(x-5)^2 + (y-9)^2 = 16
im pretty sure thats the answer as you only need the equation
What is the measure of
Answer: c, 84
Step-by-step explanation:
Help! Show work please thank you!
The correct statement is:
x= 125, 180 - (63+62) =55 and 180-55=125
What are interior angles?
An Interior Angle is an angle inside a shape.
The basic polygonal shape of a triangle has three sides and three interior angles. It is one of the fundamental shapes in geometry . It has three connected vertices. Triangles can be divided into a variety of categories according on their sides and angles.
The sum of the diagonal internal angles in a triangle determines its outer angle.
And also,
In a triangle, the sum of the interior angles is always 180°.
So, x= 125 ( Because 63+62=125 ) , 180 - (63+62) =55 and 180-55=125
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What is to 4285 feet in yards
Answer:
1428.33333 yards
Step-by-step explanation:
1 foot = 0.33333 yards
4285 feet = 4285*0.33333 = 1428.33333 yards
i need this quick ??????????????????????????????????????????
The missing terms will be 0.5, 2, and 7.5 respectibily.
What is equivalent ratio?
The concept of a ratio in mathematics is the divisional comparison of two quantities, the antecedent and consequent. As an illustration, each ingredient must be added according to a ratio during cooking. So, we may argue that a ratio is employed to represent one quantity as a portion of another. The ratio can be written as a fraction as well. If the ratio a:b is a fraction, its form is a/b. As a result, it is simple to compare two or more equivalent ratios expressed as equivalent fractions.
1st ratio is 8:16 = 1/2
So the following terms will be 1:0.5
For 4 it will be 4:2.
For15 it will be 15:7.5.
Hence, The missing terms will be 0.5, 2, and 7.5 respectibily.
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Where d is the distance traveled by an object moving at speed r in time t
Find d if r = 10 m/sec. t = 15 sec.
A) 5m
B)25m
C) 150m
Answer:
Option C is the correct answer
C) 150 m
Step-by-step explanation:
Speed = Distance ÷ Time
Distance = Speed × Time
d = 10 × 15
d = 150 m
Thus, The speed of the object is 150 m.
Answer:
d=150m
Step-by-step explanation:
Speed = Distance /Time
10= d/155
d= 150m
w(n)=4n-3; Find w(n+4)
Answer:
w(3n)=12n+2
Step-by-step explanation:
. Explanation: to evaluate w(3n) substitute n=3n into w(n). ⇒w(3n)=4(3n)+2=12n+2.
A movie theater ha a eating capacity of 151. The theater charge $5. 00 for children, $7. 00 for tudent, and $12. 00 for adult. There are half a many adult a there are children. If the total ticket ale wa $ 1086, How many children, tudent, and adult attended?
According to the given statement, there were 58 children, 29 adults and 64 students.
What is an equation?Algebraically speaking, an equation is indeed a statement that establishes the equivalence of two mathematical equations.
Briefing:Let there be x number of children, y number of students and x/2 number of adults. Forming the first equation based on number of students -
x + y + x/2 = 151 : Equation 1
Multiply equation 1 with 2
2x + 2y + x = 302 : Equation 2
3x + 2y = 302 : Equation 3
y = (302 - 3x)/2 : Equation 4
Forming second equation based on cost -
5x + 7y + 12x/2 = 1086 : Equation 5
Rewriting this equation
5x + 7y + 6x = 1086 : Equation 6
11x + 7y = 1086 : Equation 7
Keep the value of y from equation 4 in equation 7
11x + 7(302 - 3x)/2 = 1086
11x + (2114 - 21x)/2 = 1086
22x + 2114 - 21x = 2172
x = 2172 - 2114
x = 58
Now,
y = (302 - 3x)/2
y = (302 - 3×58)/2
y = 128/2
y = 64
Number of adults = 58/2
Number of adults = 29
Thus, there were 58 children, 29 adults and 64 students.
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. The perimeter of a rectangle is 50 inches. Its length is 3 times its width. Write and solve equation to determine the length and width of the rectangle. Check your solution.
18.75 inches is the length of the rectangle and 18.75 inches is the width of rectangle.
What is Area of Rectangle?
The area of Rectangle is length times of width.
The perimeter of a rectangle is 50 inches.
Perimeter=2(Length+Width)
Length=3W
Perimeter=50 inches
50=2(3W+W)
50=2(4W)
50=8W
Divide both sides by 8
50/8=W
W=6.25
Length=3(6.25)=18.75.
Hence, the length of rectangle is 18.75 inches and width is 6.25 inches.
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what is the probability????
Are 9(4 2 x) and 36 2 9x equivalent expressions
Yes, the given expressions are equivalent.
