Answer: 38.5%
Step-by-step explanation:
it decreased by 38.5%
formula for it is (value 2 - value 1)/value 1 * 100 = so (800-1300)/1300*100 = -500/1300*100 = -0.384615 * 100 = -38.4615 = -38.5 (round off) = 38.5 decrease
I am stuck on this question and i honestly am stuck and do not know what to do.
The basic parts of a circle include its diameter, circumference, radius, arc, chord, tangent, tangent, section, and segment.
What is Circle radius?the surface or circumference of a circle, ball, and other object measured in a straight line The radius and diameter of a circle are equal. The length of such a line. whatever radiating or radial component. A circle's chord is the line segment that connects any two locations on the circle's circumference. It should be remembered that a circle's diameter is defined as the lengthiest chord that runs across the center of the circle.
Here,
given
The letter "C" should be in the center.
radius=r=AC=CB
Diameter=d=2r=AB.
Therefore , the solution to the given problem of circle comes out to be ,the basic parts of a circle include its diameter, circumference, radius, arc, chord, tangent, tangent, sector, and segment.
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10) You use a technical support company for your computer. The company bills you at a rate of $10 per month and $35 per hour for phone support.
a. Identify the fixed cost (the constant).
b. Identify the independent variable (x).
c. Identify the dependent variable (y).
d. Write an equation that describes the situation above.
e. If you were billed $97.50 for last month, how many hours of phone support did you need? Show all work.
Answer:
a) 10
b) Number of hours of phone support (per month).
c) Total bill (per month).
d) y = 35x + 10
e) 2.5 hours
Step-by-step explanation:
The company bills you at a rate of:
$10 per month$35 per hourPart aThe fixed cost (the constant) is the cost per month ⇒ $10.
Part bThe independent variable is the variable that is not affected by any other variables.
Therefore, the independent value (variable x) is the number of hours of phone support per month.
Part cA dependent variable is the variable that is affected by the other variable.
Therefore, the dependent value (variable y) is the total bill (in dollars) per month.
Part dThe equation that describes the given situation is:
[tex]y = 35x + 10[/tex]Part eTo calculate how many hours of phone support was needed for a bill of $97.50, substitute y = 97.5 into the equation from part d and solve for x.
[tex]\implies 35x+10=97.5[/tex]
[tex]\implies 35x+10-10=97.5-10[/tex]
[tex]\implies 35x=87.5[/tex]
[tex]\implies \dfrac{35x}{35}=\dfrac{87.5}{35}[/tex]
[tex]\implies x=2.5[/tex]
Therefore, 2.5 hours of phone support was needed last month.
Subtract (9x-12)-(5x-7)
Answer:
Step-by-step explanation:
(9x-12)-(5x-7)=9x-12-5x+7=9x-5x-12+7=4x-5
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column A
1. 4.08÷4=N
2. 2.25÷1.5=N
3. 106.26÷4.2=N
4. 71.46÷0.2=N
5. 3.015÷15=N
Column B
A 25.3
B 357.3
C 0.201
D 1.5
E 1.02
with solution plss
Column A and B matching the results with the operations
4.08÷4=1.02 (N=1.02) A2.25÷1.5=1.5 (N=1.5) D106.26÷4.2=25.3 (N=25.3) A71.46÷0.2=357.3 (N=357.3) B3.015÷15=0.201 (N=0.201) C(Simplify: 7a + 6 - 3 - 2
Eve has been keeping an eye on an emerald ring she likes. Its original price was $1,730. After
being marked down for a clearance sale, it is now $1,038. By what percent has the price of the
ring gone down?
40 percent price of the ring gone down due to a clearance sale
What is percent value?
In mathematics, percent implies a relative value of any quantity. Generally, percent value expresses the hundredth parts of any given quantity. Sometimes, operator % is used to indicate a percent value.
From a given percent value we can determine the real value and percent value is calculated from the original data.
What is the percent value of the ring that gone down?
given, the original price of the emerald ring = $1730
after a clearance sale, the price of ring became = $1038
difference in price = $(1730-1038) = $ 692
hence, the price of the ring that gone down = $692
now, percent value of the price gone down = $692/$1730 × 100
= 40%
hence, forty percent of the ring price gone down.
