Answer:
[tex]\large\boxed{(x-5)^2+(y+3)^2=16}[/tex]
Step-by-step explanation:
The standard form of an equation of a circle:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
(h, k) - center
r - radius
We have the center (5, -3) and the radius r = 4. Substitute:
[tex](x-5)^2+(y-(-3))^2=4^2\\\\(x-5)^2+(y+3)^2=16[/tex]
what is the range of data sets
the highest number and the lowest number of a set
EX: 1,5,6,8,3,8,5
Range is 1-8
Step-by-step explanation: The range is the difference between the greatest number in the data set and the least number in the data set.
Example of data set - 15, 24, 49, 8, 50
50 - 8 = 42.
Range = 42.
If a triangle has side lengths 14,48, and 50 units what type of triangle is it an acute an obtuse a right or no solution.
Answer:
No solution
Step-by-step explanation:
we know that
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
so
In this problem
[tex]48+50>14[/tex]
[tex]98>14[/tex] -----> is not true
therefore
You can't build a triangle with those dimensions
The price of gas was $1.80 in September then $2.07 in October. Find the percent change from September to October.
twenty seven percent.
The percent change in the price of gasoline from September to October is calculated using the formula for percent change. Subtracting the September price from the October price and dividing by the September price yields a 15% increase.
To calculate the percent change in the price of gasoline from September to October, we use the formula for percent change, which is
(New Price - Old Price) / Old Price
x 100%. In this case, the price in September was $1.80, and the price in October was $2.07.
The percent change can be calculated as follows:
Subtract the old price from the new price: $2.07 - $1.80 = $0.27.Divide the change by the original price: $0.27 / $1.80.Convert this number to a percentage by multiplying by 100, which gives us the percent change: ($0.27 / $1.80)Therefore, the percent change in the price of gasoline from September to October is 15%.
Factor the GCF:
-4y^2 + 12y - 16
A.) -1(4y^2-12y+16)
B.) -4y(y^2-3y+4)
C.) -(y^2-3y+4)
D.) -4(y^2+3y-4)
The expression for when the GCF is factored is -4(y² - 3y + 4). Option D
To factor out the Greatest Common Factor (GCF) from the expression [tex]-4y^2 + 12y - 16[/tex] first, find the GCF of the terms.
The GCF of the coefficients 4, 12, and 16 is 4.
Additionally, there is a common factor of y² in all terms.
Now, we have to actor out the GCF, which is -4, we get;
-4(y² - 3y + 4)
Therefore, the expression -4(y² - 3y + 4) represents the factor GCF from the original expression
Solve for x 5 - x/3 =-15
Answer: 60
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
5−
x
3
=−15
5+
−1
3
x=−15
−1
3
x+5=−15
Step 2: Subtract 5 from both sides.
−1
3
x+5−5=−15−5
−1
3
x=−20
Step 3: Multiply both sides by 3/(-1).
(
3
−1
)*(
−1
3
x)=(
3
−1
)*(−20)
x=60
Answer:
hey buddy theres no 60 in any of the choices.
Step-by-step explanation:
How much water must be evaporated from 36 ounces of a 8% salt solution to make a 9% salt solution?
To obtain a solution that is 9% salt, how many ounces of water must be evaporated
(Simplify your answer.)
Answer:
4 oz of water must be evaporated
Step-by-step explanation:
If we let x represent the amount of water to be evaporated, the relation between the solutions is ...
0.08 · 36 oz = 0.09 · (36 -x) oz
0.09x = 36(0.09 -0.08) . . . . . divide by oz; add .09x, subtract .08·36
x = 36· 0.01/0.09 = 36/9 = 4
4 ounces of water must be evaporated.
Answer:
Step-by-step explanation:
What is the best metric unit to use for the mass of a grasshopper
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷The best metric unit to use for the mass of a grasshopper is grams, because a grasshopper is very light and a gram is small.
One gram is about the weight of a paper clip or a butterfly.
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
TROLLER
Answer:
milligrams
Step-by-step explanation:
a grasshopper does not have a large mas, so you would use milligrams
Which equation represents the graph
Answer:
y= 3|x|+5
Step-by-step explanation:
Remember the graph for |x| is shown on the attached picture
Since the picture you show tell us that y=5 when x=0
we have something like the following y=a|x|+5, where 'a' is a constant that represents the slope of the line (whether is the line from one side of the 'y' axis or from the other), we can see that, when x=1, y=8, so we have another point
we can use the equation for slopes using points 1 (0,5) and 2 (1,8)
thus we have that [tex]a=\frac{8-5}{1-0}=3[/tex]
So the answer is y= 3|x|+5
If f(x) = x/2 + 8, what is f(x) when x = 10?i
Answer: f(x) = 13
Step-by-step explanation:
When x = 10
f(10) = 10/2 + 8
= 5+8
= 13
Hope this helps!
