The value of the constant of variation is 130
What is constant of variation?Constant of variation can be defined as the ratio between two variables in an inverse variation on a direct variation.
In direct variation equations = k and y = kx, In inverse variation equations xy = k and y = , k is the constant of variation.From the information given, we have that;
The number of hours is x
The temperature is y
x α 1/ y
x = k/y
k = xy
Substitute the values
k = 2 × 65
k= 130
Thus, the value of the constant of variation is 130
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The complete question:
the number of hours it takes for a block of ice to melt varies inversely as the temperature. If it takes 2 hours for a square inch of ice to melt at 65 degrees find the constant of variation
please help with problem 25
I am writing this because the app says the answer is to short
A triangle has two sides of lengths 10 and 14. What value could the length of
the third side be? Check all that apply.
A triangle having two sides of lengths 10 and 14 will have the third side length less than 24.
As per the question statement, We are given a triangle that has two sides of lengths 10 and 14 and we are asked about the length of the third side.
Before solving the question, we should be well aware of the the theorem of triangle side sum property.
"According to the "sum of sides of a triangle rule," any two triangle sides' sums must be bigger than the length of the third side."
The sum of length of two sides are = [tex]10+14=24[/tex]
Hence the length of third side has to be less than 24 as per the theorem.
Triangle side sum property: "According to the "sum of sides of a triangle rule," any two triangle sides' sums must be bigger than the length of the third side."To learn more about triangles and its properties, click on the link given below:
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HELP PLEASE PLEASE 100 POINTS
Answer:
x=29
z=13
<RIG= 59°
<ZIM=31°
step-by-step explanation:(vertically opposite angles)
<ZIA=<MIG
3x-56=x+2
group like terms
3x-x=56+2
2x=58
divide both side by the coefficient of x
2x/2=58/2
x=29
<RIG+<GIM=90°
4z+7+x+2=90°
where x=29
4z+7+29+2=90°
4z+38=90°
make for 4z the subject
4z=90°-38°
4z=52°
let z stand alone
4z/4=52/4
z=13
<RIG=4z+7
where z=13
4(13)+7
52°=RIGZ
<ZIM=x+2
where x =39+2
x=31°
Answer:
x = 29
z = 13
Angle RIG = 59 deg.
Angle ZIM = 41 deg.
Step-by-step explanation:
So we know that angle ZIA = angle MIG
3x - 56 = x + 2
We can solve this equation
2x = 58
x = 29
Next, angle RIG + GIM = 90 degrees.
So if we do 4z + 7 + x + 2 = 90 degrees when x = 29, we can plug x in.
4z + 7 + 29 + 2 = 90 degrees
4z + 38 = 90 degrees
4z = 90 - 38
4z = 52
z = 13
Angle RIG = 4z + 7
We know that z = 13
4 * 13 + 7 = 52
Therefore RIGZ = 52 degrees.
Angle ZIM = x + 2
x = 39 + 2
x = 41
A sampling interval of 5 (selecting every fifth unit) was used to select a sample from a population of 1000. how many elements are to be in the sample?
200 elements are required to be in the sample.
What is a sampling interval of a population?The sampling interval is the frequency with which data is collected. The sampling interval is computed by the division of the total population size by the required sample size.
So, from the information given:
The total population N = 1000The sampling interval (i) = 5The elements that are required to be in the sample i.e. the sample size (n) can be computed by using the formula:
[tex]\mathbf{i = \dfrac{N}{n}}[/tex]
[tex]\mathbf{ n= \dfrac{N}{i}}[/tex]
[tex]\mathbf{ n= \dfrac{1000}{5}}[/tex]
n = 200 elements.
Therefore, we can conclude that 200 elements are required to be in the sample.
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Simplify a^7 b^2 a^-9
Select one:
O a. a^2/ b²
O b. a^8 b^2
O c. a^2 b^2
O d. b^2/a ²
The answer to the given question is b²/a²
The power of a number tells us how many times that number must be multiplied. Exponents and indexes are other names for powers. For instance, 8² denotes "8 squared," "8 squared," or just "8 squared."