What is the equivalent expression?
Expressions that are equivalent do the same thing even when they have distinct appearances. When we enter the same value for the variable, two algebraic expressions that are equivalent have the same value.
We have,
9(4 - x)
and 36 - 9x
Are these equivalent expressions?
9(4 - x) = 36 - 9x
36 - 9x = 36 - 9x
So, LHS = RHS = 36 - 9x
Therefore, the expression 9(4 - x) and 36 - 9x are equivalent expressions.
Hence, yes the given expressions are equivalent.
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Given the linear function table state the y-intercept. Enter your answer in the box. b:
The y - intercept of a linear function is (0, -4).
What is intercepts?
A y-intercept, also known as a vertical intercept, is a point in analytical geometry where the graph of a function or relation intersects the y-axis of the coordinate system, using the convention that the horizontal axis represents a variable x and the vertical axis represents a variable y. Thus,
x = 0 is satisfied at these points.
y - intercept is the point which crosses the y - axis.
Since y - intercept is when x = 0
From the table the first point is x = 0.
Hence, the y - intercept of a linear function is (0, -4).
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Josiah is going to invest $4,800 and leave it in an account for 6 years. Assuming the interest is compounded daily, what interest rate, to the nearest tenth of a percent, would be required in order for Josiah to end up with $5,400?
Answer:
1.963%
Step-by-step explanation:
Use the equation for compound interest
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]5400 = 4800(1 + \frac{r}{365})^{(365)(6)}\\5400/4800 = 4800(1 + \frac{r}{365})^{(365)(6)}/4800\\1.125 = (1 + \frac{r}{365})^{2190}\\\sqrt[2190]{1.125} = \sqrt[2190]{ (1 + \frac{r}{365})^{2190}} \\1.0000537836544 = 1 + \frac{r}{365} \\1.0000537836544 -1 = 1 + \frac{r}{365} -1\\.0000537836544 = \frac{r}{365}\\(.0000537836544)(365) = ( \frac{r}{365})(365)\\.019631 = r[/tex]
What are equivalent fractions? What are the equivalent fractions of 1/2?
The equivalent fraction is defined below and the few equivalent fractions of 1/2 are 2/4 , 3/6... .
In the question ,
it is given that the fraction is 1/2 .
The Equivalent Fractions are defined as the fractions that have different numerators and denominators but are equal to same value and
A fraction is a part of the whole ; Equivalent fractions represent the same portion of that whole.
the fraction is 1/2 ,
to find the equivalent fraction , we multiply numerator and denominator by 2 ,
we get , 2/4
on multiplying by 3 , we get
= 3/6 .
Therefore , the equivalent fractions of 1/2 are 2/4 , 3/6 ...
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Find the value of the discriminant for the quadratic equation. Then describe the number and type of roots for the equation. Use the
words rational, irrational, or complex to describe the roots.
x² - 8x + 16 = 0
The roots of the quadratic equation x² - 8x + 16 = 0 are real and equal which is 4.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The quadratic equation is given below.
x² - 8x + 16 = 0
The value of the discriminant is given as,
D = b² - 4ac
D = (-8)² - 4(1)(16)
D = 64 - 64
D = 0
The roots of the equation are calculated as,
x² - 8x + 16 = 0
x² - 4x - 4x + 16 = 0
x(x - 4) - 4(x - 4) = 0
(x - 4)(x - 4) = 0
x = 4, 4
The roots of the quadratic equation x² - 8x + 16 = 0 are real and equal which is 4.
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Find the values of x and y in the diagram
Answer
Step by step explanation
The measure of one acute angle of a right triangle is 6 less than twice the measure of the other acute angle. Find the measure of each acute angle.
The measure of each of the acute angles of the right triangle is 32° and 58°.
A right triangle is a kind of triangle which has a right angle (90°) and two acute angles (less than 90°).
Let x = measure of one of the acute angles
If the measure of one acute angle of a right triangle is 6 less than twice the measure of the other acute angle, then
measure of the other acute angle = 2x - 6
The sum of all the angles of any triangle is equal to 180°. Hence,
90° + x + 2x - 6 = 180°
Solve for the value of x.
3x = 96
x = 32
Solve for the measure of the other acute angle.
2x - 6 = 2(32) - 6 = 58
Hence, the two angles are 32° and 58°.
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Ivanna runs 6 miles in 44 minutes. At the same rate, how many minutes would she take to run 9 miles?
Answer:
Step-by-step explanation:
66 minutes
(5 * (4/5) ^ 2 * (3/5))/3
I’m looking for a step by step explanation for the answer in fraction form?