Answer:
13
Step-by-step explanation:
To evaluate substitute x = 10 into f(x), that is
f(10) = [tex]\frac{10}{2}[/tex] + 8 = 5 + 8 = 13
simplify (-5xsquared-3x-7)+(-2x to the 3rd +6x squared-8)
Answer:
[tex]\large\boxed{(-5x^2-3x-7)+(-2x^3+6x-8)=-2x^3-5x^2+3x-15}[/tex]
Step-by-step explanation:
[tex](-5x^2-3x-7)+(-2x^3+6x-8)\\\\=-5x^2-3x-7-2x^3+6x-8\qquad\text{combine like terms}\\\\=-2x^3-5x^2+(-3x+6x)+(-7-8)\\\\=-2x^3-5x^2+3x-15[/tex]
The table shows the ages of the swimmers on Dion’s swim team.The Mean age of the swimmers is 10. Complete the table to find the absolute deviation for each swimmer’s age
Answer:
1
3
1
0
0
1
0
0
1
1
Step-by-step explanation:
Subtract each age by the mean and find the absolute value of your answer.
The absolute deviation for each swimmer’s age was calculated.
What is the absolute deviation?The Absolute deviation is the absolute value of the difference between the mean and a particular observation.
The mean of the ages of the swimmers on Dion’s swim team = 10
Age of Maddox =9 years
So, absolute deviation = Mean - Age of Maddox
Absolute deviation = 10-9 = 1
Age of Enrique = 13 years
So, absolute deviation = Mean - Age of Enrique
Absolute deviation = abs(10-13) = abs(-3) =3
Similarly, the absolute deviation for the rest of the swimmers ( in the same order they are written from top to bottom) are 1, 0, 0, 1, 0, 0, 1, 0 respectively.
Hence, the absolute deviation for each swimmer’s age was calculated.
To get more about absolute deviation visit:
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solve the equation
-84= 6(p-8)
Answer:
-6
Step-by-step explanation:
-84=6(p-8)
-84=6p-48
+48 +48
-36=6p
-36/6=6p/6
-6
Hope this helps
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Which expression is equivalent to (256x16)1/4
Answer:
[tex]4x^{4}[/tex]
Step-by-step explanation:
Given in the question an expression,
[tex](256x^{16})^\frac{1}{4}[/tex]
As we know that,
[tex]x^{\frac{1}{4} }= \sqrt[4]{x}[/tex]
so
[tex]\sqrt[4]{256x^{16} }[/tex]
it could also be written as
[tex]\sqrt{\sqrt{256x^{16} } }[/tex]
First to solve inner square root
[tex]\sqrt{256x^{16} } = 16x^{16/2}[/tex]
[tex]\sqrt{16x^{8} }[/tex]
Second outer square root
[tex]\sqrt{16x^{8}}=4x^{8/2}[/tex]=[tex]4x^{4}[/tex]
A camera manufacturer spends $1,800 each day for overhead expenses plus $9 per camera for labor and materials. The cameras sell for $18 each.
a. How many cameras must the company sell in one day to equal its daily costs?
b. If the manufacturer can increase production by 50 cameras per day, what would their daily profit be?
Answer:
A: they need to sell 100 cameras
B: $2,700
Step-by-step explanation:
13........................
Answer:
C.
Step-by-step explanation:
Answer:
Choice c is the answer.
Step-by-step explanation:
We have given a expression.
[tex]\frac{\sqrt{x} }{\sqrt{x}+\sqrt{5}}[/tex]
We have to find the rationalized form of above expression.
Multiplying and dividing by [tex]\sqrt{x}-\sqrt{5}[/tex] to given expression,we have
[tex]\frac{\sqrt{x} }{\sqrt{x}+\sqrt{5} } \frac{\sqrt{x}-\sqrt{5} }{\sqrt{x}-\sqrt{5} }[/tex]
[tex]\frac{\sqrt{x}(\sqrt{x}-\sqrt{5})}{(\sqrt{x})^{2}-(\sqrt{5})^{2}}[/tex]
[tex]\frac{(\sqrt{x})^{2}-\sqrt{5}\sqrt{x}}{x-5}[/tex]
[tex]\frac{x-\sqrt{5x} }{x-5}[/tex] which is the rationalized form of given expression.
what is the constant of proportionality for the relationship between the length of the arc intercepted by 80 angle and the radius of the circle ?