A power is just an expression that denotes repeatedly multiplying the same number or factor. The exponent value depends on how frequently the base has been multiplied by itself.
For instance, 8 x 8 x 8 x 8... times is 8. The phrase 8n above is pronounced as 8 raised to the power n. As a result, exponents are also sometimes referred to as power or indices.
a⁷ b² a⁻⁹
= a⁽⁷⁻⁹⁾ b²
= a⁻² b²
= b² / a²
Therefore, The value of the given equation is b²/a²
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The formula C = P(1-d) is used to find the cost of an item that is discounted.
C represents the cost of an item after a discount. P represents the original price of an item, and d is the amount of the discount
written as a percent in decimal form.
Solve for d.
A d-1-
B d-1-2
C d=1+%
D d=-1
The value of the discount d is given by [tex]\\\\d=1-\frac{C}{P}[/tex] .
A reduction in price that is often offered for early or quick payment or to a select group of customers is called discount.
The amount that results from subtracting the cost of production from the purchasing price is called the profit.The cost is the total amount needed to create a good or provide a service.Selling price is the cost at which something actually sells.Profit = sell price-cost priceDiscount = Marked price - sell priceGiven expression for the Profit , cost price and discount as
[tex]or, C = P(1-d)[/tex]
Here d is the discount , P is the profit and C is the cost price.
Now solving the equation for d we get:
[tex]or, C = P(1-d)\\\\or,\frac{C}{P} =1-d\\\\or, d+\frac{C}{P}=1\\\\or, d=1-\frac{C}{P}[/tex]
Hence the expression for calculating the discount d is given by
[tex]\\\\d=1-\frac{C}{P}\\[/tex] .
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joyce paid $90 for an item at the store that was 40 percent of the original price. what was the original price?
Answer:
Step-by-step explanation:
answer is $100.00 is original price
40% of 100 = $90
a pizza parlor can make 100 pizzas in an evening. they make 40 pepperoni pizzas and 60 extra cheese pizzas. they are producing each pizza at the lowest possible cost. 100 people order pizza, but 50 people would like a pepperoni pizza and 50 would like an extra cheese pizza. this pizza parlor is what?
Technically efficient, is what pizza parlor is but not allocatively efficient nor economically efficient
What is meant by Technical efficiency? Give an example.
The effectiveness with which a several set of inputs is employed to generate an output is called as technical efficiency. Technical efficiency refers to a company's ability to generate the highest amount of output from the least amount of inputs, such as labor, capital, and technology.
Technical effectiveness eliminates the wants for resource unemployment.
Consider the following example : Using its present staff and robot count, a company manufactures 300 automobiles every week. if 320 was the highest possible output.
The company's technical efficiency rate is (300/320) = 93.75%.
In this example , certain employees and factor inputs are underutilized, and some potential production is lost.
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Find the distance between the two points.
(-9,9) and (-16,33)
The distance is
(Type an exact answer, using radicals as needed.)
The distance between the given two points is 25.