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The top-notch middle school had athletes from all the grades playing on a sports team. 6th grade 7th grade 8th grade basketball 2 4 7 baseball 1 6 5 soccer 7 4 4 football 8 15 10 explain what the ratio 5:73 represents. the ratio 5:73 represents the ratio of 8th grade baseball players to total athletes. the ratio 5:73 represents the ratio of 7th grade football players to total athletes. the ratio 5:73 represents the ratio of total athletes to 7th grade football players. the ratio 5:73 represents the ratio of 6th grade athletes to total athletes.
The ratio 5:73 represents the ratio of 8th grade baseball players to total athletes.
What is ratio?In mathematics, a ratio is a comparison of two or more numbers that demonstrates how large one number is relative to the other. The divisor or number that is dividing is known as the consequent, while the dividend or number being divided is known as the antecedent. A ratio divides two numbers to compare them.
Given that the Total number of athletes are 2+4+7+1+6+5+7+4+4+8+15+10
= 73
Ratio of 5:73 represent the athletes in a particular grade with specific games to total number of athletes in the school.
There are on one event is where 5 athletes are, that is 8th grade baseball players.
So the correct answer is The ratio 5:73 represents the ratio of 8th grade baseball players to total athletes.
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Tyler is flying a kite on 100 feet spring how high is it above the ground if the horizontal distance between Tyler and the kite is 600 feet
If the horizontal distance between Tyler and the kite is 600 feet then the kite is 80 ft above the ground.
Pythagorean theoremPythagoras's Theorem is a fundamental result in Euclidean geometry that states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse. This can be mathematically represented as:
[tex]c^2 = a^2 + b^2[/tex]
Where c is the length of the hypotenuse, and a and b are the lengths of the legs of the triangle.
The theorem is named after the ancient Greek mathematician Pythagoras, who by tradition is credited with its discovery and proof, although it is often argued that the theorem may have been known to the Babylonians and Indians over a thousand years earlier.
Pythagoras's theorem is widely used in mathematics and physics, especially in trigonometry and in the study of triangles and their properties, and it's also used to find the distance between two points in a two-dimensional space, for example, in cartesian coordinates.
Hypotenuse2 = Perpendicular2 + Base2
c2 = a2 + b2
We apply the Pythagorean Theorem to determine the kite's height, h
the problem can solve if the kite is 60feet
[tex]h^2 = 100^2 - 60^2\\h^2 = 10000 - 360\\h^2 = 6,400\\h=\sqrt{6400} \\h=80[/tex]
h =80 ft (we take the positive solution since the height can not be negative number)
The kite is 80 ft above the ground.
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Find the Average Rate of Change of the graph over the interval -4 < x < 5
Answer:
AROC = - [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
the average rate of change of g(x) in the closed interval [ a, b ] is
[tex]\frac{g(b)-g(a)}{b-a}[/tex]
here [ a, b ] = [ - 4, 5 ] , then
g(b) = g(5) = - 1 ← point (5, 1 ) on graph
g(a) = g(- 4) = 5 ← point (- 4, 5 ) on graph
average rate of change = [tex]\frac{-1-5}{5-(-4)}[/tex] = [tex]\frac{-6}{5+4}[/tex] = [tex]\frac{-6}{9}[/tex] = - [tex]\frac{2}{3}[/tex]
more geometry stuff pls help
Answer:
[tex]y=\sqrt{10}[/tex]
Step-by-step explanation:
Using the geometric mean theorem, [tex]y=\sqrt{(2)(5)}=\sqrt{10}[/tex].
WILL GIVE BRAINLIEST PLEASE HELP
The following triangular prism has a base that is a right triangle.
A. Draw or describe the net of this triangular prism. Make sure to include the dimensions of each part of the net.
B. Use your net to calculate the surface area of the prism.
A. The net of a triangular prism is a flattened version of the prism that shows all the faces of the prism.
The prism's base is a right triangle with a base of 3 units and a height of 4 units. The prism is six units tall. The net of the triangular prism would look like a rectangle with a length of 3 units and a width of 4 units. On top of this rectangle, there would be two smaller triangles, each with a base of 3 units and a height of 6 units.
B. To calculate the surface area of the prism, we need to add the area of all the faces.
The base of the prism is a right triangle with an area of (1/2) (3 units) (4 units) = 6 square units.
The two triangular faces have an area of (1/2) (3 units) (6 units) = 9 square units each.
The rectangular face has an area of (3 units) (6 units) = 18 square units.
So, the total surface area of the prism is:
6 square units (base) + 9 square units (triangular face) + 9 square units (triangular face) + 18 square units (rectangular face) = 42 square units.
