Answer:
[tex](x - 6)^2 + y^2 = 25[/tex]
Step-by-step explanation:
The standard form of a circle is [tex](x - x_1)^2 + (y - y_1)^2 = \text{R}^2[/tex], where [tex](x_1\text{, }y_1)[/tex] is the center point of the circle, and [tex]\text{R}[/tex] is the circle's radius.
We're given the center of our circle is (6, 0) and its radius is 5, therefore, the circle's equation in standard form is:
[tex](x - 6)^2 + (y - 0)^2 = 5^2\\\to (x - 6)^2 + y^2 = 25[/tex]
Answer:
(x - 6)² + y² = 25
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² +(y - h)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (6, 0 ) and r = 5 , then
(x - 6)² + (y - 0)² = 5² , that is
(x - 6)² + y² = 25
thirty seconds after a bowl begins to leak, the bowl is losing 0.28 ounces of liquid per second. let l(t) represent the amount of liquid that has leaked at any given time, and let t be measured in seconds. which of the following expressions represents this scenario?
The expression that represents this scenario would be l(t) = 0.28t. This expression states that the amount of liquid that has leaked at any given time is equal to 0.28 times the number of seconds that have passed.
What are linear equations?Linear equations are mathematical equations of the type y = mx + b, with and x and y being variables. These equations represent a straight line on a graph and are referred to be "linear" since the maximum power of the variable is 1. For example, the equation y = 2x + 3 is a linear equation since the maximum power of the variable x is 1. Linear equations are useful for representing a broad range of real-world events, such as the link between the distance an object travels and the time it takes to traverse that distance. They are a common tool in many disciplines, including physics, engineering, and economics. They are also quite simple to answer.
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From 1987 to 2009, the number
B
of federally insured banks could be approximated by
B
(
t
)
=
−
327.4
t
+
13715
where t is the year and t=0 corresponds to 1987.
Answer:
12100
Step-by-step explanation:
If the number B of federally insured banks could be approximated by B ( t ) = − 329.4 t + 13747 from 1985 to 2007 where t = 0 correspond to year 1985
In order to determine the amount of federally insured banks that were there in 1990, we will first calculate the year range from initial time 1985 till 1990
The amount of time during this period is 5years. Substituting t = 5 into the modeled equation will give;
B ( t ) = − 329.4 t + 13747
B(5) = -329.4(5) + 13747
B(5) = -1647+13747
B(5) = 12100
This shows that there will be 12100 federally insured banks are there in the year 1990.
Yaritza and her children went into a restaurant that sells hamburgers for $5 each and tacos for $2.50 each. Yaritza has $60 to spend and must buy at least 14 hamburgers and tacos altogether. If x represents the number of hamburgers purchased and y represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.
The system of inequalities is
x + y ≥ 14
5x + 2.5y ≤ 60
Given, that Yaritza and her children went into a restaurant that sells hamburgers for $5 each and tacos for $2.50 each.
Yaritza has $60 to spend and must buy at least 14 hamburgers and tacos altogether.
As, x represents the number of hamburgers purchased and y represents the number of tacos purchased
Now, according to the question
x + y ≥ 14
as, she must buy at least 14 hamburgers and tacos altogether.
Now, 5x + 2.5y ≤ 60
as, she has $60 to spend.
So, we have two inequalities
x + y ≥ 14
5x + 2.5y ≤ 60
Hence, the system of inequalities for the given problem is
x + y ≥ 14
5x + 2.5y ≤ 60
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4 8 12
A B
++++
24 32
C
48
What number does C stand for?
D
56 60
Answer:
The answer is 40
Step-by-step explanation:
You are counting by 4's
When Arianna, left her house, her cell phone was 45% charged started losing charge at a constant rate. 4 hours after leaving her house, the battery had 15% remaining battery life. Write an equation for B, in terms of t, representing the charge remaining in Arianna's battery, as a percentage, t hours after Arianna left her house.
The answer, Arianna's battery, as a percentage, 3.75t hours after Arianna left her house.