Answer:
[tex]\frac{16}{25}[/tex]
Step-by-step explanation:
[tex]\frac{5*(\frac{4}{5})^{2}*\frac{3}{5} }{3}[/tex]
= [tex]\frac{\frac{5}{1} *\frac{16}{25}*\frac{3}{5} }{3}[/tex]
= [tex]\frac{\frac{5*16*3}{1*25*5} }{3}[/tex]
= [tex]\frac{\frac{240}{125} }{3}[/tex]
= [tex]\frac{\frac{48}{25} }{3}[/tex]
= [tex]\frac{48}{25} /\frac{3}{1}[/tex]
= [tex]\frac{48}{25} *\frac{1}{3}[/tex]
= [tex]\frac{48*1}{25*3}[/tex]
= [tex]\frac{48}{75}[/tex]
= [tex]\frac{16}{25}[/tex]
b. What percent of the votes does the least popular mascot receive?
The least popular mascot receives
Explain your reasoning.
BI U T² T₂
% of the votes.
c. There are 124 votes total. How many votes does tiger receive?
Tiger receives
votes.
How do you write a function from a function table?
A function is a mathematical expression that describes the relationship between an input and an output.
The function table is a visual, graded table with cells for input and cells for output that are organized into rows and columns.
Function tables have three variables components. There is the input, the function and the output. Function tables are created so that one of the three components is unknown and the other two serve as the clues to solving the table.
The rule of a function table is the mathematical operation that describes the relationship between the input and the output. The rule must be consistently applied to all input/output parts.
A traditional function table is made using two rows, with the top row being the input cells and bottom row being the ouput celss. Each column represents a signal input/output relationship.
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How do you solve a 3 step word problem?
The steps to solve a word problem are to read, plan and solve the problem.
1. Read: After reading the issue, decide what the question is trying to get to.
Read the issue at least twice.
Highlight or highlight important words, phrases, and numbers. Put an end to unimportant information.
2. Plan: Consider what the narrative is requesting of you. What facts are provided to you, and what do you need to learn?
Make a drawing.
Keywords may be underlined or circled. (Use crayons or highlighters to color-code important numbers and words.)
Put your own words in the question's place.
3. Solve: Which approach—addition, subtraction, multiplication, or division—could you use to uncover the information that is missing?
Create and solve a numerical sentence.
Employ counters.
Produce charts
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the segments shown below could form a triangle? true or false
Answer:
false
Step-by-step explanation:
5²+6²=61.
>
Square root of 61 is 7.81 and not 12 so the points will not meet
(a³ + 15a² +59a + 12) ÷ (a + 7)
Answer:
(a + 7)(a² + 15a + 59) + 0 = a³ + 15a² + 59a + 12
Step-by-step explanation:
To solve this problem, we can use the long division method.
First, we need to divide the first term of the dividend, which is a³, by the first term of the divisor, which is a. This gives us a quotient of a² with a remainder of 0. We write this as follows:
a³ + 15a² + 59a + 12
a + 7 |
—————
a² | 0
Next, we multiply the divisor by the quotient and subtract it from the dividend, giving us a new dividend of 15a² + 59a + 12. We write this as follows:
a³ + 15a² + 59a + 12
a + 7 |
—————
a² | 0
- |
a² | 15a² + 59a + 12
Next, we divide the first term of the new dividend, which is 15a², by the first term of the divisor, which is a. This gives us a quotient of 15a with a remainder of 0. We write this as follows:
a³ + 15a² + 59a + 12
a + 7 |
—————
a² | 0
- |
a² | 15a² + 59a + 12
|
| 15a | 0
Next, we multiply the divisor by the quotient and subtract it from the dividend, giving us a new dividend of 59a + 12. We write this as follows:
a³ + 15a² + 59a + 12
a + 7 |
—————
a² | 0
- |
a² | 15a² + 59a + 12
|
| 15a | 0
- |
15a | 59a + 12
Finally, we divide the first term of the new dividend, which is 59a, by the first term of the divisor, which is a. This gives us a quotient of 59 with a remainder of 0. We write this as follows:
a³ + 15a² + 59a + 12
a + 7 |
—————
a² | 0
- |
a² | 15a² + 59a + 12
|
| 15a | 0
- |
15a | 59a + 12
|
| 59 | 0
Since the remainder is 0, this means that the expression (a³ + 15a² + 59a + 12) is divisible by (a + 7). Therefore, the quotient is:
a³ + 15a² + 59a + 12
a + 7
—————
a² + 15a + 59
We can check our answer by multiplying the divisor by the quotient and adding the remainder (which is 0), and verifying that the result is equal to the original dividend
(a + 7)(a² + 15a + 59) + 0 = a³ + 15a² + 59a + 12
You roll a 10 ided die. What i the probability of rolling a even number and le than 4?
