The value of x if T is the midpoint segment XY is 14.
How to find the mid point of a segment?The midpoint is the middle point of a line segment.
It is equidistant from both endpoints.
The midpoint is halfway between the two end points.
Therefore, the end point of the segment is XY.
The midpoint is T.
Hence,
XY = XT + YT
XT = 3x - 14 = YT
XY = 8x - 56
Let's find the value x.
Therefore,
8x - 56 = 3x - 14 + 3x - 14
8x - 56 = 6x - 28
8x - 6x = -28 + 56
2x = 28
divide both sides by 2
x = 28 / 2
x = 14
Therefore, the value of x is 14
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4x-y=3 in slope intercept form
Answer:
y=4x-3
Step-by-step explanation:
Answer: the slope for y is y=-3+4x
the slope for x is x=[tex]3/4 +y/4[/tex]
Step-by-step explanation:.
Please help! Write without using rational exponents.
[tex](m^3n^5)^\frac{1}{4}[/tex]
Please show all work.
I will give brainliest!!!
The expression without the rational exponents is ⁴√(m^3n^5)
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to rewrite the expression?The expression is given as
(m^3n^5)^1/4
The exponents of the above expression cannot be simplified
This means that, we simply rewrite the expression using the fourth root expression
So, we have
(m^3n^5)^1/4 = ⁴√(m^3n^5)
Hence. the equivalent expression is ⁴√(m^3n^5)
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Order the numbers from least to greatest:
-8/9, 7/8, 1.7, -10/7, 0.3
Answer: -10/7 < -8/9 < 0.3 < 7/8 < 1.7
Step-by-step explanation:
The points on this graph represent a relationship between
x
- and
y
-values. Which statement about the relationship is true?
Since the points on this graph represent a relationship between x- and y-values, the statement which is true about the relationship is that: 4. It cannot be proportional because a straight line through the points does not go through the origin.
What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
In Mathematics, the graph of any proportional relationship is characterized by a straight line with the points passing through the origin (0, 0) because as the values on the x-axis (x-coordinate) increases or decreases, the values on the y-axis (y-coordinate) increases or decreases simultaneously.
In this context, we can reasonably infer and logically deduce that the relationship between x-values and y-values in this graph is not proportional.
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Complete Question:
The points on this graph represent a relationship between x- and y-values. Which statement about the relationship is true?
1. It must be proportional because the points lie on the same line.
2. It must be proportional because each time x increases by 2, y stays the same.
3. It cannot be proportional because the y-values are not whole numbers.
4. It cannot be proportional because a straight line through the points does not go through the origin.
the diagnostic
Solve for n.
n+4≤5
The value of the inequality given as n ≤ 5 - 4 is n ≤ 1.
How to illustrate the information?It should be noted that an inequality is simony used to how the relationship between the expressions that aren't equal.
In this case, it should be noted that the inequality given is expressed as n + 4 ≤ 5. This will be solved accordingly:
n + 4 ≤ 5.
Collect like terms
n ≤ 5 - 4
n ≤ 1.
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1. Write a multiplication expression that you can use
to find 16 ÷ 4/5
Multiplication expression used is 16 ×[tex]\frac{5}{4}[/tex].
What is multiplicative inverse?A number that when multiplied by a number x results in the multiplicative identity, 1, is known as a multiplicative inverse or reciprocal, indicated by 1/x or x1. A fraction a/b has a multiplicative inverse of b/a. Divide 1 by the real number to obtain the multiplicative inverse of the number. When a number is multiplied by its original number, the multiplicative inverse of that number, or x-1, produces a value equal to 1. The multiplicative inverse of 2, for instance, is 2-1 since it fulfils the formula: 2 x 2-1
2 x [tex]\frac{1}{2}[/tex]= 1. It is also known as a number's reciprocal.
Given Data
16 ÷ [tex]\frac{4}{5}[/tex]
Reciprocating,
16 × [tex]\frac{5}{4}[/tex]
Simplifying,
4(5)
20
Multiplication expression used is 16 ×[tex]\frac{5}{4}[/tex]
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Find the slope and the y-Intercept of the line.
y=2x-9
How many tiles measuring 20cm by 50cm are needed to completely cover a wall 4m by 8m?