What is percentage?
A percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one-hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. A portion per hundred is what the percentage denotes. Percentage refers to one in a hundred. The % sign is used to denote it.
The initial charge of Arianna's phone = 45%
now the charge remaining in Arianna's battery = 15%
If after 4 hours of leaving her house, the battery had 15% remaining battery life, then the battery is discharging at the rate of ( 15% / 4 hours)
=3.75% per hour.
Thus, the charge remaining in Arianna's battery after she left her house will be, B = 3.75t
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Which of the following is equivalent to 1.92?
1.92%
19.2%
twenty five over twenty three
one and twenty three twenty fifths
Answer: The answer is d 1 23/25
Step-by-step explanation: if you where to rewrite 1.92 as a improper fraction you would get 48/25 so the next step would be to rewrite 48/25 as a mixed number then you would get 1 23/25 there you go :))
Average rate of change from x=2 to x=6
The average rate of change from x=2 to x=6 is 0.
What is the average rate of change?
The average rate of change is a measurement of how much the function changed on average per unit during that time period.
The average rate of change of function f over the interval a≤x≤b, is less than or equal to, x, is less than or equal to, b is given by this expression:
[tex]f'(x) = \frac{f(b)-f(a)}{b-a}[/tex]
Given, for x = 2 to x = 6 , we get a = 2 and b = 6
Then, from the figure,
f(a) = f(2) = -2
f(b) = f(6) = -2
Now,
Average rate of change = [tex]\frac{f(6)-f(2)}{6-2}[/tex] = [tex]\frac{-2-(-2)}{4}[/tex] = 0
Hence, the average rate of change is 0.
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40 POINTS PLEASE HELP ASAP!!! Will give Brainliest if correct. Please show some work.
The answer shown is incorrect as it doesn't follow the rules of indices? Unless that was your attempt?
A power outside the bracket should multiply with the inner powers not add, so the first part should be
(3 x^2 y^5)^4
= 3^4 x^(2*4) y^(5*4)
= 81 x^8 y^20
Then you have
81 x^8 y^20 + x^6 y^9 - 12 x^8 y^20
The powers that equal can be taken away to give
69 x^8 y^20 + x^6 y^9
I hope it's clear enough
PLEASR HELP!!! What is the name for this angle below
•HJI
•HIJ
•IJH
1. A judge is sentencing a man for speeding. He plans to charge him $30 for every mile over the speed limit that he was driving. If the speed limit was 35 and the man was driving 52.7 miles per hour, what will be the amount he owes for the ticket? Show your work and/or explain your answer.
Answer:
The amount of the ticket will be $531.
Step-by-step explanation:
If the driver is charged $30 for every mile above the speed limit, than :
diff = 52.7 - 35
= 17.7 miles
which leads to say that he owes 17.7 * $30 = $531
8 9/10-3 2/3
Step by step if you want to
Answer:
The answer for that question is 5.233
The 3 is repetitive
HURRY!! What is the distance between points G and H?
Points G (-5,-8) and H (3,7) are plotted on a coordinate grid.
___ units
The distance between Points G (-5,-8) and H (3,7) are plotted on a coordinate grid will be 17 units.
What is distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations. The distance formula is typically employed to determine the separation between two places. The Pythagoras theorem is used to help create a triangle and to derive the formula.
It is given that the points are plotted on a coordinate grid. are, G (-5,-8) and H (3,7).
The distance between the two points is obtained for the point (x₁.y₁) and (x₂,y₂) is,
[tex]\rm d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]
The distance between the points G (-5,-8) and H (3,7).
[tex]\rm d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\ GH = \sqrt{(3-(-5))^2 + (7-(-8))^2} \\\\ GH = \sqrt{289} \\\\ GH = 17 \ units[/tex]
Thus, the distance between Points G (-5,-8) and H (3,7) plotted on a coordinate grid will be 17 units.
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Use the five digits in an equation that has the answer of 42: 8 1 3 6 5
Determine the remainder if
(x3 + 4x - 24) is divided by
(x - 2).