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What is a sine ratio of an acute angle?
The sine of an acute angle in a right triangle is the ratio of the angle of the triangle to the opposite side of the hypotenuse.
Trigonometric ratios:
Trigonometric ratios are the ratios of the lengths of the sides of a triangle. These ratios in trigonometry relate the aspect ratio of a right triangle to each angle. A basic trigonometric ratio is the ratio of sin, cos, and tan, or the ratio of sin, cos, and tangent. Other important trigonometric ratios cosec, sec, and cot can be derived from sin, cos, and tan, respectively.
Acute Sine Ratio:
The tangent function examines the ratio of his two legs of a right triangle. You can also use the ratio of leg length divided by hypotenuse length.
In a right triangle, each angle has an opposite side and an adjacent side. And there is always a hypotenuse. On the opposite side and the hypotenuse we are dealing with the sine ratio. The sine of an angle is the ratio of the length of the opposite side divided by the length of the hypotenuse. In a right triangle, the sine of an angle is the ratio of the length of the opposite side divided by the length of the hypotenuse.
Let's examine some properties of the sine ratio using the Pythagorean theorem. For a right triangle, let the lengths of the triangle be a, b, and c. where a is the length of the other side of A and b is the length of the other side of B.
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Can someone help me please? Picture attached
Answer:
Step-by-step explanation:
A^2 + B^2 = C^2
12^2 + B^2 = 18^2
144 + B^2 = 324
Subtract 144 from both sides
B^2 = 324 - 144
B^2 = 180
[tex]\sqrt{180}[/tex] = 13.416
B^2 = 13.4
Wenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows:
# of movies Frequency
0 4
1 9
2 5
3 6
4 1
a) Find the sample standard deviation, s. (Round your answer to two decimal places. )
b) Find the sample mean x^-
Answer: 35
Step-by-step explanation:
: i took this quiz before :)
The length of one diagonal of a rhombus is 4 times the length of the other diagonal. Write an expression that represents the perimeter of the rhombus. Let d be the length of the shorter diagonal.
The expression that represents the perimeter of the rhombus is 2d√17
How to determine the expression that represents the perimeter of the rhombus?
From the question, we have the following parameters that can be used in our computation:
The length of one diagonal of a rhombus is 4 times the length of the other diagonal.
This means that
Length 1 = 4 * Length 2
From the question, we have
Let d be the length of the shorter diagonal.
This means that
Length 1 = 4d
Length 2 = d
The perimeter of the rhombus from the diagonals is calculated as
P = 2√(Length 1² + Length 2²)
Substitute the known values in the above equation, so, we have the following representation
P = 2√((4d)² + d²)
Evaluate the exponents
P = 2√(16d² + d²)
So, we have
P = 2√(17d²)
Evaluate the exponents
P = 2d√17
Hence, the perimeter is 2d√17
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A band wants to enter a contest that requires traveling expenses. They need at least $1,150 to cover all of the expenses. They have already saved $700. They are selling shirts with a profit of $7. 00 per shirt to earn the remaining money Part Which inequality represents the minimum number of shirts, n, the band must sell to earn the remaining money 1, 150
the number of shirts has to be an integer (you can not sell "part" of a shirt) n >= 65
They need at least $1,150
They have already saved $700
They are selling shirts with a profit of $7.00 per shirt
If they sell n number of shirts, they will earn n times $7.00
Since they have already 700, they will earn a total of 700 + 7n
If this quantity has to be equal or greater to 1,150, we can write:
1150 <= 700 + 7n
if we solve this inequality for n:
1150 <= 700 + 7n
1150 - 700 <= 7n
450 <= 7n
450/7 <= n
64.28 <= n
Since the number of shirts has to be an integer (you can not sell "part" of a shirt)
n >= 65
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Decrease 520 by 60%.
Answer:
208
Step-by-step explanation:
60 percent of 520 is 312
520 subtract 312 is 208
Answer:
208
Step-by-step explanation:
(520)-60% of 520
(520)-3×104
520-312
=208
Hope it helps you
PLS RATE AS BRAINLIEST ANSWER
Match the solution to its expression.
The equivalent values to the given expressions are -
2/3 and 3/7 respectively.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given are two expressions as -
1/3 + 1/3
5/7 - 2/7
The given expression are -
1/3 + 1/3
(1 + 1)/3
2/3
5/7 - 2/7
(5 - 2)/7
3/7
Therefore, the equivalent values to the given expressions are -
2/3 and 3/7 respectively.