The coordinates of two points given to us are (-9, 9) and (-16, 33).The length of the line segment connecting two places is defined as the distance between them. The length of the line segment connecting the specified coordinates can be used to compute the distance between two locations in coordinate geometry.The distance (d) between the two points whose coordinates are (x1, y1) and (x2, y2) is given by the formula:d² = (x2-x1)² + (y2-y1)² We will apply the above formula.d² = (-16-(-9))² + (33-9)²d² = (-16 + 9)² + (33-9)²d² = (-7)² + (24)²d² = 49 + 576d² = 625d = √625d = 25Thus, the distance between the given points is 25.To learn more about distance, visit :
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Select two ratios that are equivalent to 5 :2
Answer:
35:14
Step-by-step explanation:
On calculator 5/2 =2.5
Try this choice to get the same percentage
Answer:
B = 10 : 4 & D = 35 : 14
Step-by-step explanation:
Hope this helps :)
yall help me pwease im so bad at math
Answers are in bold
4x-62x/5x - 74/e6(9+x)x(13-6)10x+12(20/x) + 7(x - 16)/2==========================================================
Explanations:
"Four times a number" gives us "4x". We then subtract off 6.The expression 2x represents "2 times a number", aka "the product of 2 and a number". We then divide that expression over 5 to get the quotient.Take any number x, and subtract off 7. For instance, if x = 10, then x-7 = 10-7 = 3, which shows that 3 is 7 less than 10.The term "quotient" means "result of division". So we divide 4 over 'e'The expression 9+x is the sum of 9 and some unknown number. The 6 out front means we multiply 6 with (9+x).The term "difference" means we'll be subtracting the terms."ten times a number" translates to 10x, in which we increase that by 12 to get 10x+12The portion 20/x is the quotient of 20 over x. This is similar to problem 4. Then we increase the (20/x) by 7 to get (20/x) + 7The x-16 part is the difference of x and 16. That result is then divided in half.Who were the aggressors in the war that is discussed in Zlata’s Diary? Bosnian Muslims Bosnian Croats Bosnian Serbs
Answer: The answer is the third option. Bosnian Serbs were the aggressors in the war that is discussed in Zlata’s Diary. This diary is a book by Zlata Filipović. It was written from 1991 to 1993 during the Bosnian war.
Step-by-step explanation: hope this helps!!!!
In the diagram below AB is parallel to CD. what is the value of y
Answer: 30 degrees ==> C
Step-by-step explanation:
y+150=180 ==> 150 is the alternate interior angle of angle y's supplementary angle. So, these two angles add up to 180.
y=30 degrees ==> C
theater had 4100 seats the students left 19% of the seats vacant , how many students went on the trip
Answer:
3,321
Step-by-step explanation:
1-0.19=0.81
4100*0.81=3,321
3,321 students went on the trip.
Hope this helps!
Please mark as brainliest if correct!
-2(3x + 6) > 4(x + 7)
show that these statements about the integer x are equivalent: (i) 3x 2 is even, (ii) x 5 is odd, (iii) x2 is even.
All the above statements are proved using proof by contraposition.
What is proof by contraposition?Proof by contrapositive, also known as proof by contraposition, is an inference technique used in mathematics where a conditional statement's contrapositive is used to infer the conditional statement's conclusion. To put it another way, the conclusion "if A, then B" is inferred by building a proof of the claim "if not B, then not A" instead. This method is frequently chosen if the contrapositive is more straightforward to establish than the first conditional statement.
The term "contraposition" describes a proving strategy known as "proof by contraposition," which involves drawing an inference from a conditional statement to its logically equivalent contrapositive. The antecedent and consequent of a sentence are inverted and flipped in the contrapositive.
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Solve the system by substitution or elimination.
y = 2x+8
y = 3x - 1
Given m/n find the value of x (8x+10)=(6x+30)
The value of x from the given expression is 10
Solving linear expressionsLinear function are functions that has a leading degrees of 1. Given the expression below;
(8x+10)=(6x+30)
Collect the like terms
8x - 6x = 30 - 10
2x = 20
Divide both sides by 2
2x/2 = 20/2
x = 10
Hence the value of x from the given expression is 10
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Write the expression that represents the area of the rectangle shown
3 7
Answer:3x7
Step-by-step explanation:Area is width x length. So 3x7.