When [tex]x^3[/tex]+4x-24 is divided by x-2 then the remainder is -8.
What is remainder theorem?
Remainder Theorem is a method for dividing polynomials according to Euclidean geometry. This theorem states that when a polynomial P(x) is divided by a factor (x - a), which isn't really an element of the polynomial, a smaller polynomial is produced along with a remainder. The remainder theorem asserts that when a polynomial p(x) is divided by (x - a), the remainder equals f. (a). Using Euclid's Division Lemma, this may be demonstrated. To put it another way, p(x) = q(x) (x - a) + r if q(x) is the quotient and 'r' is the remainder.
Here the given [tex]x^3[/tex]+4x-24 and x-2
When a function f(x) is divided by x+a, then the remainder is given by f(−a):
So, in this case remainder will be f(2) .
=> f(x)= [tex]x^3[/tex]+4x-24
put x=2 then
=> f(2)= [tex]2^3[/tex]+4(2)-24
=> f(2) =8+8-24
=> f(2) = 16-24 =-8
Hence the remainder is -8.
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To promote your basket business, you plan to give away 10 baskets. Your price is $60 and your normal gross margin percentage is 50%. How much will the giveaway cost you in direct product costs?.
The giveaway cost is $600 and the direct product cost is $300 .
In the question ,
it is given that ,
number of baskets that are planned to give away = 10 basket
price = $60
gross margin percentage = 50%
The give away cost is calculated using the formula
give away cost = number of basket × price
give away cost = 10 × 60 = $600.
the direct product cost can be calculated using the formula
direct product cost = Number of basket x Price x (1-margin%)
direct product cost = 10 × 60 × (1-50%)
= 10 × 60 × 0.5
= 600 × 0.5
= 300
Therefore , The giveaway cost is $600 and the direct product cost is $300 .
The given question is incomplete , the complete question is
To promote your basket business, you plan to give away 10 baskets. Your price is $60 in your normal gross margin percentage is 50%. How much will the give away cost you and direct product costs ?
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a particular 12 -hour digital clock displays the hour and minute of a day. unfortunately, whenever it is supposed to display a 1 , it mistakenly displays a 9. for example, when it is 1 : 16 pm the clock incorrectly shows 9 : 96 pm . what fraction of the day will the clock show the correct time?
1/2 fraction of the day will the clock show the correct time when it is supposed to display a 1 , it mistakenly displays a 9.
What is fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Here,
=2/3(1-15/60)
=2/3(3/4)
=2/4
=1/2
When the clock should be displaying a 1, but instead shows a 9, the correct time will be displayed for 1/2 of the day.
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What is 348,962 rounded to the nearest ten thousand?
Answer:
i think its 350000
Step-by-step explanation:
hope it helps! :)
Which set of coordinates represents Figure MNOP reflected across the x-axis?
The set of coordinates after the reflection is (c) M' = (-3, -4) N' = (2, -3) O' = (1, -1) P' = (-2, -2)
How to determine the coordinates after the reflection?The graph represents the given parameter
On the graph, we have the following coordinate points
M = (-3, 4)
N = (2, 3)
O = (1, 1)
P = (-2, 2)
The rule of the reflection is given as:
Reflection across the x-axis
Mathematically, this is represented as
(x, y) ⇒ (x, -y)
When this is applied to the points, we have the following representation
M' = (-3, -4)
N' = (2, -3)
O' = (1, -1)
P' = (-2, -2)
Hence, the set of coordinates is (c)
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help me its due today and its 9:42 2^3 x 5^111
Round the decimal two hundred twenty-one and five hundred seventy-four thousandths to the nearest tenth.
A popular act command $250,000 for a ingle appearance plu 20% of ticket ale and 10% of conceion receipt. If ticket ale are $1,250,000 and conceion receipt are $400,000, what will the act be paid for their performance?