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1. Find the radian measures that correspond to the degree measures 330° and 135°
Answer:
Converting from degrees to radians is actually very simple, it is a one step unit conversion.All we need to know to solve this is that (π)radians=(180)degrees Therefore 135degrees⋅(π)radians180degrees=(135180)π radians =3π4 radians
Step-by-step explanation:
hope this helps
three cards are chosen from a pack of 52 cards. what is the probability that they are not all the same color
Three cards are chosen from a pack of 52 cards. what is the probability that they are not all the same color is 0.8824 or 88.24%
What is the definition of probability?The likelihood or chance that a specific event will occur is represented by a probability.
A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportion with a range of 0 to 1, or as percentages with a range of 0% to 100%.
Given that three cards are chosen from a pack of 52 cards.
There are 26 cards of each color (i.e. 26 cards are red color and 26 cards are of black color)
The probability of drawn first card of any one color is
P(1)= 26/52 = 1/2
The probability of drawn second card of same color is
P(2)= 25/51
The probability of drawn third card of same color is
P(3)= 24/50 = 12/25
The probability of having three cards are same color is
P = P(1)*P(2)*P(3)
P = 1/2 * 25/51 * 12/ 25
P = 6/51
So the probability that three cards are not all the same color is
P' = 1 - P
P' = 1 - 6/51
P' = (51-6)/51
P' = 45/51 = 15/17
P' = 0.8824
The likelihood that the three cards are not all red is roughly 0.8824, or 88.24%,
.
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What are the factors of x^3 Y^3?
The factors of (x^3 + y^3) are ( x + y )(x^2 - x . y + y^2).
In order to find the factors of (x^3 + y^3), you need to apply the sum of cubes formula:
(x^3 + y^3) = ( x + y )(x^2 - x . y + y^2)
(x^3 + y^3) = ( x + y )(x^2 - x y + y^2)
Therefore, in order to find the factor of the given expression, you just simply need to learn the sum of cubes formula.
Similarly, the difference of cubes formula is as follows:
(x^3 - y^3) = ( x - y )(x^2 + x y + y^2)
Which gives factors of (x^3 - y^3).
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Which expressions are equivalent to (1/3x+2x−5/3x)−(−1/3x+5) ?
Select all correct expressions.
Responses
−4x+5+3x
negative 4 x plus 5 plus 3 x
5−x
5 minus x
x−5
x minus 5
4x−5−3x
Answer:
Both x - 5, and 4x-5-3x are equivalent to (1/3x+2x−5/3x)−(−1/3x+5)
Step-by-step explanation:
Let's reorganize the given expression:
(1/3x+2x−5/3x)−(−1/3x+5)
1/3x+2x−5/3x + 1/3x-5 [Expand the parentheses]
2/3x+2x−5/3x -5 [Combine like terms]
-3/3x+2x -5
-x + 2x - 5
x - 5 One of the equivalent expressions
The option 4x-5-3x also reduces to x - 5
20 h(x)=−x 2 8x20, determine the average rate of change of the function over the interval 0 ≤ x ≤ 5
The average rate of change of the function h(x) = -x² + 8x over the interval 0 ≤ x ≤ 5 is 3.
What is the average rate of change?
The Average Rate of Change function is defined as the average rate at which one quantity is changing with respect to something else changing. In simple terms, an average rate of change function is a process that calculates the amount of change in one item divided by the corresponding amount of change in another.
To find the average rate of change of a function over an interval, we need to find the difference in the function values at the endpoints of the interval, divided by the difference in the x-values of the endpoints.
In this case, the function is h(x) = -x² + 8x, the interval is 0 ≤ x ≤ 5, and we want to find the average rate of change over that interval.
So, we can use the following formula:
Average rate of change = (h(5) - h(0)) / (5 - 0)
Now we have to substitute the values into the equation:
h(5) = -5^2 + 85 = -25 + 40 = 15
h(0) = -0^2 + 80 = 0
Average rate of change = (15 - 0) / 5 = 3
Hence, The average rate of change of the function h(x) = -x² + 8x over the interval 0 ≤ x ≤ 5 is 3.