320 Tiles of measuring 20cm*50cm will be needed to cover a wall 4m by 8m.
Let to cover the wall of dimension 4m * 8m completely with the tiles we need x number of tiles of size 20cm * 50 cm.
The area of wall must be that of total areas covered by tiles.
So,
Area of 1 Tile = 20cm * 50 cm = 1000sq. cm
Total Area of Tiles needed = 1000x sq.cm
Total Area of wall = 4m * 8m = 400 * 800 = 320000 sq. cm
So, We know that
Total Area of wall = Area of 1 Tile * x
320000 = 1000x
x = 320
Therefore, we can conclude that we will need 320 tiles to cover a wall of area 32sq. metres completely.
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Chris and jeff sold 15.5 pounds of trail mix. they sold trail mix for 3.98 per pound. how much money did they collect explain?
P.s please help!
Answer: $61.69
Step-by-step explanation: Since is say "per pound", it means for each 1 singular item/weight/etc. So for Each pound, you gain 3.98 dollars. Multiply 15.5 and 3.98 to get 61.69.
Evaluate the expression when r is -7 and s is 2.
rs^3
When r is -7 and s is 2, rs^3 is [ ]
(Simplify your answer)
Answer:
-56
Step-by-step explanation:
Given that,
r => -7
s => 2
To solve this given expression, replace r & s with -7 & 2 respectively.
Let us solve it now.
[tex] \sf \: r {s}^{3} \\ \sf - 7 \times {2}^{3} \\ \sf- 7 \times 8 \\ - 56[/tex]
C is in the interior of LABD. m/ABC=
(2x+12)°, m/CBD = (3x + 10)°, and
m/ABD = 72°. Find m/ABC.
Answer:
32°
Step-by-step explanation:
Using the angle addition postulate,
[tex]3x+10+2x+12=72 \\ \\ 5x+22=72 \\ \\ 5x=50 \\ \\ x=10 \\ \\ \implies m\angle ABC=2(10)+12=32^{\circ}[/tex]
Vector v = <3, 1>. Describe how you would use a graphical method to add vector v to vector u (shown in the graph below). Then, write the resultant vector in component form.
The component form of the resulting vector is <5, -4>
Vector:
Vector means the objects which have both, magnitude and direction. Magnitude defines the size of the vector. It is represented by a line with an arrow, where the length of the line is the magnitude of the vector and the arrow shows the direction.
Given,
Vector v = <3, 1>.
Here we need to find the value of u through the given graph and we have to perform the addition operation in order to find the component form of the resulting vector.
Here we have the value of vector v = <3,1>
While observing the graph we have identified as the value of vector u is,
x value = 2
y value = -5
So, the component from of vector u = <2, -5>
Now the addition of u + v is equal to,
=> u + v
=> <3,1> + <2, -5>
=> < (3 + 2) , (1 + (-5))>
=> < 5, -4>
Therefore, the component form of the resulting vector is <5, -4>.
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Answer:
Draw vector v in standard position. To add v to u, shift v 2 units to the right and 5 units down so its initial point coincides with the terminal point of u. Use a dotted line to depict the shifted vector v.
Now there are three sides of a parallelogram. To complete the parallelogram, draw a dotted line from the tip of vector v in the standard position to the tip of the shifted vector v.
Finally, draw the vector represented by the diagonal of the parallelogram with its initial point at the origin. The resultant vector, u + v, is this diagonal of the parallelogram in which the two vectors, u and v, are adjacent sides. The components of u + v are <5, -4>.
Step-by-step explanation:
Plato/Edmentum
Mell is twice as old as jerrey. if you subtract 16 from mells age, and 16 is added to jerreys age, their ages will be equal. what are their present ages
Answer: 32 year
Step-by-step explanation:
Let Jerrey age is 'y' year
Mell age = 2y
Now,
2y – 16 = y + 16
y = 32
∴ Mells age = 64 year
& Jerrey age = 32 year
Select all ratios equivalent to 1:3.
7:21
Submit
6:18
2:9
Lucy used 3 3/4 cups of sugar for her lemonade stand. She divided the
sugar, in equal amounts, into 6 pitchers. How much sugar went into each
pitcher?