Answer:
$540,000
Step-by-step explanation:
250000 + .2(1250000) + .1(400000)
250000 + 250000 + 40000
540,000
Mo has $90.00 already saved and has a job making $8.00 per hour. Merv already has $50.00 saved and has a job making $8.50 per hour. They both want to save enough money to buy a pair of airpods for $130.00.
Task 1 - Analyze Mo’s Story
Write Mo’s financial situation expressing their total dollar amount saved as a linear function of time (hours) in Slope Intercept Form. In a few sentences interpret what the slope represents in this situation. Interpret what the y-intercept means in terms of Mo’s financial story.
Task 2 - Analyze Merv’s Story
Write Merv’s financial situation expressing their total dollar amount saved as a linear function of time (hours) in Slope Intercept Form. In a few sentences interpret what the slope represents in this situation. Interpret what the y-intercept means in terms of Merv’s financial story.
Task 3 - Evaluate and Compare
Calculate who will reach their financial goal of purchasing the airpods if they both work 8 hours this week. Provide a full Algebraic solution and a paragraph explaining your reasoning. Make sure you use topic sentences to make a claim and transition words to support the claim, creating clear focus and logical order to your reasoning..
The total dollar amount saved by Mo is y = $90 + $8h. The y-intercept is the amount of money he has already saved, $90. The slope is the rate at which the amount saved would increase, $8.
The total dollar amount saved by Merv is y = $50 + $8.50h. The y-intercept is the amount of money he has already saved, $50. The slope is the rate at which the amount saved would increase, $8.50.
Mo would reach the goal. Because the total amount of money he would have saved is $154.
Who would reach the goal?A linear equation is an equation that has a single variable that is raised to the power of one. When drawn on a graph, a linear equation is a straight line.
The general form of a linear equation is:
y = mx + b
Where:
m = slope b = y-interceptThe equation that would be used to represent the total amount of money saved is:
Equation that represents the amount that should be saved by Mo:
y = $90 + $8h
Substitute h with 8
y = $90 + $8(8)
y = $90 + $64 = $154
The total dollar amount saved by Merv is:
y = $50 + $8.50h
Substitute h with 8
y = $50 + (8.50 x 8)
y = $50 + 68
y = 118
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The vertices of a triangle are L(0,1), M(1, - 2), and N(-2,1). Draw the figure and its image after the translation (x-3,y-4)
The coordinates of the translated of the image is as below
(-3, -3), (-2, -6), and (-5,-3)
What is transformation?Transformation is a term used in mathematics to refer to the movements made by objects.
Translation refers to a type of transformation that involve a linear movement.
Movements as seen in translation includes
leftrightupdownThe up and down movements are on the vertical direction controlled by the y coordinate. While the left and right movements are on the horizontal direction controlled by the x coordinate.
Applying the translation rule (x-3, y-4) the coordinates of the image is calculates as below
(0, 1) ⇒ (0-3, 1-4) ⇒ (-3,-3)
(1, -2) ⇒ (1-3, -2-4) ⇒ (-2,-6)
(-2, 1) ⇒ (-2-3, 1-4) ⇒ (-5, -3)
preimage image
(0, 1) (-3, -3)
(1, -2) (-2, -6)
(-2, 1) (-5, -3)
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A bag contains 6 blue marbles, 5 red marbles, 3 green marbles, and 2 yellow marbles. If 2 marbles are removed from the bag one at a time, without being replaced, what is the probability of selecting 2 red marbles in a row?
The probability of selecting 2 red marbles in a row is 1/12.
A bag contains 6 blue marbles, 5 red marbles, 3 green marbles, and 2 yellow marbles. Two marbles are removed from the bag one at a time without being replaced. We need to find the probability of selecting 2 red marbles in a row. Let the probability be represented by the variable "P".
The probability that the first selected marble will be red is given below :
P1 = 5/(6 + 5 + 3 + 2) = 5/16
The probability that the second selected marble will be red is given below :
P2 = 4/(6 + 4 + 3 + 2) = 4/15
The probability that both of the selected marbles will be red is given below :
P = P1*P2 = (5/16)*(4/15) = 1/12.