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makayla runs 3/5 of a mile in 1/6 of an hour. How fast, in miles per hour, does she run
Answer:
3.6 miles
Step-by-step explanation:
SolutionGiven information from the question,
[tex]\frac{1}{6} \ hour = \frac{3}{5} \ miles\\ 1 \ hour = \frac{3}{5} / \frac{1}{6} \ miles\\1 \ hour = \frac{18}{5} \ or\ 3\frac{3}{5} \ or \ 3.6 miles[/tex]
Answer:
Velocity is the term to illustrate speed
Step-by-step explanation:
velocity = distance ÷ time
velocity = 3/5 ÷ 1/6
= 18/5 m/h
What are the 3 types of solubility?
The three type of solubility are highly soluble, sparingly soluble or insoluble.
The term solubility is defined as the maximum amount of a substance that will dissolve in a given amount of solvent at a specified temperature
Here we have to major three types of solubility are defined below.
As we all know that Temperature, pressure and the type of bond and forces between the particles are few among them, that are the 3 factors solubility depends on.
According to the concentration of solute dissolves in a solvent, the solutes are categorized into highly soluble, sparingly soluble or insoluble.
Here we have to know that if a concentration of 0.1 g or more of a solute can be dissolved in a 100ml solvent, then it is said to be soluble.
Where as the concentration below 0.1 g is dissolved in the solvent it is said to be sparingly soluble.
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PLEASE HELP!!! I need these answers for Geometry.
Answer: x=(y+9)5−32 simplified
Step-by-step explanation:
Mark purchased 3 hotdogs and 2 pretzels for $7.50. Mary’s purchased 2 hotdogs and 4 pretzels for $7. How much is each item
Answer:
Hotdog costs $2 and pretzel costs $0.75--------------------------
Let the cost of a hotdog be h and pretzel be p.
Set up equations as per question:
3h + 2p = 7.52h + 4p = 7Divide the second equation by 2, then subtract from the first one:
3h + 2p - 2h/2 - 4p/2 = 7.5 - 7/23h - h = 7.5 - 3.52h = 4h = 2Now find the value of p:
3*2 + 2p = 7.56 + 2p = 7.52p = 1.5p = 0.75Hotdog costs $2 and pretzel costs $0.75.
What is an equation of the line that passes through the point (-5,7) and is parallel to the line x-5y=15?
Answer: An equation of a line that is parallel to another line has the same slope as the original line. The slope of a line can be found by rearranging the equation of the line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept (the point at which the line crosses the y-axis).
To find the equation of a line that is parallel to the line x - 5y = 15 and passes through the point (-5,7), we can first rearrange the equation of the original line in slope-intercept form:
x - 5y = 15
y = (1/5)x - 3
The slope of this line is (1/5). To find an equation of a line that is parallel to this line and passes through the point (-5,7), we can use the point-slope form of a line:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line and m is the slope of the line.
Substituting in the values given in the question, we get:
y - 7 = (1/5)(x - (-5))
y - 7 = (1/5)x + 1
y = (1/5)x + 1 + 7
y = (1/5)x + 8
Therefore, the equation of the line that is parallel to the line x - 5y = 15 and passes through the point (-5,7) is y = (1/5)x + 8.
Step-by-step explanation:
a population of rabbits doubles every year write an expression for the increase after five years as repeated multiplication. then write it as an exponential expression
Answer: An increase of a population doubling every year can be modeled using repeated multiplication. The expression for the increase after five years would be:
2 * 2 * 2 * 2 * 2 = 2^5 = 32
This can also be written as an exponential expression, with 2 as the base and 5 as the exponent:
2^5 = 32
This notation expresses that 2 is multiplied by itself 5 times to get 32, which represents the population size after 5 years with the rate of doubling every year.
It's also worth mentioning that exponential notation is used to represent the quantity of growth (doubling every year) , and using exponents makes it easy to see how much the population has grown over a certain period of time.
Step-by-step explanation:
Answer:
Step-by-step explanation:
2^5= 32
=2 x 2 x 2 x 2 x 2
= 2^5
= 32
On the way home, Mark rode the first six miles of the trip in 30 minutes to stop at the ice cream shop. What was his speed in miles per hour
The speed of Mark riding the bike is 16 miles/hour. If you know how far something has travelled and how long it took to get there, you can calculate its average speed. Speed is calculated as follows: speed = distance * time.
What are time, distance, and speed?Speed tells us how quickly or slowly an object is moving. While distance, as the name suggests, refers to the amount of space between two points, time refers to the period of time separating two events.
Given,
Distance travelled= 6 miles
time taken = 30 minute =0.5 hour
[tex]speed = distance/time\\speed=8/0.5\\speed= 16 miles/hour[/tex]
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