Answer:
[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
3 [tex]\frac{3}{4}[/tex] ÷ 6 Change 3 [tex]\frac{3}{4}[/tex] into an improper fraction
Another name for 1 is [tex]\frac{4}{4}[/tex] so another name for 3 is [tex]\frac{4}{4}[/tex] + [tex]\frac{4}{4}[/tex] + [tex]\frac{4}{4}[/tex] or [tex]\frac{12}{4}[/tex]
[tex]\frac{12}{4}[/tex] + [tex]\frac{3}{4}[/tex] = [tex]\frac{15}{4}[/tex] So we now have
[tex]\frac{15}{4}[/tex] ÷ 6 or
[tex]\frac{15}{4}[/tex] ÷ [tex]\frac{6}{1}[/tex] If I use the common denominator of 4, I can divide straight across.
[tex]\frac{15}{4}[/tex] ÷[tex]\frac{24}{4}[/tex] Now divide across and we get
[tex]\frac{\frac{15}{24} }{\frac{4}{4} }[/tex] = [tex]\frac{\frac{15}{24} }{1}[/tex]= [tex]\frac{15}{24}[/tex] Divide the top and bottom by 3 to simplify to [tex]\frac{5}{8}[/tex]
This is not the most traditional way to solve, but I think it is more intuitive.
0. Michael works in a supermarket. He is paid $10.80 per hour. How much will he earn if he works a 37 hour week?
Answer:
Michael will earn $399.60 for a 37-hour week.
Step-by-step explanation:
[tex]10.80 \times 37 = 399.60[/tex]
okay so this question is very easy you just supposed to multiple the paid per hour amount with the hours per week.
Data
paid per hour $10.80
find how much for 37 hours
Solution
37 * 10.80
=$399.6
Is this a linear equation if so please explain!
The equation f(-4) = (x - 2)/2 has a constant slope; so it is linear
What are linear equations?As a general rule, these are equations with constant rate of change.
How to determine the equation type?The equation is given as
f(-4) = (x - 2)/2
Rewrite as
f(x) = (x - 2)/2
Simplify
f(x) = x/2 - 2/2
Divide
f(x) = x/2 - 1
A linear equation is represented as
f(x) = mx + c
Where m represents the slope and c represents the intercept
This means that
m = 1/2
c = -1
Hence, the equation is a linear equation
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in 1980 the population of mexico was about 67.38 million. for the years 1980 through 1985, the population grew at a rate of about 2.6% per year. (a) find a formula for an exponential function that gives the population of mexico. (let n be the population in millions and t be the number of year since 1980.) n(t)
∀Answer: keed
Step-by-step explanation: L trash
Last week, Ellen bought 4 apples for $2.40. This week she bought 9 apples for $5.40. If the cost per apple remains the same, how many apples could she buy next week? Select two that apply.
A.
1 apple for $1.20
B.
3 apples for $1.80
C.
6 apples for $3.40
D.
10 apples for $6.00
E.
13 apples for $8.20
F.
14 apples for $9.00
Answer:
B & D
Step-by-step explanation:
If it’s 60 cents per apple, you will be able to buy 3 apples for $1.80, and 10 apples for $6.00.
0.60 x 3 = 1.80
0.60 x 10 = 6
Hope this helps! <3
A math quiz has 3 multiple choice questions and 2 true/false questions. Each multiple choice questions has 4 answer options: A, B, C, D. Find the number of possible outcomes.
The total number of possible outcomes for the math quiz is 16
How to solve for the number of possible outcomes3 multiple choice questions and each has 4 options. The total number of options here is
= number of question * number of options
= 4 * 3
= 12
2 true/false questions. The total number of options here is
= number of question * number of options
= 2 * 2
= 4
The number of possible outcomes
= outcome from the multiple choice question + outcome from the true/false question
= 12 + 4
= 16
Therefore the total number of outcomes from the quiz in this question is is 16
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use the second derivative test for concavity and the phase line to produce a phase portrait and sketch one typical solution curves in each region determined by the equilibrium solutions
if the second derivative is negative, then the first derivative is decreasing, Graphically, we see this as the curve. of the graph being concave down, that is, shaped like a parabola open downward.
