Answer:
-52
Step-by-step explanation:
fill in the x and y values and multiple it and then combine it
Write an equation of the line in point-slope form through each pair of points. (0,0) and (-4,7)
The general form of a linear equation is y - y1 = m(x - x1). The point-slope form is y = - 1.75x.
What is point-slope form?The general form of a linear equation is y - y1 = m(x - x1). It draws attention to the line's slope and one of the line's points (that is not the y-intercept).
Given: (x1, y1) = (0, 0) and (x2, y2) = (-4, 7)
The point-slope form is given by,
y - y1 = m(x - x1)
m = (y2 - y1)/(x2 - x1)
substitute the values in the above equation, we get
m = (7- 0)/(-4 - 0) = -7/4
The value of m = -7/4.
y = -1.75x
Therefore, the point-slope form is y = - 1.75x
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Identify all values of x that make the equation true
Answer:
[tex]{ \rm{ \frac{6 {x}^{2} + 18x }{2 {x}^{3} } = \frac{5}{x} }} \\ \\ { \rm{ \frac{3x + 9}{ {x}^{2} } = \frac{5}{x} }} \\ \\ { \rm{x(3x + 9) = 5 {x}^{2} }} \\ { \rm{3 {x}^{2} + 9x = 5 {x}^{2} }} \\ { \rm{3x + 9 = 5x}} \\ { \rm{2x = 9}} \\ { \rm{x = 4.5}}[/tex]
Cory studied for his math test on Monday and Tuesday. He spent a total of 75 minutes studying. He spent an extra 15 minutes studying on Tuesday. How long did he study on Monday and Tuesday
Answer:
90 minutes...
Step-by-step explanation:
75+15....
Find the missing angle
Answer:
The answer is in the provided screenshot!!!
I hope this helps! Please let me know if you have any questions!!!
If the midpoint of two points is 2,5 and one of the endpoints is 6,3, what is the y-coordinate of the other endpoint
Step-by-step explanation:
Let the given midpoint is md which is: md (2, 5) and let say one end point is E (6, 3) and the other end point P( x, y).
So, by using midpoint formula we have,
[tex](2 \: \: 5) \: = (\frac{6 + x}{2} ) \: \: . \: (\frac{3 + y}{2} ) \\ 6 + x = 4 \\ \times = - 2 \\ and \: \: 3 + y = 10 \\ y = 7[/tex]
so the y - coordinate of the other end is y = 7
solve each proportion.
3/7=12/x
The value of x in the equation 3/7 = 12/x is equal to 28.
Proportion is a type of mathematical equation that is used to determine the value of the quantities that are not known by forming two equal ratios.
Ratios can be defined as an expression that is used to compare the size of two numbers in relationship to each other to determine how big is one number from the other.
The given proportion can be solved as follows:
3/7 = 12/x
3x = 12 × 7
3x = 84
If 3x is equal to 84, then x will be equal to:
x = 84/3
x= 28
Therefore, the proportion is solved as the value of x is found to be 28.
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in a school canteen, a cup of tea costs 80p. Write down an expression for the cost in pence of y cups of tea
The expression is f(y) = 80y.
We have a school canteen.
We have to write down an expression for the cost in pence of y cups of tea.
What is a function in Mathematics?A function in mathematics is a relation involving two variables, such that one variable is dependent on the other for its value.
According to the question -
Number of cups of tea = y
Cost of one cup = 80 pence.
Therefore, the function representing the cost in pence of y cups of tea =
f(y) = 80y
Hence, the expression is 80y.
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43. What is the momentum of a baseball with a mass of 1.5 kg being thrown at a velocity of 90 m/s towards the hitter? (2
pts)
Answer:
points
Step-by-step explanation:
Determine the truth value of the given conditional statement. If true, explain your reasoning. If false, give a counterexample.
If {x⁴=16}, then x=2.
A function assigns the values. The given statement "If {x⁴=16}, then x=2" is true.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The given statement "If {x⁴=16}, then x=2" is true. This is because we solve the equation x⁴=16 for the value of x as shown below, then the value of x will be 2, as shown below.
x⁴ = 16
x⁴ = 2 × 2 × 2 × 2
x × x × x × x = 2 × 2 × 2 × 2
x = 2
As it is seen that the value of x is 2. Although, the given statement may be false if the value of x is -2 because still the value of x⁴ = 16, but the only two options available are true and false. Thus, we can conclude that the given statement is true.
Hence, The given statement "If {x⁴=16}, then x=2" is true.
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You deposit $70 in a savings account that pays an annual interest rate
of 3%. How much simple interest would you earn in 2.5 years?
Write an equation of a circle with the given center and radius. Check your answers.
center (0,0) , radius 10
The equation of the circle with radius 10 and center at (0 , 0) is x^2 + y^2 = 100.