Eight hundred thousands
Final answer:
The constant of proportionality for the relationship between the length of the arc intercepted by an 80 degree angle and the radius of the circle is π/9 or approximately 0.349 radians per unit of length.
Explanation:
The constant of proportionality for the relationship between the length of the arc intercepted by an 80 degree angle and the radius of the circle is π/9 or approximately 0.349 radians per unit of length.
This can be determined by using the formula for arc length: L = 2πr(A/360), where L is the length of the arc, r is the radius of the circle, and A is the angle in degrees. Since we know that A = 80 degrees, we can substitute the values into the formula to find the constant of proportionality.
L = 2πr(80/360) = (π/9)r
Which expression is equivalent to
➷ 5 is multiplied by itself giving this value:
[tex]5^{6}[/tex]
However, the 3 isn't involved with the exponents so the answer would be:
[tex]3(5)^{6}[/tex]
✽➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ ʜᴀɴɴᴀʜ ♡
Answer:
C) 3(5)^6
Step-by-step explanation:
Note the amount of 5's inside the expression and 3's inside the expression.
In the given expression (3 x 5 x 5 x 5 x 5 x 5 x 5), there are 6 5's and 1 3's.
Note that, when changing multiplication into powers, the amount of the same number multiplied together will equal the number you put as a power. For example:
5 x 5 = 5²
5 x 5 x 5 = 5³
In this case:
5 x 5 x 5 x 5 x 5 x 5 = 5^6
Note that there is still a 3 multiplied inside the expression, and so remember to keep it in the answer.
3(5)^6, or C) is your answer.
~
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Taylan should make 2 marks above the 3 1/4 in the line plot.
Select the proper order from least to greater for 1/2, 5/6, 2/7, 4/2.
Answer:
Step-by-step explanation:
Least: 2/7
Second Least: 1/2
Great: 5/6
Greatest; 4/2 which is just 2
The order is 2/7 , 1/2, 5/6 and 4/2
Step-by-step explanation:1/2 = 0.5
5/6 = 0.83
2/7 = 0.28
4/2 = 2
Do you know the answer ??
Answer: The answer is 6
Sean has 4 cookies. He wants to divide the cookies among his friends so that each friend gets of a cookie. How many friends can he give of a cookie?
The answer is 6
Trust me!
It's not four nor 8 is 6
The 4 cookies can be divided into 6 pairs of cookie pieces:
4 divided by 2/3 = 6
-4x is less than or equal to 32
Answer:
x ≤ -8
Step-by-step explanation:
-4x ≤ 32 => -4x ÷ -4 ≤ 32 ÷ -4 => x ≤ -8
Step-by-step explanation:
-4x≤32
Isolate the variable by dividing by -4 on both sides, to cancel out the coefficient of x
32÷-4=-8
x=-8
Find the value of x.
Answer options: 82, 88, 76, 94
Answer:
x = 76°
Step-by-step explanation:
We can solve this by using the angles of intersecting chords theorem. This tells us that when two chords intersect inside a circle, the angle formed is half of the sum of the intercepted arcs of the angle.
This implies that the angle 94° should be half of the sum of Arc measuring x° and the arc measuring 112°. So we can write the equation as:
[tex]94=\frac{1}{2}(x+112)\\[/tex]
We can simplify and solve for x:
[tex]94=\frac{1}{2}(x+112)\\\\94=\frac{1}{2}x+56\\94-56=\frac{1}{2}x\\38=\frac{1}{2}x\\x=38*2=76[/tex]
Hence, x = 76°
SOLVE FAST!! WORK NOT NEEDED! (3x+1)^2=(2x−5)^2
Answer: [tex]x = \frac{4}{5} , x = -6[/tex]
* Hopefully this helps:) Mark me the brainliest:)!!
What is the solution to the following system of equations?
Answer:
D. (2,1)
Step-by-step explanation:
Fill in the value for y from the first eq (6x-11) into the second:
-2x - 3(6x-11) = -7
Now simplify:
-2x -18x + 33 = -7
-20x = -7-33
20x = 40
x = 2
Now that we have x, plug it into the top eq to get y:
y = 6*2 - 11 = 1
Et voila, x=2 and y=1, so the solution is (2,1).