The second derivative tells whether the curve is concave up or concave down at that point. If the second derivative is positive at a point, the graph is bending upwards at that point. Similarly if the second derivative is negative, the graph is concave down.
When second derivative is positive concavity?
If the second derivative is positive at a point, the graph is concave up at that point. If the second derivative is positive at a critical point, then the critical point is a local minimum. If the second derivative is negative at a point, the graph is concave down.
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Using the graph , find g (0) and find x such that g (x) =-1
In order to find g(0), we just need to find the value of the function for x = 0.
Looking at the graph, for x = 0 we have y = 7.
Therefore g(0) = 7.
To find the value of x for g(x) = -1, let's look for the value of x where y = -1.
Looking at the graph, for y = -1, we have x = -2.
Therefore g(x) = -1 for x = -2.
Write a paragraph proof to prove that if P, Q, R, and S are collinear, PQRS, and O is the midpoint of PR, then R is the midpoint
of QS.
Because PQ RS and congruent segments have ___ lengths, PQ = ___ Because Q is the midpoint of PR, ___ so R is the midpoint of QS. PQ ___ By the Select Choice Property of Equality. QR
The Addition of AnglesABD + DBC = ABC, according to the postulate formula, if D is within of ABC.The formula is applicable to adjacent angles' angle measurements.The greater angle that the two adjacent angles combine to generate will equal the total of the two adjacent angles.
Write a paragraph proof to prove that if P, Q, R, and S are collinear, PQRS, and O is the midpoint of PR, then R is the midpointof QS.
demonstrating PR = QS
Given: Q is PR's halfway point.
A segment's midpoint:
PQ = QR
Given: QS's midpoint is R.
A segment's midpoint:
PQ = QR
The equality's addition property is: QR + RS = PQ + QR.
Consequently, PR = QS.
The seven seven-statement proof below provides evidence that "PQO" and "RSO" are true.
I have provided the triangles image since it is missing.
The following is a step-by-step statement proof that "PQO" and "RSO" are true:
First statement; P R
the first; given
2. O is the midway of PR and QS
second; provided
Indicator 3; PO OR ; QO OS
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Mrs. Dundee wants to sell the rights to her cajun cookbook. One publisher offered to pay $80,000 and a $3 royalty for every book sold. Publisher two offered to pay $30,000 and $5 for every book sold. Over what ranges of sales will Mrs. Dundee make more from the second publisher than from the first?
The range of sales for the given condition is (25000, +∞), Hence Mrs. Dundee makes more from the second publisher than the first.
As per the question statement, Mrs. Dundee wants to sell the rights to her Cajun cookbook so one publisher offered to pay $80,000 and a $3 royalty for every book sold and publisher two offered to pay $30,000 and $5 for every book sold.
We are supposed to find the range of sales for the given conditions.
Let's suppose Mrs. Dundee sold "x" books
30,000 + 5x > 80,000 + 3x
2x > 50,000
x > 25,000
So, the range of sales for the given condition is (25000, +∞), Hence Mrs. Dundee makes more from the second publisher than the first.
Range: When a function is applied to its whole set of outputs, its range is the set of outputs it produces.To learn more about range and functions, click on the link given below:
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The annualized interest on Jill’s two investments amounted to 1560. The savings account earned 3% And the cd earned 5% interest. If the amount she deposited in the savings was twice the amount of her deposit in the cd, how much did she deposit into each account
Based on the annualized interest from the investments that Jill went into, the amount deposited in savings was $28,363.64 and the amount in the cd was $14,181.82.
How find the amount deposited?Assuming that the amount invested in the cd was x, then the amount invested can be modeled as:
= 5%x
= 0.05x
The amount invested in savings was:
= 2 x 3% x
= 2 x 0.03x
= 0.06x
The amount invested in cd was:
0.06x + 0.05x = 1,560
0.11x = 1,560
x = 1,560 / 0.11
x = $14,181.82
The amount in the savings was:
= 14,181.82 x 2
= $28,363.64
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y = {(2, 6), (3, 1, 4), (1), (5, 6)} Is y a function and why? No, there is a limited number of ordered pairs in this list. Yes, there is more than one ordered pair in this list. Yes, no two ordered pairs in this list has the same second element. No, the elements of the set of y are not all ordered pairs.