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What is the equation of the line that is perpendicular to the given line and passes through the point (2,6).
The equation of the line passing through the point (2,6) and perpendicular to the given line is y = 6.
Given data;
The line is horizontal, and the slope of the line is infinity.
The slope of the line perpendicular will be expressed as [tex]\frac{-1}{∞}[/tex] = 0
To get the equation of the line and passes through the point (2,6),
A line's equation in point-slope form is written as;
[tex]m = \frac{y-yo}{x-xo}[/tex]
As m is the slope of the line then,
The required equation will be:
y - 6 = 0*(x-2)
y - 6 = 0
y = 6
Hence, the equation of the line that is perpendicular to the given line and passes through the point (2,6) is y = 6.
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What value of x will make a0nm similar to ASRQ by the SAS similarity theorem?.
The value of x is 25 will make ΔONM similar to ΔSRQ by the SAS similarity theorem.
Given:
∠ONM is similar to ∠SRQ
From the figure
NM = 10
SR = 20
NO = 8
QR = x
SAS Similarity Theorem:
if two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar.
Both the triangles are similar by SAS if
NO/NM = SR/QR
Now substitute the values
8/10 = 20/x
cross multiplication
8x = 200
dividing both sides by 8
x = 25
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What is the sequence in Pascal's Triangle?.
The triangle-shaped array of numbers known as Pascal's triangle has a top number of 1 and a line of 1s going down each of the other two sides. Each new number is situated between two other numbers and below them; its value is the product of the numbers immediately above it.
What is Pascal's Triangle?
The triangle-shaped array of numbers known as Pascal's triangle has a top number of 1 and a line of 1s going down each of the other two sides. Each new number is situated between two other numbers and below them; its value is the product of the numbers immediately above it.What is the purpose of Pascal's triangle?
In probability theory, combinatorics, and algebra, Pascal's triangle is frequently employed. In general, Pascal's triangle can be used to determine the coefficients of a binomial expansion, the likelihood that a coin will land on its heads or tails, the probabilities of various combinations, etc.Learn more about Pascal's Triangle
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2. What is the 20th term of the arithmetic sequence?
2, 10, 18, 26,...
Answer:
154
Step-by-step explanation:
The difference is 8.
Mg(OH)2 + NaCl ® MgCl₂ + NaOH
How many hydrogen atoms are on the reactant side?
1
2
4
8
The hydrogen atoms are on the reactant side in the reaction is 2 atoms.
What is reaction?Reaction is defined as when atoms' chemical bonds are created or ruptured. The substances that start a chemical reaction are known as reactants, and the compounds that are produced as a result of the reaction are known as products. Now that the chemicals had been combined, bonds would be rearranged, resulting in the production of a new product.
We are aware that one of the requirements for formulating a balanced chemical reaction equation is that the quantity of each element's atoms on the reactant side must match the quantity of that element's atoms on the products side. By performing an atom count, we may determine the number of hydrogen atoms present on the reactants side of the reaction when we examine the reaction as it is proved to be balanced.
Thus, the hydrogen atoms are on the reactant side in the reaction is 2 atoms.
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Please Help ASAP!!!!
The ordered pair that is a solution of the system of inequalities:
4x + 2y > 8
x - y ≥ 2
is (7, 2)
Which ordered pair is a solution for the system of inequalities?Here we have the following system of inequalities:
4x + 2y > 8
x - y ≥ 2
The points (x, y) are solutions only if make both inequalities true. For example let's use the first pair (2, 4)
Replacing that in the inequalities we get:
4*2 + 2*4 > 8
2 - 4 ≥ 2
Simplify the left side:
16 > 8
-2 ≥ 2
The second inequality is false, so (2, 4) is not a solution.
The correct option is the second one, (7, 2), evaluating the inequalities we get:
4*7 + 2*2 = (32) > 8
7 - 2 = 5 ≥ 2
You can see that both are true.
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