Answer:
X= 2 and Y=1
Step-by-step explanation:
✯Hello✯
↪ So you know what y is so you can substitute into -2x-3y=-7
↪ -20x+33=-7 (thats after you expand the brackets)
↪ -20x=40
↪ this means that x=2. Therefore if u substitute y=1 and its on the options
❤Gianna❤
me ayudan en esto? es de matemáticas año 1 de completen factors
Answer:
(3p-2)(2p+3).
List 3 measurements with different units that are equal to 5 meters.
500 centimeters
5000 millimeters
.005 kilometers
The surface area of a rectangular prism is 250 cm 2. If its height is 10 centimeters, and its width is 5 centimeters, what is its volume? 500 cm 3 250 cm 3 200 cm 3 150 cm
Answer:
[tex]V=250\ cm^{3}[/tex]
Step-by-step explanation:
step 1
Find the length of the base L
we know that
The surface area of a rectangular prism is equal to
[tex]SA=2B+PH[/tex]
where
B is the area of the base
P is the perimeter of the base
H is the height of the prism
substitute
[tex]SA=2(LW)+2(L+W)H[/tex]
we have
[tex]W=5\ cm[/tex]
[tex]H=10\ cm[/tex]
[tex]SA=250\ cm^{2}[/tex]
substitute in the formula and solve for L
[tex]250=2(5L)+2(L+5)10[/tex]
[tex]250=10L+20L+100[/tex]
[tex]30L=250-100[/tex]
[tex]L=5\ cm[/tex]
step 2
Find the volume of the rectangular prism
The volume is equal to
[tex]V=(LW)H[/tex]
we have
[tex]W=5\ cm[/tex]
[tex]L=5\ cm[/tex]
[tex]H=10\ cm[/tex]
substitute
[tex]V=(5*5)*10=250\ cm^{3}[/tex]
Answer:
250 CM3.
Step-by-step explanation:
determine if the given point is a solution of the given system of linear equations y=3× + 6 y= -2× + 9 (3,3)
Answer:
The point (3, 3) is not a solution of the first equation, therefore is not a solution of the given system of equations.
Step-by-step explanation:
[tex]y=3x+6\ and\ y=-2x+9[/tex]
[tex](3,\ 3)\to\text{put x = 3 and y = 3 to the equations of the functions}\\\text{and check the equality.}\\\\y=3x+6\\\\3=3(3)+6\\3=9+6\\3=15\qquad\text{FALSE!}[/tex]
To determine if the given point (3,3) is a solution of the given system of linear equations y=3x+6 and y=-2x+9, we substitute the values of x and y into both equations and check if the equations hold true. If both equations are true, then the given point is a solution of the system of equations.
Explanation:To determine if the given point (3,3) is a solution of the given system of linear equations y=3x+6 and y=-2x+9, we substitute the values of x and y into both equations and check if the equations hold true.
Substitute x = 3 and y = 3 into the first equation: 3 = 3(3) + 6. Substitute x = 3 and y = 3 into the second equation: 3 = -2(3) + 9. If both equations are true, then the given point (3,3) is a solution of the system of equations.
Let's perform the calculations:
3 = 3(3) + 6 simplifies to 3 = 9 + 6, which is false. 3 = -2(3) + 9 simplifies to 3 = -6 + 9, which is true.
Since only one of the equations is true, the given point (3,3) is not a solution of the system of equations.
Learn more about Solving Systems of Linear Equationshttps://brainly.com/question/12360902
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Which shows two expressions that are equivalent to (-8)(-12)(2)
(-8)(-12)(2) = -8 • -12 • 2
192 //It's positive because - - = +.
Answer: 192
//Hope it helps.
Answer with explanation:
Here the meaning of equivalent expression is that, the value of the expressions after applying operations ,that is original expression and equivalent expression is Identical.
We have to find that expression which is equivalent to:
(-8)×(-12)×(2)
Integers follows Associative Property, that is for any three Integers
→→ a × (b×c)=(a×b)×c=(a×c)×b
So, equivalent expression of →→ (-8)×(-12)×(2)
1.→ [(-8)× (-12)]× (2)
2.→[(-8)×(2)]×(-12)
3.→[(2)×(-12)]×(-8)
4.→ 192