The general form of the equation of circle is given by (x - h)^2 + (y - k)^2 = r^2, where (h , k) is the location of the center and r is the radius of the circle.
Given the radius and center of the circle, substitute these values to the general form of the equation of the circle.
(x - h)^2 + (y - k)^2 = r^2
where (h , k) = (0 , 0)
r = 10
(x - 0)^2 + (y - 0)^2 = 10^2
x^2 + y^2 = 100
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oiytrewsdfvbnmoijhugytfr
Answer:
kribble
Step-by-step explanation:
Answer: rftyguhjiomnbvfdswertyio
Step-by-step explanation:
pyploliguatd
Help please??? Quick
Answer:2.5
Step-by-step explanation:
5/2=2.5
b. Write ³√81 in the form 3^n
[tex]Answer:\ \sqrt[3]{81} =3^\frac{4}{3}[/tex]
Step-by-step explanation:
[tex]\displaystyle\\\sqrt[3]{81}=(81)^\frac{1}{3} \\\\\sqrt[3]{81}=(3^4)^\frac{1}{3} \\\\\sqrt[3]{81} =3^{\frac{4}{3}\\[/tex]
Por favor help me . I’m struggling on this specific topic and need to know how to resolve it. Thanks in advance
Using the graph of h we get (a) Value of function h at x=5 is 8
(b) Limit of h(x) at x=5 does not exist
(c) Value of function h at x=7 is 4
(d) Limit of h(x) at x=7 does not exist
(e)Limit of h(x) at x=8 is 5
What is limit of a function how to find limit using graph?Limit : Limit is the value that a function output approaches as the input approaches to a certain value.
For any function g(x) , [tex]\lim_{x \to \22} g(x)[/tex] refers to the value that the g(x) approaches as the x approaches to 2 from either left hand side or from right hand side
From any graph we can easily see that to what value g(x)=y on the curve is approaching when the x is approaching to some value on x axis and if the graph is splitting into different functions on the value of x where x is approaching then the limit does not exist for that value of x.
For given graph h(x)
We can see value of value of function h at x=5 is 8 and value of function h at x=7 is 4
As the graph of h(x) has a hole in the graph when x=5, breaking its function into two different function on x=5 then or limit of h(x) at x=5 does not exist
As the graph of h(x) has a hole in the graph when x=7, breaking its function into two different function on x=7 then or limit of h(x) at x=7 does not exist
As the graph is not breaking at x=8or we can say that graph of g(x)is approaching to 5 as x approaches to 8 then limit of h(x) at x=8 is equal to g(1) that is 5
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3. The!perimeter!of!a!rectangle!is!24.!!Find
the dimensions if its length is 4 greater
than its width.
Answer:
the length would be 9.6 and the width would be 2.4
Step-by-step explanation:
9.6×2= 19.2
2.4×2= 4.8
19.2+4.8=24
Jenny is 12 years older than Steve, Five years ago, Jenny was four times older that Steve was then. How old are Jenny and Steve now?
say Steve is x ,then jenny will be x + 12
five years ago Steve's age was x - 5 and Jenny's age was x + 12 - 5= x + 7
since jenny was four times Steve's age 5 years ago the equation will be
x + 7 = 4(x - 5)
= x + 7 = 4x - 20
putting like terms together, we will have
4x - x = 20 + 7
= 3x = 27
this means 3x ÷ 3= 27 ÷ 3
x = 9
this means Steve is 9 years old and Jenny is 21 years old
on Tuesday the shop receives x cents by selling bottles of water at 45 cents each. In terms of x, how many bottles were sold
the bottles were sold equal x / 45
The sum of an integer and 6 times the next consecutive integer is -50. Find the
value of the greater integer.
Answer:
Submit Answer
Dar
The value of the greater integer is -8.
Given,
The sum of an integer and 6 times the next consecutive integer = -50
We have to find the value of the greater integer:
Let's take x as the integer.
Next consecutive integer be (x + 1)
Now,
x + 6(x + 1) = -50
x + 6x + 6 = -50
7x + 6 = -50
7x = -50 - 6
7x = -56
x = -56/7
x = -8
The value of x is -8.
Now,
x + 1 = -8 + 1 = -7
That is,
-8 + (6 × -7) = -50
-8 -42 = -50
Here, the integers are of negative values.
So, the value of greater integer be -8.
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Solve the right triangle.
Answer:
Step-by-step explanation:
awnser is a
Δ A B C is a right isosceles triangle with hypotenuse AB. M is the midpoint of AB. Write a coordinate proof to show that CM is perpendicular, to AB.
It is proved that CM will be perpendicular to AB if M is midpoint of AB.