Find the sum of the interior angle measures of 28-gon
Answer:
4680°/28 = 167.14°
Step-by-step explanation:
So, for a polygon with 28 sides, the sum of the measures of the interior angles is 26(180°) = 4680°. Since the polygon is regular, each interior angle has the same measure. So, the measure of each interior angle = 4680°/28 = 167.14°
3x-6y=6. Solve for y
How do i solve this equation
3x^2+56x-7
Answer:
that is the answer
you cant simplify the equation further
3x ^ 2 + 56x - 7 is the answer
Step-by-step explanation:
PLEASE EXPLAIN THIS TO MEEEE (image included)
PLEASE GIVE ME AN EXPLANATION THAT I CAN REALLY UNDERSTAND
Answer:
first option
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, 4 ) and (x₂, y₂ ) = (3, - 4 )
m = [tex]\frac{-4-4}{3-1}[/tex] = [tex]\frac{-8}{2}[/tex] = - 4 , then
y = - 4x + c ← is the partial equation
to find substitute either of the 2 points into the partial equation
using (1, 4 ) , then
4 = - 4 + c ⇒ c = 4 + 4 = 8
y = - 4x + 8 ← equation of line
Answer:
A
Step-by-step explanation:
Substitute in the equation remove each x and put 1 if the result is 4 that's mean it's the true equation
If FG = 2x, GH = x-1, and FH = 5 what is GH?
Answer:
GH = 1
Step-by-step explanation:
Finding the value of x,
→ FG + GH = FH
→ 2x + x - 1 = 5
→ 3x = 5 + 1
→ x = 6/3
→ [ x = 2 ]
Now the value of GH is,
→ GH = x - 1
→ GH = 2 - 1
→ [ GH = 1 ]
Hence, the value is 1.
if the sides in a parallelogram are 3 cm and 5 cm, can the diagonal in the parallelogram be 10 cm? 8 cm? 4 cm? why?
The diagonal of the parallelogram be 10 cm or 8 cm.
What is defined as the parallelogram?A parallelogram is just a quadrilateral with two parallel sides (and therefore opposite angles equal).
A rhombus is a quadrilateral to equal sides, while a rectangle is a parallelogram with all right angles. Furthermore, because a square is a degenerate situation of a rectangle, rectangles and squares are both special kinds of parallelograms.A parallelogram's opposite sides are all the same length.A parallelogram's adjacent or adjoining angles add up to 180°.A parallelogram's diagonals cross each other.For the given case.
The sides of the 3 cm and 5 cm. As, these two side are the adjacent sides of the parallelogram, the diagonal formed will be the closing side of the triangle.
As, the diagonal is the longest side of the triangle, thus its value must be greater than other side.
This is possible with the diagonal values of 10 cm and 8 cm.
Thus, 10 cm and 8 cm are the correct values for the diagonal of parallelogram.
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Calculate (2.5 × 106) + (7 × 105)
Give your answer in standard form.
Answer:
hdshsjjkksjsjskskwiisiw
Numbers from greatest to least
You decide to save money to purchase an automobile. You save $1,500 and the total cost of the
new automobile is $27,890. The dealership offers to loan you the remaining amount, in order to
purchase the automobile, at 5.25% annual interest for 66 months.
3. What is the principal of the loan?
Show your work here:
4. What is the total amount of interest that you will have paid on the loan when the
automobile is paid off?
Show your work here:
The principal for the loan is $27,890.
The total amount of interest to be paid on the loan, at a rate of 5.25% after 66 months is $8053.24
How to find the principalThe principal is the amount of money to be paid for the automobile which is $27,890.
How to find the interest
from simple interest formula = ( principal * time * rate ) / 100
given data
principal = $27,890
time = 66 months
rate = 5.25%
converting the time to years gives
time = 66 / 12
time = 5.5 years
simple interest = ( 27 890 * 5.5 * 5.25 ) / 100
simple interest = 805 323.75 / 100
simple interest = $8053.24
We can therefore say that the amount of interest paid on the loan at a rate of 5.25% after 66 months is $8053.24
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Solve 1/2 = 1/4(y + 1/8) for y.
y = 1/2
y = 3/4
y = 15/8
y = 3/2
Answer:
here :)
Step-by-step explanation:
(4^6) (4^−8)?????????????
Answer:
1/16
in decimal form it is:
0.0625
Step-by-step explanation: