-9=0
29x-7x-35-9=0
22x=44
x = 2
Now enter x=2 into equation (2):
y= 2+5= 7
Therefore, consequently, the original number is 27 and the reversal is 72.
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Correct question:
On reversing the digits of a two-digit number obtained is 9 less than three times the original number. If the difference between these two numbers is 45 find the original number.
What is population function?
The term "population regulation" refers to biological mechanisms that balance off disruptive occurrences, such as weather changes, alterations in the environment, the occurrence of disease epidemics, etc.
What role does population growth play?A straightforward equation that depicts population growth is as follows: Expression of Population Changes as a Percentage: Change in Population Size = (Births + Immigration) - (Deaths + Emigration). Let's say we had a population of 100,000 people.
The relative size of two functions' values for big values of the independent variable is what is meant when a term like "function growth" is used.
The term "population regulation" refers to biological mechanisms that balance off disruptive occurrences, such as weather changes, alterations in the environment, the occurrence of disease epidemics, etc.
What role does population growth play?A straightforward equation that depicts population growth is as follows: Expression of Population Changes as a Percentage: Change in Population Size = (Births + Immigration) - (Deaths + Emigration). Let's say we had a population of 100,000 people.
The relative size of two functions' values for big values of the independent variable is what is meant when a term like "function growth" is used.
The term "population regulation" refers to biological mechanisms that balance off disruptive occurrences, such as weather changes, alterations in the environment, the occurrence of disease epidemics, etc.
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find the distance between the points R(a+b,a-b) and S(a-b,a+b)
Answer:
The distance between the points R(a+b,a-b) and S(a-b,a+b) is 2*sqrt(2)*sqrt(a^2+b^2).
Step-by-step explanation:
To find the distance between the two points, we can use the distance formula:
distance = sqrt((x2-x1)^2 + (y2-y1)^2)
Plugging in the coordinates of the two points, we get:
distance = sqrt((a-b-a-b)^2 + (a+b-a+b)^2)
Simplifying, we get:
distance = sqrt(2*(a^2 + b^2))
Multiplying both sides by sqrt(2) gives us:
distance = 2*sqrt(2)*sqrt(a^2+b^2)
Therefore, the distance between the points R(a+b,a-b) and S(a-b,a+b) is 2*sqrt(2)*sqrt(a^2+b^2).
Find the distance between the two points rounding to the nearest tenth (if necessary). (0,1) and (6,−7)
The distance between the two points (0,1) and (6,−7) is 10.
What is distance?Distance can be defined as the length between two points.
To calculate the distance between the two points, we use the formula below.
Formula:
d = √[(x₂-x₁)²+(y₂-y₁)²].................. Equation 1Where:
d = Distance between the two points.From the question,
Given:
x₂ = 6x = 0y₂ = -7y₁ = 1Susbtitute these values into equation 1
d = √[(6-0)²+(-7-1)²]d = √(36+64)d = √100d = 10Hence, the distance between the two points is 10.
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Tess wants to make throw pillows for her couch.she has 6 yards of fabric.each pillow uses 2 over 3 of a yards of fabric.How many pillows can she make?
Tess can make 9 throw pillows from the 6 yards of fabric.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Tess wants to make throw pillows for her couch. she has 6 yards of fabric. each pillow uses 2 over 3 yards of fabric.
The number of pillows will be calculated as,
Number of pillows = 6 ÷ ( 2 / 3 )
Number of pillows = ( 6 x 3 ) / 2
Number of pillows = 9
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What is SSS SAS AAS RHS?
SSS, SAS, AAS, and RHS are the similarity theories that are used to prove that two triangles are similar.
RHS: In two right-angled triangles, if the length of the hypotenuse and one side of one triangle, is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are congruent
SSS: In side side side postulate if all three sides of a triangle is equal to the respective three sides of the other triangle then we will use SSS postulate.
SAS: In side angle side postulate if two sides and one angle of a triangle is equal to the respective two sides and angle then we will use the SAS postulate.
AAS: In angle angle side postulate if two angle and one side of a triangle is equal to the other two angle and side of an another triangle respectively then we will use AAS postulate.
SSS,SAS,AAS,RHS are the similarity postulates that are use to prove two triangle is similar.
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