It is given that ΔABC is a right isosceles triangle with hypotenuse AB and M is midpoint of AB.
We have to prove that CM is perpendicular to AB.
What is an isosceles triangle ?
An isosceles triangle ΔABC is a triangle that has at least two sides of equal length i.e., AC= BC
As per the question ;
ΔABC is a right isosceles triangle with hypotenuse AB.
⇒ AC = BC (by the definition of isosceles triangle)
Also ;
M is midpoint of AB.
⇒ CM = CM (reflexive property)
So ;
ΔACM ≅ Δ BCM (by SSS)
∠A = 45° and ∠B = 45° because of right isosceles triangle.
Also ;
∠ACM = ∠BCM
because they are corresponding angles of congruent triangles
i.e.,
∠ACB = 90°
Now ;
∠ACM + ∠BCM = ∠ACB
because they are adjacent angles.
∵
∠ACM = ∠BCM , so ;
∠ACM + ∠ACM = ∠ACB
2∠ACM = 90°
∠ACM = 45 °
∵
∠A = 45 ° and ∠ACM = 45°
⇒ ∠AMC = 90°
because the sum of angles in a triangle is 180°.
So ,
If ∠AMC = 90° , then CM is perpendicular to AB because perpendicular lines form 90° angles.
Thus , CM will be perpendicular to AB if M is midpoint of AB.
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2(4w-1)=-10(w-3)+4 solve the question
Answer:
w = 2
Step-by-step explanation:
[tex]2\cdot \:4w-2\cdot \:1\\= 8w-2\cdot \:1\\= 8w-2\\-10\left(w-3\right)+4\\= - 10w - \left(-10\right)\cdot \:3\\= -10w+10\cdot \:3\\-10w + 30\\= -10w + 30+4\\= -10w + 34\\8(w)-2=-10w+34\\8(w) - 2+2 =-10w+34+2\\8(w)=-10w+36\\18(w)=36\\\frac{18(w)}{18} = \frac{36}{18}\\= 2[/tex]
Answer:w=2
Step-by-step explanation:
8w-2=-10w+30+4
8w-2=-10w+34
Add 10 w both sides
18w-2=34
add 2 both sides
18w=36
Divide by 18
W=2
A weathervane is used to indicate the direction of the wind. If the vane is pointing northeast and rotates 270° , what is the new wind direction?
A weathervane is used to indicate the direction of the wind. If the vane is pointing northeast and rotates 270° southeast is the new wind direction.
A direction of 270 degrees would indicate a wind blowing in from the west.How can a weathervane be used to detect wind?
An arrow and a tail make up the weathervane. The arrow points in the direction of where the wind is coming from, and the tail fin catches the wind. A north wind is present if the arrow on the weathervane is pointing toward the north.What does a weathervane with a wind vane display?
A device used to indicate the direction of the wind is a wind vane, weather vane, or weathercock. It is frequently utilized as an architectural adornment at a building's highest point. The Old English word fana, which means "flag," is where the word vane originates.Learn more about weathervane
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Suppose a balloon is filled with 5000 cm³ of helium. It then loses one fourth of its helium each day. How much helium will be left in the balloon at the start of the tenth day?c. How can you write a formula for this sequence?
The sequence can be expressed by the formula: v(n) = 5000 . (3/4)ⁿ⁻¹. Helium left at the start of the 10th day is 375.42 cm³
1st day:
Helium is filled with 5000 cm³ of helium.
We can write v(1) = 5000 cm³
2nd day:
The balloon losses 1/4 of helium volume. In other word, the remaining volume of helium is:
(1 - 1/4) = 3/4 of its initial volume.
We can write:
v(2) = 3/4 . 5000 = 3750 cm³
We can continue this process:
v(3) = 3/4 . 3750 = 2812.5
Notice that each day remaining volume of helium forms a geometric sequence, with v(1) = 5000 and a common ratio (r) = 3/4.
Recall the formula for the nth term of a geometric sequence:
v(n) = v(1) . rⁿ⁻¹
To find the explicit formula, substitute v(1) = 5000 and (r) = 3/4:
v(n) = 5000 . (3/4)ⁿ⁻¹
Tenth day means n = 10. Substitute these parameters into the formula:
v(10) = 5000 . (3/4)¹⁰⁻¹
v(10) = 5000 . (3/4)⁹
= 375.42 cm³
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A project has a critical path with a duration of 20 weeks and a standard deviation of 4 weeks. There is a 35% chance the project will be completed in x weeks or less. What is x? select the closest answer.
According to the question, a project has a duration of [tex]20[/tex] weeks and a standard deviation of[tex]4[/tex] weeks. And the calculated weeks to complete the [tex]35[/tex] percent work is [tex]18.4[/tex].
As per question, the critical path is the longest path from start to finish. It tells the minimum time required to finish the assigned project.
As per the question, the given data is as follows:
Time Duration = [tex]20[/tex] weeks, Standard Deviation = [tex]4[/tex] weeks, Completion = [tex]35[/tex] percent
[tex]Z = \frac{S-T}{var} =18.4[/tex]
The solution for the given question is [tex]18.4[/tex].
What is the critical path?
The critical path is the path for the assigned work and it is the longest path. This phenomena is used to calculate the minimum time for the project completion.
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I need to find the angle measure and am not sure how to
Answer:
angle TEA = 58 (which is 29 times 2) degrees
angle TEF = 37 (which is 74 divided by two 2) degrees
Step-by-step explanation:
The angle bisector divides a given angle into two equal parts
Two people quit work and begin college at the same time. Their salary and education information is given in the table below.
Salary prior to school
Years attending college
Total cost of college
Salary upon graduating
Person A
$18,000
3
$45000
$33,000
Person B
$27,000
4
$30,000
$37,000
Choose the true statement.
a.
Person A recovers their investment in a shorter amount of time.
b.
Person B recovers their investment in a shorter amount of time.
c.
They recover their investments in the same amount of time.
d.
There is too little information to compare the time to recover their investments.
Person B recovers their investment in a shorter amount of time.
What is the recovery time?In order to determine the recovery time, divide the total cost of college by the salary that is earned after graduating from college.
Division is the process of grouping a number into equal parts using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations.
Recovery time = cost of college / salary after college
Recovery time for person A = $45,000 / $33,000 = 1.36
Recovery time for person B = $30,000 / $37,000 = 0.81
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Please help with the question on the photo :)
Answer:
Explanation:
a) To work out the average or mean age we must first calculate the total age.
19 x 2 = 38
20 x 3 = 60
21 x 1 = 21
22 x 4 = 88
23 x 1 = 23
Total = 230
Then... Divide the number of players with this figure
Number of players = 2 + 3 + 2 + 4 + 1 = 11
230/11 = 20.9 is the average age of the players
b) We know the average will now be 22 and we know the number of players is now 12.
So... 22 x 12 = 264 (This will be the new total age of all the players)
We know the previous total was 230
So 264-230 = 34 (years old)
I hope this helps you! :)
Solve each equation. 7(a+1)-3 a=5+4(2 a-1)
The the solution of the linear equation in one variable 7(a+1)-3 a=5+4(2a-1) is at a = 3/2.
According to the given question.
We have a linear equation in one variable.
7(a+1)-3 a=5+4(2a-1)
As we know that, the linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
Thereofre, the solution of the linear equation in one variable 7(a+1)-3 a=5+4(2a-1) is given by
7(a+1) -3a = 5 + 4(2a - 1)
⇒ 7a + 7 - 3a = 5 + 8a - 4 (by distributive rule)
⇒ 4a + 7 = 1 + 8a
⇒ 7 - 1 = 8a - 4a
⇒ 6 = 4a
⇒ 6/4 = a
⇒ a = 3/2
Hence, the the solution of the linear equation in one variable 7(a+1)-3 a=5+4(2a-1) is at a = 3/2.
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Use the given information to determine whether LM is a perpendicular bisector, median, and/or an altitude of Δ J K L .
Δ J L M ≅ ΔK L M
LM is the perpendicular bisector, median, and altitude of Δ JKL.
Since Δ JLM ≅ ΔKLM, we can prove JM ≅ MK and [tex]\angle[/tex] LMJ ≅ [tex]\angle[/tex] LMK. Since [tex]\angle[/tex] LMJ ≅ [tex]\angle[/tex] LMK and they are a linear pair, then we know they are right angles and LM ⊥ JK.
What is meant by CPCTC?CPCTC is an abbreviation for "corresponding parts of congruent triangles are congruent," and it states that if two or more triangles are congruent, their corresponding angles and sides are also congruent.
CPCTC is frequently used at or near the end of a proof in which the student is asked to demonstrate that two angles or two sides are congruent. It means that if two triangles are proven to be congruent, the three pairs of sides that correspond must also be congruent, as must the three pairs of angles that correspond.
Since Δ JLM ≅ ΔKLM, we can prove JM ≅ MK and [tex]\angle[/tex] LMJ ≅ [tex]\angle[/tex] LMK. Since [tex]\angle[/tex] LMJ ≅ [tex]\angle[/tex] LMK and they are a linear pair, then we know they are right angles and LM ⊥ JK.
Therefore, we know that JM ≅ MK by CPCTC, making M the midpoint of JK. Therefore, LM is the perpendicular bisector, median, and altitude of ΔJKL.
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