On rolling a standard die , the probability of getting a even number and less than 4 is 1/6 .
In the question ,
it is given that ,
a standard die is rolled ,
the total outcomes is {1 , 2 , 3 , 4 , 5 , 6} .
the even numbers are {2,4,6} .
and the outcome that are less than 4 is only {2} .
so , the number of favorable outcome is only 1 .
and total number of outcome is 6 ;
So , the probability is = (favorable outcome)/(total outcome)
Substituting the value from above ,
we get ,
probability is = 1/6 .
Therefore , the required probability is 1/6 .
The given question is incomplete , the complete question is
You roll a standard die. What is the probability of getting a even number and less than 4 ?
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Which transformations map the strip pattern onto itself?
a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°
a horizontal translation only
a horizontal translation, a reflection across a horizontal line, and a glide reflection only
a horizontal translation and a 180° rotation only
The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.
What are the conditions for mapping the strip transformation pattern onto itself?The strip pattern can be mapped onto itself in two different ways.
The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees. The second way is to reflect the strip pattern across a vertical line.Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.
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Find how many years it takes for money to quadruple when invested at an annual interest rate of 1.8% compounded continuously.
Answer:
It takes 38.5 years for money to quadruple when invested at an annual interest rate of 1.8% compounded continuously.
0.25r+0.6s
show work
The verbal expression of 0.25r+0.6s is 0.25 multiplied by r plus 0.6 multiplied by s
What is an algebraic expression?An algebraic expression can be described as an expression that is made up of coefficients, factors, terms, constants and variables.
These expressions are also known to be made up of some arithmetic and mathematical operations, which includes;
SubtractionMultiplicationDivisionAdditionBracketParentheses, etcExamples of algebraic expressions:
2x + y
3x + 7
4z + 1
Given the expression:
0.25r+0.6s
It is written in words as;
0.25 multiplied by r plus 0.6 multiplied by s
Hence, algebraic expressions are made up of constants and terms
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Complete question:
0.25r+0.6s. What is the verbal expression
The water level in a swimming pool increased from 4.5 feet to 6 feet what is the percent increase in the water rounded to the nearst tenth of a percent
Answer: 46%
Step-by-step explanation:
answer this please and ty
The solution is Option C.
Number of squares n in a size number s is given by the equation n = 4s + 1
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
Let the number of squares be = n
Let the size number be = s
Now ,
Figure 1 :
The size number s = 1
The number of squares in the figure 1 is = 5 squares
So , the equation will be n = 4s + 1
n = 4 x 1 + 1 = 5 squares
Figure 2 :
The size number s = 2
The number of squares in the figure 2 is = 9 squares
So , the equation will be n = 4s + 1
n = 4 x 2 + 1
n = 8 + 1 = 9 squares
Figure 3 :
The size number s = 3
The number of squares in the figure 2 is = 13 squares
So , the equation will be n = 4s + 1
n = 4 x 3 + 1
n = 12 + 1 = 13 squares
Hence , The equation is given by n = 4s + 1 , where n is the number of squares and s is the size number
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Describe the end behavior of the function -2x^3-13x^2+8x+52
Answer:
[tex]\text{as x} \to \infty, \ \text{y} \to -\infty\\\\\text{as x} \to -\infty, \ \text{y} \to \infty[/tex]
Rises to the left; falls to the right
============================================================
Explanation:
The leading term is what determines the end behavior of any polynomial function.
Given polynomial: -2x^3-13x^2+8x+52Leading term: -2x^3The leading term has the largest exponent. The other terms will have no effect on the end behavior.
As x gets really large in the positive direction, so does x^3. But the -2 out front will flip to have y go to negative infinity.
Therefore: [tex]\text{as x} \to \infty, \ \text{y} \to -\infty[/tex]
We can informally think of this as "falls to the right".
---------------------------
As x heads to the left, x^3 becomes further negative. But -2 out front makes -2x^3 to be positive.
So [tex]\text{as x} \to -\infty, \ \text{y} \to \infty[/tex] aka "rises to the left".
Whatever x does, y does the opposite. If x goes positive, then y goes negative and vice versa.
-------------------------
The end behavior is therefore
[tex]\text{as x} \to \infty, \ \text{y} \to -\infty\\\\\text{as x} \to -\infty, \ \text{y} \to \infty[/tex]
x and y are opposite.
We can summarize that notation as saying "rises to the left, falls to the right".
See the graph below. I used GeoGebra to make the graph, but you can use Desmos or any other tool you prefer.