The reason with respect to this function is: D. No, the elements of the set of y are not all ordered pairs.
What is a function?A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for uniquely mapping an input variable to an output variable.
Based on the ordered pairs shown above, we can reasonably infer and logically deduce that these ordered pairs does not represent a function because the elements of the set of "y" aren't all ordered pairs i.e (3, 1, 4).
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Sofia and Zara join a queue to get tickets for the school disco. There are 51 people in front of them. What are Sofia and Zara's positions in the queue?
The position of Zara and Sofia will be 52nd and 53rd.
According to the question, the persons standing in front of Sofia and Zara are 51. After 51 people, Sofia and Zara came and stood in line due to which they will be counted as the next persons.
The individual position of Zara and Sofia can't be determined as it is not given that between Zara and Sofia who came earlier.
This question is related to order and ranking. It means the process of knowing the position of a person, a thing, or a place in comparison to the position of other persons, or things.
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Myra is taking her first hot-air balloon ride! The balloon was at an altitude of 288 meters until an air current caused it to rise another 36 meters.
What is the altitude of the balloon now?
The altitude of the balloon now is 324 meters.
Altitude , height, or depth are terms used to describe the measurement between a reference datum and a location or item, usually in the vertical or "up" direction.
There are various definitions and reference points used depending on the circumstance (e.g., aviation, geometry, geographical survey, sport, or atmospheric pressure). The term "elevation" or altitude is commonly favored in the context of geography, despite the fact that the term "altitude" is regularly used to refer to a location's height above sea level.Vertical distance measurements conducted in the "down" direction are frequently referred to as "depth" and the vertical distance in the up direction is altitude.The height of the balloon is 288 meters.
The balloon rises by 36 meters.
The altitude of the balloon now = 288 + 36 = 324 meters
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Montraie bought snacks for his team's practice. He bought a bag of popcorn for $2.45
and a 18-pack of juice bottles. The total cost before tax was $29.99. How much was
each bottle of juice?
Taxes can be paid in cash or labor and can be either direct or indirect.
Cost of juice bottle is $27.54.
What is tax?Tax compliance refers to policy actions and individual behavior aimed at ensuring that taxpayers are paying the right amount of tax at the right time and securing the correct tax allowances and tax reliefs. A tax is a mandatory financial charge or some other type of the levy imposed on a taxpayer (an individual or legal entity) by a governmental organization in order to fund government spending and the various public expenditures (regional, local, or national). Around 3000–2800 BC, the first recorded taxation was enacted in ancient Egypt. Non-compliance with the law includes failing to pay on time as well as evading or resisting taxation. Taxes can be paid in cash or labor and can be either direct or indirect.
Most nations have a tax system in place to finance public, shared, or agreed-upon national necessities as well as governmental duties. While some scale taxes are progressive based on brackets of annual income amounts, most impose a flat percentage rate of taxation on personal annual income. The majority of nations impose taxes on both personal and business income. The Wealth taxes, inheritance taxes, estate taxes, gift taxes, property taxes, sales taxes, usage taxes, payroll taxes, fees, and/or tariffs are frequently levied by nations or subunits.
A bag of popcorn = $2.45
Juice bottles =18
Total cost = $29.99
Cost of juice bottle = $29.99-$2.45= $27.54
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Can Someone please help!!
1) The slope of line that goes through the points (12, 13) and (-8, 8) is; 5/28
2) Using the point (12, 13) and the slope 5/28, the equation of the line is;
y - 13 = (5/28)(x - 12)
3) The equation of the line in slope intercept form is; y = (5/28)x - 76/7
Write the equation of the Line in slope intercept form?We are told that a line goes through the points; (12, 13) and (-8, 8)
1) The slope is gotten from the formula;
m = (y2 - y1)/(x2 - x1)
m = (8 - 13)/(-8 - 20)
m = -5/-28
m = 5/28
2) Using the point (12, 13) and the slope 5/28, the equation of the line is;
y - 13 = (5/28)(x - 12)
3) Expanding the equation in answer 2 above, we have;
y - 13 = (5/28)x - (60/28)
y - 13 = (5/28)x - 15/7
y = (5/28)x - 15/7 + 13
y = (5/28)x - 76/7
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